brief paper distributed h consensus filtering in sensor networks with multiple missing measurements the finite horizon case this paper is concerned with a new distributed h consensus filtering problem over a finite horizon for sensor networks with multiple missing measurements the so called h consensus performance requirement is defined to quantify bounded consensus regarding the filtering errors agreements over a finite horizon a set of random variables are utilized to model the probabilistic information missing phenomena occurring in the channels from the system to the sensors a sufficient condition is first established in terms of a set of difference linear matrix inequalities dlmis under which the expected h consensus performance constraint is guaranteed given the measurements and estimates of the system state and its neighbors the filter parameters are then explicitly parameterized by means of the solutions to a certain set of dlmis that can be computed recursively subsequently two kinds of robust distributed h consensus filters are designed for the system with norm bounded uncertainties and polytopic uncertainties finally two numerical simulation examples are used to demonstrate the effectiveness of the proposed distributed filters design scheme

accurate projection methods for the incompressible navier stokes equations abstract this paper considers the accuracy of projection method approximations to the initial boundary value problem for the incompressible navier stokes equations the issue of how to correctly specify numerical boundary conditions for these methods has been outstanding since the birth of the second order methodology a decade and a half ago it has been observed that while the velocity can be reliably computed to second order accuracy in time and space the pressure is typically only first order accurate in the l norm this paper identifies the source of this problem in the interplay of the global pressure update formula with the numerical boundary conditions and presents an improved projection algorithm which is fully second order accurate as demonstrated by a normal mode analysis and numerical experiments in addition a numerical method based on a gauge variable formulation of the incompressible navier stokes equations which provides another option for obtaining fully second order convergence in both velocity and pressure is discussed the connection between the boundary conditions for projection methods and the gauge method is explained in detail

global target aggregation and state agreement of nonlinear multi agent systems with switching topologies in this paper we discuss coordination problems of a group of autonomous agents including the target aggregation to a convex set and the state agreement the aggregation of the whole agent group consisting of leaders informed agents and followers to a given set is investigated with switching interconnection topologies described by the connectivity assumptions on the joint topology in the time interval t for any time t and then the state agreement problem is studied in a similar way an approach based on set stability and limit set analysis is given to study the multi agent convergence problems with the help of graph theory and convex analysis coordination conditions are obtained in some important cases and the results show that simple local rules can make the networked agents with first order nonlinear individual dynamics achieve desired collective behaviors

spurious transients of projection methods in microflow simulations the temporal behavior of projection methods for viscous incompressible lowreynolds number ows is adressed the methods considered result from algebraically splitting the linear system corresponding to each time step in such a way that the computation of velocity is segregated from that of pressure each method is characterized by two possibly equal approximate inverses b1 and b2 of the momentum equation velocity matrix plus a parameter which renders the method non incremental if 0 or incremental if 1 the classical rst order projection method together with more sophisticated methods perot s second order method yosida method pseudoexact factorization method and their incremental variants are put into the same algebraic form and their accuracy numerically tested splitting errors of rst

h h consensus control for multi agent systems with missing measurements the finite horizon case abstract this paper deals with the h consensus control problem for a class of discrete time varying multi agent systems with both missing measurements and parameter uncertainties a directed graph is used to represent the communication topology of the multi agent network and a binary switching sequence satisfying a conditional probability distribution is employed to describe the missing measurements the purpose of the addressed problem is to design a time varying controller such that for all probabilistic missing observations and admissible parameter uncertainties the h consensus performance is guaranteed over a given finite horizon for the closed loop networked multi agent systems according to the given topology the measurement output available for the controller is not only from the individual agent but also from its neighboring agents by using the completing squares method and stochastic analysis techniques necessary and sufficient conditions are derived for the h consensus to be ensured and then the time varying controller parameters are designed by solving coupled backward recursive riccati difference equations rdes a simulation example is utilized to illustrate the usefulness of the proposed control protocol

distributed robust estimation over randomly switching networks using h consensus the paper considers a distributed robust estimation problem over a network with markovian randomly varying topology the objective is to deal with network variations locally by switching observer gains at affected nodes only we propose sufficient conditions which guarantee a suboptimal h level of relative disagreement of estimates in such observer networks when the status of the network is known globally these sufficient conditions enable the network gains to be computed by solving certain lmis when the nodes are to rely on a locally available information about the network topology additional rank constraints are used to condition the gains given this information the results are complemented by necessary conditions which relate properties of the interconnection graph laplacian to the mean square detectability of the plant through measurement and interconnection channels

application of a fractional step method to incompressible navier stokes equations a numerical method for computing three dimensional time dependent incompressible flows is presented the method is based on a fractional step or time splitting scheme in conjunction with the approximate factorization technique it is shown that the use of velocity boundary conditions for the intermediate velocity field can lead to inconsistent numerical solutions appropriate boundary conditions for the intermediate velocity field are derived and tested numerical solutions for flows inside a driven cavity and over a backward facing step are presented and compared with experimental data and other numerical results

on error estimates of the projection methods for the navier stokes equations second order schemes we present in this paper a rigorous error analysis of several projection schemes for the approximation of the unsteady incompressible navier stokes equations the error analysis is accomplished by interpreting the respective projection schemes as second order time discretizations of a perturbed system which approximates the navier stokes equations numerical results in agreement with the error analysis are also presented

distributed set membership observers for interconnected multi rate systems abstract this paper presents a new distributed observer for interconnected multi rate systems the developed observer belongs to the family of set membership estimators and the use of zonotopes is proposed to mathematically describe the sets a choice motivated by the available mathematical background in operations such as intersections combinations and linear manipulations the main features of the proposed distributed observer are a the actual state of any subsystem always belongs to the computed sets b the volume of these sets is minimized in real time c under equivalent assumptions the performance of the observer approaches to that of an analogous distributed kalman filter

cluster synchronization in directed networks of partial state coupled linear systems under pinning control this paper investigates the cluster synchronization for network of linear systems via a generalized pinning control strategy which allows the network of each cluster to take relaxed topological structure for the case with fixed topology it is shown that a feasible feedback controller can be designed to achieve the given cluster synchronization pattern if the induced network topology of each cluster has a directed spanning tree and further compared to the couplings among different clusters the couplings within the each cluster are sufficiently strong an extra balanced condition is imposed on the network topology of each cluster to allow for the cluster synchronization under arbitrary switching network topologies such a balanced condition can be removed via the use of dwell time technique for all the cases the lower bounds for such strengths of couplings within each cluster that secure the synchronization as well as cluster synchronization rate are explicitly specified finally some illustrative examples are provided to demonstrate the effectiveness of the theoretical findings

robust kalman filtering for discrete time varying uncertain systems with multiplicative noises in this paper a robust finite horizon kalman filter is designed for discrete time varying uncertain systems with both additive and multiplicative noises the system under consideration is subject to both deterministic and stochastic uncertainties sufficient conditions for the filter to guarantee an optimized upper bound on the state estimation error variance for admissible uncertainties are established in terms of two discrete riccati difference equations a numerical example is given to show the applicability of the presented method

a lyapunov based distributed consensus filter for a class of nonlinear stochastic systems abstract this paper considers the distributed state estimation problem for nonlinear stochastic systems over sensor networks it is assumed that the nonlinear functions are bounded in the pseudo lipschitz condition based on the stochastic lyapunov stability theory a distributed consensus filter dcf is proposed for both continuous and discrete nonlinear stochastic systems for each node in a sensor network it will be shown that the estimation errors of the proposed filters are exponentially ultimately bounded in the sense of mean square in terms of linear matrix inequality lmi furthermore a criterion is presented to optimize the filter gains based on minimizing the upper bound of mean square error numerical examples are used to verify the theoretical results

robust h control for a class of nonlinear discrete time delay stochastic systems with missing measurements this paper is concerned with the problem of robust h output feedback control for a class of uncertain discrete time delayed nonlinear stochastic systems with missing measurements the parameter uncertainties enter into all the system matrices the time varying delay is unknown with given low and upper bounds the nonlinearities satisfy the sector conditions and the missing measurements are described by a binary switching sequence that obeys a conditional probability distribution the problem addressed is the design of an output feedback controller such that for all admissible uncertainties the resulting closed loop system is exponentially stable in the mean square for the zero disturbance input and also achieves a prescribed h performance level by using the lyapunov method and stochastic analysis techniques sufficient conditions are first derived to guarantee the existence of the desired controllers and then the controller parameters are characterized in terms of linear matrix inequalities lmis a numerical example is exploited to show the usefulness of the results obtained

canonical fractional step methods and consistent boundary conditions for the incompressible navier stokes equations abstract an account of second order fractional step methods and boundary conditions for the incompressible navier stokes equations is presented the goals of the work were i identification and analysis of all possible splitting methods of second order splitting accuracy and ii determination of consistent boundary conditions that yield second order accurate solutions exact and approximate block factorization techniques were used to construct second order splitting methods it has been found that only three canonical types d p and m of splitting methods are nondegenerate and all other second order splitting schemes are either degenerate or equivalent to them investigation of the properties of the canonical methods indicates that a method of type d is recommended for computations in which zero divergence is preferred while a method of type p is better suited to cases where highly accurate pressure is more desirable the consistent boundary conditions on the tentative velocity and pressure have been determined by a procedure that consists of approximation of the split equations and the boundary limit of the result it has been found that the pressure boundary condition is independent of the type of fractional step methods the consistent boundary conditions on the tentative velocity were determined in terms of the natural boundary condition and derivatives of quantities available at the current time step to be evaluated by extrapolation second order fractional step methods that admit the zero pressure gradient boundary condition have been derived by using a transformation that involves the delta form pressure the boundary condition on the new tentative velocity becomes greatly simplified due to improved accuracy built into the transformation

finite horizon h_ infty filtering with missing measurements and quantization effects in this paper a new h filtering approach is developed for a class of discrete time varying systems subject to missing measurements and quantization effects the missing measurements are modeled via a diagonal matrix consisting of a series of mutually independent random variables satisfying certain probabilistic distributions on the interval 0 1 the measured output is quantized by a logarithmic quantizer attention is focused on the design of a stochastic h filter such that the h estimation performance is guaranteed over a given finite horizon in the simultaneous presence of probabilistic missing measurements quantization effects as well as external non gaussian disturbances a necessary and sufficient condition is first established for the existence of the desired time varying filters in virtue of the solvability of certain coupled recursive riccati difference equations rdes owing to its recursive nature the proposed rde approach is shown to be suitable for online application without the need of increasing the problem size the simulation experiment is carried out for the mobile robot localization problem with non gaussian disturbances missing measurements and quantization effects the effectiveness of the proposed method is demonstrated in the numerical example

approximate factorization as a high order splitting for the implicit incompressible flow equations abstract we apply the method of approximate factorization to derive a second order accurate splitting of the incompressible flow equations stokes or navier stokes equations this is novel because the method of approximate factorization was believed inapplicable to this type of equation system we demonstrate the resulting splitting on a second order crank nicolson discretization and point out its intimate relationship to some existing second order accurate splitting projection methods further we use the approximate factorization method to derive entirely new splittings we first develop a new generalized second order accurate splitting which may be specialized to a variety of applications we indicate its application to finite elements checker board free cell centered discretizations and ocean modeling we then generalized the original splitting to an arbitrarily high order scheme

average consensus in networks of dynamic agents with switching topologies and multiple time varying delays in this paper we discuss average consensus problem in undirected networks of dynamic agents with fixed and switching topologies as well as multiple time varying communication delays by employing a linear matrix inequality method we prove that all the nodes in the network achieve average consensus asymptotically for appropriate communication delays if the network topology is connected particularly several feasible linear matrix inequalities are established to determine the maximal allowable upper bound of time varying communication delays numerical examples are given to demonstrate the effectiveness and the sharpness of the theoretical results

event based h_ infty consensus control of multi agent systems with relative output feedback the finite horizon case in this technical note the h infty consensus control problem is investigated over a finite horizon for general discrete time varying multi agent systems subject to energy bounded external disturbances a decentralized estimation based output feedback control protocol is put forward via the relative output measurements a novel event based mechanism is proposed for each intelligent agent to utilize the available information in order to decide when to broadcast messages and update control input the aim of the problem addressed is to co design the time varying controller and estimator parameters such that the controlled multi agent systems achieve consensus with a disturbance attenuation level gamma over a finite horizon 0 t a constrained recursive riccati difference equation approach is developed to derive the sufficient conditions under which the h infty consensus performance is guaranteed in the framework of event based scheme furthermore the desired controller and estimator parameters can be iteratively computed by resorting to the moore penrose pseudo inverse finally the effectiveness of the developed event based h infty consensus control strategy is demonstrated in the numerical simulation

nonfragile distributed filtering for t s fuzzy systems in sensor networks this paper is concerned with the nonfragile distributed h infty filtering problem for a class of discrete time takagi sugeno t s systems in sensor networks additive filter gain uncertainties that reflect imprecision in filter implementation are considered based on the robust control approach sufficient conditions are obtained to ensure that the filtering error system is asymptotically stable with a prescribed h infty performance level and the eigenvalues of the filtering error system in a given circular region the filter parameters are determined by solving a set of linear matrix inequalities a simulation study on the nonlinear tunnel diode circuit system is presented to show the effectiveness of the proposed design method

nonfragile h state estimation for recurrent neural networks with time varying delays on proportional integral observer design in this article a novel proportional integral observer pio design approach is proposed for the nonfragile h state estimation problem for a class of discrete time recurrent neural networks with time varying delays the developed pio is equipped with more design freedom leading to better steady state accuracy compared with the conventional luenberger observer the phenomena of randomly occurring gain variations which are characterized by the bernoulli distributed random variables with certain probabilities are taken into consideration in the implementation of the addressed pio attention is focused on the design of a nonfragile pio such that the error dynamics of the state estimation is exponentially stable in a mean square sense and the prescribed h performance index is also achieved sufficient conditions for the existence of the desired pio are established by virtue of the lyapunov krasovskii functional approach and the matrix inequality technique finally a simulation example is provided to demonstrate the effectiveness of the proposed pio design scheme

local condition based consensus filtering with stochastic nonlinearities and multiple missing measurements this paper is concerned with the distributed h infty consensus filtering problem for a class of discrete time varying systems with stochastic nonlinearities and multiple missing measurements the stochastic nonlinearities are formulated by statistical means and the missing measurements are characterized by a set of random variables obeying bernoulli distribution a novel h infty consensus performance index is proposed to measure both the filtering accuracy of every node and the consensus among neighbor nodes then a new concept called stochastic vector dissipativity is proposed wherein the dissipation matrix is formulated by a nonsingular substochastic matrix which is skillfully constructed by a new defined interval function on the out degree a set of local sufficient conditions in terms of the recursive linear matrix inequalities is presented for each node such that the proposed h infty consensus performance can be guaranteed for the local augmented dynamics over the finite horizon furthermore a novel algorithm proposed here can be implemented on each node finally an illustrative simulation is presented to demonstrate the effectiveness and applicability of the proposed algorithm

homogeneous networks of non introspective agents under external disturbances h almost synchronization this paper addresses the problem of h almost synchronization for homogeneous networks of general linear agents subject to external disturbances and under directional communication links agents are presumed to be non introspective i e agents are not aware of their own states or outputs and the only available information for each agent is a network measurement that is a linear combination of relative outputs under a certain set of conditions a family of dynamic protocols is developed such that the impact of disturbances on the synchronization error dynamics expressed in terms of the h norm of the corresponding closed loop transfer function is reduced to any arbitrarily small value

high order splitting methods for the incompressible navier stokes equations abstract a new pressure formulation for splitting methods is developed that results in high order time accurate schemes for the solution of the incompressible navier stokes equations in particular improved pressure boundary conditions of high order in time are introduced that minimize the effect of erroneous numerical boundary layers induced by splitting methods a new family of stiffly stable schemes is employed in mixed explicit implicit time intgration rules these schemes exhibit much broader stability regions as compared to adams family schemes typically used in splitting methods their stability properties remain almost constant as the accuracy of the integration increases so that robust third or higher order time accurate schemes can readily be constructed that remain stable at relatively large cfl number the new schemes are implemented within the framework of spectral element discretizations in space so that flexibility and accuracy is guaranteed in the numerical experimentation a model stokes problem is studied in detail and several examples of navier stokes solutions of flows in complex geometries are reported comparison is made with the previously used first order in time spectral element splitting and non splitting e g uzawa schemes high order splitting spectral element methods combine accuracy in space and time and flexibility in geometry and thus can be very efficient in direct simulations of turbulent flows in complex geometries

a second order projection method for the incompressible navier stokes equations in this paper we describe a second order projection method for the time dependent incom pressible navier stokes equations as in the original projection method developed by chorin we first solve diffusion convection equations to predict intermediate velocities which are then projected onto the space of divergence free vector fields by introducing more coupling between the diffusion onvection step and the projection step we obtain a temporal discretiza tion that is second order accurate our treatment of the diffusion convection step uses a specialized higher order godunov method for differencing the nonlinear convective terms that provides a robust treatment of these terms at high reynolds number the godunov procedure is second order accurate for smooth flow and remains stable for discontinuous initial data even in the zero viscosity limit we approximate the projection directly using a galerkin procedure that uses a local basis for discretely divergence free vector fields numerical results are presented validating the convergence properties of the method we also apply the method to doubly periodic shear layers to assess the performance of the method on more difficult

functions on the sphere with critical points in pairs and orthogonal geodesic chords abstract using an estimate on the number of critical points for a morse even function on the sphere s m m 1 we prove a multiplicity result for orthogonal geodesic chords in riemannian manifolds with boundary that are diffeomorphic to euclidean balls this yields also a multiplicity result for brake orbits in a potential well

distributed filtering for a class of time varying systems over sensor networks with quantization errors and successive packet dropouts this paper is concerned with the distributed finite horizon filtering problem for a class of time varying systems over lossy sensor networks the time varying system target plant is subject to randomly varying nonlinearities rvns caused by environmental circumstances the lossy sensor network suffers from quantization errors and successive packet dropouts that are described in a unified framework two mutually independent sets of bernoulli distributed white sequences are introduced to govern the random occurrences of the rvns and successive packet dropouts through available output measurements from not only the individual sensor but also its neighboring sensors according to the given topology a sufficient condition is established for the desired distributed finite horizon filter to ensure that the prescribed average filtering performance constraint is satisfied the solution of the distributed filter gains is characterized by solving a set of recursive linear matrix inequalities a simulation example is provided to show the effectiveness of the proposed filtering scheme

distributed h state estimation with stochastic parameters and nonlinearities through sensor networks the finite horizon case this paper deals with the distributed h state estimation problem for a class of discrete time varying nonlinear systems with both stochastic parameters and stochastic nonlinearities the system measurements are collected through sensor networks with sensors distributed according to a given topology the purpose of the addressed problem is to design a set of time varying estimators such that the average estimation performance of the networked sensors is guaranteed over a given finite horizon through available output measurements from not only the individual sensor but also its neighboring sensors a necessary and sufficient condition is established to achieve the h performance constraint and then the estimator design scheme is proposed via a certain h 2 type criterion the desired estimator parameters can be obtained by solving coupled backward recursive riccati difference equations rdes a numerical simulation example is provided to demonstrate the effectiveness and applicability of the proposed estimator design approach

finite horizon quantized h filter design for a class of time varying systems under event triggered transmissions abstract this paper is concerned with the finite horizon quantized h filter design problem for a class of time varying systems with quantization effects and event triggered measurement transmissions a componentwise event triggered transmission strategy is put forward to reduce the unnecessary communication burden for the purpose of energy efficiency the transmitted measurements triggered according to prespecified events are quantized by a logarithmic quantizer special attention is paid to the design of the filter such that a prescribed h performance can be guaranteed over a given finite horizon in the presence of nonlinearities quantization effects and event triggered transmissions two sets of riccati difference equations are introduced to ensure the h estimation performance of the designed filter the filter design algorithm is recursive and thus suitable for online computation a simulation example is illustrated to show the effectiveness of the proposed algorithm applied to the fault detection problem

factorization methods for the numerical approximation of navier stokes equations we investigate a general approach for the numerical approximation of incompressible navier stokes equations based on splitting the original problem into successive subproblems which are cheaper to solve the splitting is obtained through an algebraic approximate factorization of the matrix arising from space and time discretization of the original equations several schemes based on approximate factorization are investigated for some of these methods a formal analogy with well known time advancing schemes such as the projection chorin temam s can be pointed out features and limits of this analogy that was earlier introduced in b perot j comp phys 108 1993 51 8 are addressed other new methods can also be formulated starting from this approach in particular we introduce the so called yosida method which can be investigated in the framework of quasi compressibility schemes numerical results illustrating the different performances of the different methods addressed are presented for a couple of test cases

exponential synchronization of complex networks of linear systems and nonlinear oscillators a unified analysis a unified approach to the analysis of synchronization for complex dynamical networks i e networks of partial state coupled linear systems and networks of full state coupled nonlinear oscillators is introduced it is shown that the developed analysis can be used to describe the difference between the state of each node and the weighted sum of the states of those nodes playing the role of leaders in the networks thus making it feasible to consider the error dynamics for the whole network system different from the other various methods given in the existing literature the analysis employed in this paper is demonstrated successfully in not only providing the consistent convergence analysis with much simpler form but also explicitly specifying the convergence rate

h_ infty state estimation for complex networks with uncertain inner coupling and incomplete measurements in this paper the h state estimation problem is investigated for a class of complex networks with uncertain coupling strength and incomplete measurements with the aid of the interval matrix approach we make the first attempt to characterize the uncertainties entering into the inner coupling matrix the incomplete measurements under consideration include sensor saturations quantization and missing measurements all of which are assumed to occur randomly by introducing a stochastic kronecker delta function these incomplete measurements are described in a unified way and a novel measurement model is proposed to account for these phenomena occurring with individual probability with the measurement model a set of h state estimators is designed such that for all admissible incomplete measurements as well as the uncertain coupling strength the estimation error dynamics is exponentially mean square stable and the h performance requirement is satisfied the characterization of the desired estimator gains is derived in terms of the solution to a convex optimization problem that can be easily solved using the semidefinite program method finally a numerical simulation example is provided to demonstrate the effectiveness and applicability of the proposed design approach

feedback fuzzy control for quantized networked systems with random delays this paper investigates the problem of feedback fuzzy control design for networked systems involving both random measurement and actuation delays and subject to quantization and random packet dropout it is assumed that system state or output signal is quantized before being communicated the paper focuses initially on an observer based output feedback fuzzy controller design and then derives a state feedback controller as special case sufficient conditions for the existence of an admissible fuzzy controller are established to ensure the exponential stability of the resulting closed loop fuzzy system simulation experiments on a lab scale four tank system to demonstrate the applicability of the designed fuzzy control algorithm

distributed non fragile filtering for t s fuzzy systems with event based communications abstract this paper is concerned with the distributed non fragile filtering for a class of discrete time takagi sugeno t s fuzzy systems with event based communication firstly for the purpose of reducing communication a general event generator is employed for sensors to determine the event time instant and then broadcast the measurement output to the filters each sensor node is capable to make its own decision to broadcast the current measurement only when its local measurement output error exceeds a specified threshold secondly filter gain variation phenomenon reflecting the filter implementation uncertainties is also taken into account as the sensor networks are prone to uncertain disturbance in their application a unified modeling is proposed to capture the event based communication packet dropouts and filter gain variations which approximates the practical sensor network more closely based on the fuzzy lyapunov functional sufficient conditions have been presented such that the filtering error system is asymptotically stable with a prescribed weighted disturbance attenuation level the filter gain parameters are determined by solving an optimization problem finally a simulation study is given to show the effectiveness of the proposed new design

cluster consensus control of generic linear multi agent systems under directed topology with acyclic partition this paper investigates the cluster consensus control for generic linear multi agent systems mass under directed interaction topology via distributed feedback controller focus of this paper is particularly on addressing the following problem which is of both theoretical and practical interests but have not been considered in the existing literature under what kind of interaction among the clusters can the cluster consensus control be achieved regardless of the magnitudes of the coupling strengths among the agents directed acyclic interaction topology among the clusters is proved to have this property as opposed to the algebraic conditions provided in the existing literature conditions for guaranteeing the cluster consensus control in this paper are presented in terms of purely the graphic topology conditions and thus are very easy to be verified

distributed non fragile filtering in sensor networks with energy constraints this paper investigates the distributed filtering problem for sensor networks with energy constraint and filter gain variation firstly two strategies are proposed to reduce energy consumption i e the measurement size and the transmission rate reduction strategies to reduce the measurement size a useful measurement selection policy is introduced to choose which element of local measurements is transmitted the selected measurement which has a smaller size than the original one is then stochastically transmitted in order to reflect the imprecision in filter implementation the additive filter gain variation problem is considered based on the switched system approach and some stochastic system analysis methods a sufficient condition is obtained such that the filtering error system is exponentially stable in the mean square sense and a prescribed h performance level is guaranteed filter gains are shown to be determined by solving a set of linear matrix inequalities lmis finally a simulation example is given to demonstrate the effectiveness of the proposed design

distributed h state estimation for stochastic delayed 2 d systems with randomly varying nonlinearities over saturated sensor networks in this paper the distributed h state estimation problem is investigated for the two dimensional 2 d time delay systems the target plant is characterized by the generalized fornasini marchesini 2 d equations where both stochastic disturbances and randomly varying nonlinearities rvns are considered the sensor measurement outputs are subject to saturation restrictions due to the physical limitations of the sensors based on the available measurement outputs from each individual sensor and its neighboring sensors the main purpose of this paper is to design distributed state estimators such that not only the states of the target plant are estimated but also the prescribed h disturbance attenuation performance is guaranteed by defining an energy like function and utilizing the stochastic analysis as well as the inequality techniques sufficient conditions are established under which the augmented estimation error system is globally asymptotically stable in the mean square and the prescribed h performance index is satisfied furthermore the explicit expressions of the individual estimators are also derived finally numerical example is exploited to demonstrate the effectiveness of the results obtained in this paper