on the relationship between parity space and h2 approaches to fault detection abstract parity space approach and h 2 approach are two important fault detection approaches this paper studies the relationship between these two approaches which reveals frequency domain characteristics of the optimal solution of the parity space approach on the one side and provides a numerical solution of the h 2 optimal design of residual generators on the other side

existence and uniqueness of periodic solutions for a p laplacian duffing equation with a deviating argument abstract by means of mawhin s continuation theorem we study a class of p laplacian duffing type differential equations of the form p x t c x t g t x t x t t e t some new results on the existence and uniqueness of periodic solutions for the above equation are obtained it is significant that the growth degree with respect to the variables u v imposed on g t u v is allowed to be greater than p 1 so our results generalize and improve on the corresponding results in related papers

periodic solutions for p laplacian lienard equation with a deviating argument abstract by employing mawhin s continuation theorem the existence of periodic solutions of the p laplacian lienard equation with a deviating argument p x t f x t x t g x t t e t under various assumptions are obtained

a new parity space approach for fault detection based on stationary wavelet transform in the traditional parity relation based fault detection approach a lower order parity vector means a simpler online realization but a poorer performance index while a higher order parity vector brings a better performance index but leads to a higher computational load and a higher rate of misdetection in this note by introducing the so called stationary wavelet transform into the residual signal a new kind of parity relation based residual generator and the corresponding optimization approach are proposed the residual generator of the new approach can ensure a good performance index a satisfactory low misdetection rate and a suitable response speed to faults with a low order parity vector and a simple online implementation form the method is compared with three existing parity relation based approaches

new results of periodic solutions for rayleigh type p laplacian equation with a variable coefficient ahead of the nonlinear term abstract in this paper we consider the existence of periodic solutions for the rayleigh type p laplacian equation with a deviating argument p x t f x t t g x t t e t the interest is that the function f x and the coefficient t are allowed to change signs which is different from the corresponding ones of known literature

on an n person noncooperative markov game with a metric state space abstract we consider a noncooperative n person discounted markov game with a metric state space and define the total expected discounted gain under some conditions imposed on the objects in the game system we prove that our game system has an equilibrium point and each player has his equilibrium strategy moreover in the case of a nondiscounted game the total expected gain up to a finite time can be obtained and we define the long run expected average gain thus if we impose a further assumption for the objects besides the conditions in the case of the discounted game then it is proved that the equilibrium point exists in the nondiscounted markov game the technique for proving the nondiscounted case is essentially to modify the objects of the game so that they become objects of a modified markov game with a discounted factor which has an equilibrium point in addition to the equilibrium point of the discounted game

parity space based fault detection for linear discrete time varying systems with unknown input in this paper a new approach to parity space based fault detection fd is put forward for linear discrete time varying ldtv systems the focus of our study is on solving the problem with heavy online computational burden the main contributions are two folds firstly the problem of parity space based fd is formulated as finding a minimum of quadratic form of unknown input secondly by applying projection in krein space a solution of optimal parity space based fd is obtained via recursively computing innovations it is shown that the reduction of computation cost is achievable especially with the increase of parity space order finally a numerical example is given to demonstrate the application of the proposed method

on a d solution of a cooperative m person discounted markov game in the game theory the dynamic multiperson model on infinte horizon have been studied by many authors the literature in this area is mostly concerned with the noncooperative equilibrium point although such an equilibrium point enables individual stability for each player it does not guarantee the collective stability actually there are many cases in which the players can find a multistrategy that will yield a smaller total expected discounted loss if we consider game processes which require some cooperation between the players if the cooperation is provided it is natural to set aside the multistrategies which can be improved on the strategies of one player and keep the others cf lai and tanaka 6 7 81 to this end we propose to consider the d solution see definition 3 1 which is analogous to the domination structure for a multiobjective decision problem of yu 12 one can consult lai and ho 9 for the pareto minimum of multiobjective programming see also lai and liu 10 111 for the conditions of pareto and weak pareto optimalities of mul tiobjective functions in this paper we use a convex cone instead of the nonnegative orthant r we will see that the d solution is a more general concept than usual pareto minimum solution in a game process the purpose of this paper is to find a d solution from a feasible set of the total expected dis counted losses for all players here all multistrategies used by the players 578

periodic solutions for p laplacian neutral rayleigh equation with a deviating argument abstract by using topological degree theory and some analytical skill some criteria to guarantee the existence of periodic solutions are derived for p laplacian neutral rayleigh equation with a deviating argument of the following form p x t c x t f x t g x t t e t

some new results on the existence of periodic solutions to a kind of rayleigh equation with a deviating argument abstract by employing the continuation theorem of coincidence degree theory we study a kind of rayleigh equation with a deviating argument as follows x t f x t g x t t p t some new results on the existence of periodic solutions are obtained

duality in generalized linear fractional programming we consider a generalization of a linear fractional program where the maximum of finitely many linear ratios is to be minimized subject to linear constraints for this min max problem a dual in the form of a max min problem is introduced and duality relations are established

on e equilibrium point in a noncooperative n person game abstract in this paper we describe a noncooperative n person game in strategic form or normal form and introduce e equilibrium point we give mainly the characterization of such an e equilibrium point by applying ekeland s theorem

fault tolerant measurement system based on takagi sugeno fuzzy models for a gas turbine in a combined cycle power plant a fault tolerant measurement system for a gas turbine in a combined cycle power plant based on dynamic models principal component analysis pca and q test is presented the proposed scheme makes use of a model based symptom generator which delivers fault signals obtained by using direct identification of parity relations and structured residuals symptoms are then analyzed in a statistical module achieving fault diagnosis and reconstruction of the faulty signals the scheme presents as main advantage the ability of detecting faults in both input and output sensors due to its particular structure tests carried out on the gas turbine of the san isidro combined cycle power plant in the v region chile show that takagi sugeno fuzzy models present the best fitting performance and an acceptable computational cost in comparison with autoregressive exogenous state space and neural models real time software based on this scheme has been developed and connected to osisoft pi system tm the software is running at endesa monitoring and diagnosis center in santiago chile

a two person zero sum markov game with a stopped set abstract we consider a two person zero sum markov game with continuous time up to the time that the game process goes into a fixed subset of a countable state space this subset is called a stopped set of the game we show that such a game with a discount factor has optimal value function and both players will have their optimal stationary strategies the same result is proved for the case of a nondiscounted markov game under some additional conditions that is a reward rate function is nonnegative and the first time entrance time of the game process going to the stopped set is finite with probability one i e p

parity space based fault estimation for linear discrete time varying systems this note is concerned with the problem of parity space based fault estimation for linear discrete time varying systems the design of parity space based fault estimator is formulated as to find a minimum for a matrix quadratic form it is shown that the minimum provides a unified solution to the fault estimation problem with different design criteria such as the performance indices of maximum singular value and frobenius norm a necessary and sufficient condition for the minimum is derived and an analytic solution to the parity space based fault estimator is obtained numerical examples are given to show the effectiveness of the proposed method

on a dynamic fractional game consider a two person zero sum game constructed by a dynamic fractional form we establish the upper value as well as the lower value of a dynamic fractional game and prove that the dual gap is equal to zero under certain conditions it is also established that the saddle point function exists in the fractional game system under certain conditions so that the equilibrium point exists in this game system

periodic solutions for a kind of lienard equation with a deviating argument abstract by means of continuation theorem of coincidence degree theory we study a kind of lienard equation with a deviating argument as follows x t f x t x t g x t t x t e t some new results on the existence of periodic solutions are obtained

enhancement of robustness in observer based fault detection a prerequisite for the feasibility of the technique of observer based fault detection and isolation fdi in dynamic systems is a satisfactory robustness with respect to modelling uncertainties this paper surveys the most relevant methods to increase the robustness in both the stage of residual generation and residual evaluation among these methods are the generalized observer scheme the robust parity space check the unknown input and h observer scheme the decorrelation filter and the concept of adaptive threshold selection it is pointed out that the unknown input observer concept which provides perfect decoupling from the modelling errors or its optimal approximation with the aid of h techniques constitutes a general framework of robust residual generation that generalizes and unifies numerous other approaches among them the parity space and detection filter approach it is further shown that this fdi method can even be applied to a certain class of nonlinear systems

optimally robust redundancy relations for failure detection in uncertain systems all failure detection methods are based either explicitly or implicitly on the use of redundancy i e on possibly dynamic relations among the measured variables the robustness of the failure detection process consequently depends to a great degree on the reliability of the redundancy relations which in turn is affected by the inevitable presence of model uncertainties in this paper the problem of determining redundancy relations that are optimally robust is addressed in a sense that includes several major issues of importance in practical failure detection and that provides a significant amount of intuition concerning the geometry of robust failure detection a procedure is given involving the construction of a single matrix and its singular value decomposition for the determination of a complete sequence of redundancy relations ordered in terms of their level of robustness this procedure also provides the basis for comparing levels of robustness in redundancy provided by different sets of sensors

on minimax fractional programming of generalized convex set functions abstract we derive necessary and sufficient optimality conditions for the discrete minimax programming problem with subdifferentiable i convex set functions then we apply these optimality criteria to construct two models of parameter free dual problems and a third model of another dual problem we also establish weak strong and strictly converse duality theorems

necessary and sufficient conditions for minimax fractional programming we establish the necessary and sufficient optimality conditions for a class of nondifferentiable minimax fractional programming problems solving generalized convex functions subsequently we apply the optimality conditions to formulate one parametric dual problem and we prove weak duality strong duality and strict converse duality theorems

on the existence of periodic solutions for pp laplacian generalized lienard equation by employing mawhin s continuation theorem the existence of periodic solutions of the p laplacian generalized lienard equation with deviating argument p x t f t x t x t t g x t t e t p x t f t x t x t t g x t t e t under various assumptions are obtained

an n person noncooperative discounted vector valued dynamic game with a stopped set abstract the optimization problem of an n person noncooperative discounted vector valued dynamic game with a stopped set is investigated a d convex equilibrium point as the optimization criterion in the game is defined under a domination structure of a convex cone d we show that there exists such a d convex equilibrium point in the game system a modified game system of the original game is formulated which is weighted by a vector factor so that an equilibrium point of the modified game system is still a d convex equilibrium point of the original game system conversely under some additional conditions a d convex equilibrium point will become an equilibrium point of the modified game system further a relation of d convex equilibrium point and the super gradient is discussed

on the existence of periodic solutions for p laplacian generalized lienard equation abstract by employing mawhin s continuation theorem the existence of periodic solutions of the p laplacian generalized lienard equation with deviating argument p x t f t x t x t t g x t t e t under various assumptions are obtained

periodic solutions for a kind of high order p laplacian differential equation with sign changing coefficient ahead of the non linear term abstract in this paper by using the theory of fourier series bernoulli number theory and the continuation theorem of coincidence degree theory we study a kind of high order p laplacian differential equation as follows p y m t m f y t y t h y t t g y t t e t some new results on the existence of periodic solutions are obtained the interesting thing is that the coefficient t is allowed to change sign but the methods used to estimate a priori bounds of periodic solutions are different from the corresponding ones used in the past

periodic solutions for a fourth order rayleigh type p laplacian delay equation abstract by applying mawhin s continuation theory and some new inequalities the existence of periodic solutions for a fourth order rayleigh type p laplacian delay equation is obtained moreover an example is given to illustrate the results

non cooperative n person game with a stopped set a continuous time non cooperative n person markov game with a stopped set is studied in this paper we prove that in the game process with or without discount factor there exists an optimal stationary point of strategies called the equilibrium point and each player has his equilibrium stationary strategy such that the total expected discounted or non discounted gain are maximums

periodic solutions for p laplacian rayleigh equations with a deviating argument abstract by using the generalized borsuk theorem in coincidence degree theory some new criteria for guaranteeing the existence of periodic solutions for p laplacian rayleigh equations with a deviating argument are derived

a characterization of parity space and its application to robust fault detection deals with problems related to the parity relation based residual generation a characterization of parity vectors and a relationship between the order of parity relations and the dimension of the parity space are derived the achieved results are used to determine the degree of freedom for designing parity relation based residual generators and to study the robustness problem