distributed coverage games for energy aware mobile sensor networks inspired by current challenges in data intensive and energy limited sensor networks we formulate a coverage optimization problem for mobile sensors as a constrained repeated multiplayer game each sensor tries to optimize its own coverage while minimizing the processing energy cost the sensors are subject to the informational restriction that the environmental distribution function is unknown a priori we present two distributed learning algorithms where each sensor only remembers its own utility values and actions played during the last plays these algorithms are proven to be convergent in probability to the set of constrained nash equilibria and global optima of a certain coverage performance metric respectively numerical examples are provided to verify the performance of our proposed algorithms

coverage control by multi robot networks with limited range anisotropic sensory this article considers the deployment of a network of robotic agents with limited range communication and anisotropic sensing capabilities we encode the environment coverage provided by the network by means of an expected value objective function this function has a gradient which is not amenable to distributed computation we provide a constant factor approximation of this measure via an alternative aggregate objective function whose gradient is spatially distributed over the limited range delaunay proximity graph we characterise the smoothness properties of the aggregate expected value function and propose a distributed deployment algorithm that enables the network to optimise it simulations illustrate the results

distributed collaborative coverage control schemes for non convex domains the coverage control problem for mobile sensor networks in non convex environments is addressed in this article the sensing model of each node is assumed identical and radial either in the geodesic or the euclidean sense depending on the selected metric the partitioning of the non convex domain can result either in the geodesic or the euclidean voronoi diagram the coverage problem is examined from a two fold aspect based on a proper selection of the sensing model and b the partitioning scheme as directed by the application itself distributed collaborative control schemes are developed further validated via extensive numerical studies

automated fuzzy and probabilistic inference abstract this paper illustrates the use of fril in the solution of inference problems under uncertainty and certain recursive functional equations various aspects of fril discussed include depth and breadth strategies backtracking mechanism and relational algebraic operation examples of the application of the theory to expert systems and decision support systems are provided

growth conditions compact perturbations and operator subdecomposability with applications to generalized cesaro operators abstract we adapt recent results of albrecht and ricker to obtain conditions under which growth constraints on the left resolvent of a banach space operator are preserved under suitable perturbations as an application we establish bishop s property for certain generalized cesaro operators on the classical hardy spaces h p 1 p our methods also apply to unilateral weighted shifts whose weight sequence converges sufficiently rapidly as well as to perturbations of restrictions of a class of generalized scalar operators

an additive formula for samuel multiplicities on hilbert spaces of analytic functions abstract we establish a short exact sequence to relate the germ model of invariant subspaces of a hilbert space of vector valued analytic functions and the sheaf model of the corresponding coinvariant subspaces as a consequence we obtain an additive formula for samuel multiplicities as an application we give a different proof for a formula relating the fibre dimension and the samuel multiplicity which is first proved in fang 2005 11 the feature of the new proof is that the analytic arguments in fang 2005 11 are now subsumed by algebraic machinery

open embeddings and pseudoflat epimorphisms abstract we characterize open embeddings of stein spaces and of c manifolds in terms of certain flatness type conditions on the respective homomorphisms of function algebras

solid extensions of the cesaro operator on the hardy space h2 d abstract we introduce and study the largest banach space of analytic functions on the unit disc which is solid for the coefficient wise order and to which the classical cesaro operator c h 2 h 2 can be continuously extended while still maintaining its values in h 2 properties of this banach space h c e s 2 as well as a characterization of individual analytic functions which belong to h c e s 2 are presented in addition both the multiplier space of h c e s 2 and the spectrum of c h c e s 2 h c e s 2 are determined

after the fuzzy wave reached europe abstract we briefly describe the situation of the fuzzy community in europe before the fuzzy wave we show that there was a lot of expertise in almost all subareas of fuzzy logic then we describe some aspects of the fuzzy wave itself in particular fuzzy control and first generation fuzzy systems that played a role during the time the fuzzy wave reached europe we also make some remarks about european companies and their activities during this time then we discuss the situation after the fuzzy wave some aspects of second generation fuzzy systems the combination of fuzzy logic with other theories and techniques and some new application areas finally we will discuss the chances of fuzzy systems in europe in the future

nonuniform line coverage from noisy scalar measurements we study the problem of distributed coverage control in a network of mobile agents arranged on a line the goal is to design distributed dynamics for the agents to achieve optimal coverage positions with respect to a scalar density field that measures the relative importance of each point on the line unlike previous work which implicitly assumed the agents know this density field we only assume that each agent can access noisy samples of the field at points close to its current location we provide a simple randomized protocol wherein every agent samples the scalar field at three nearby points at each step and which guarantees convergence to the optimal positions we further analyze the convergence time of this protocol and show that under suitable assumptions the squared distance to the optimal coverage configuration decays as o 1 t with the number of iterations t where the constant scales polynomially with the number of agents n we illustrate these results with simulations

distributed partitioning algorithms for multi agent networks with quadratic proximity metrics and sensing constraints abstract we consider a class of voronoi like partitioning problems in which a multi agent network seeks to subdivide a subset of an affine space into a finite number of cells in the presence of sensing constraints the cell of this subdivision that is assigned to a particular agent consists exclusively of points that can be sensed by this agent and are closer to it than to any other agent that can also sense them the proximity between an agent and an arbitrary point is measured in terms of a non homogeneous quadratic generalized distance function which does not in general enjoy the triangle inequality and the symmetry property one of the consequences of this fact is that the structure of the sublevel sets of the utilized proximity metric does not conform with that of the sensing region of an agent due to this mismatch it is possible that a point may be assigned to an agent which is different from its nearest agent simply because the nearest agent cannot sense this point unless special care is taken we propose a distributed partitioning algorithm that enables each agent to compute its own cell independently from the other agents when the only information available to it is the positions and the velocities of the agents that lie inside its sensing region the algorithm is based on an iterative process that adjusts the size of the sensing region of each agent until the associated cell of the latter corresponds to the intersection of its sensing region with the cell that would have been assigned to it in the absence of sensing constraints the correctness of the proposed distributed algorithm which successfully handles the aforementioned issues is studied in detail

fuzzy logic in commercial expert system results and prospects abstract this paper surveys the use of fuzzy methods in commercial applications of the technology of expert systems and in commercial products which aim to support such applications it attempts to evaluate the utility of such an approach to uncertainty management compared to other well known methods of handling uncertainty in expert systems starting from this base it attempts an evaluation of the prospects for fuzzy expert systems in the medium term as a survey it attempts to list applications and commercial products as comprehensively as is practical and includes an extensive bibliography on the topic

the dirac operator of a commuting d tuple abstract given a commuting d tuple t t1 td of otherwise arbitrary operators on a hilbert space there is an associated dirac operator dt significant attributes of the d tuple are best expressed in terms of dt including the taylor spectrum and the notion of fredholmness in fact all properties of t derive from its dirac operator we introduce a general notion of dirac operator in dimension d 1 2 that is appropriate for multivariable operator theory we show that every abstract dirac operator is associated with a commuting d tuple and that two dirac operators are isomorphic iff their associated operator d tuples are unitarily equivalent by relating the curvature invariant introduced in a previous paper to the index of a dirac operator we establish a stability result for the curvature invariant for pure d contractions of finite rank it is shown that for the subcategory of all such t that are a fredholm and and b graded the curvature invariant k t is stable under compact perturbations we do not know if this stability persists when t is fredholm but ungraded although there is concrete evidence that it does

fiber dimension for invariant subspaces abstract in this paper we study the fiber dimension of invariant subspaces for a large class of operators we define a class of invariant subspaces called cf subspaces which are related to the codimension one property we obtain several characterizations of cf subspaces including one in terms of samuel multiplicity other new findings include 1 a lattice additive formula and its applications section 4 2 a new concept of absorbance which describes a rough containment relation for invariant subspaces section 5 3 the existence of a unique smallest cf subspace containing an arbitrary invariant subspace and preserving the fiber dimension section 6

unitary invariants for hilbert modules of finite rank we associate a sheaf model to a class of hilbert modules satisfying a natural finiteness condition it is obtained as the dual to a linear system of hermitian vector spaces in the sense of grothendieck a refined notion of curvature is derived from this construction leading to a new unitary invariant for the hilbert module a division problem with bounds originating in douady s privilege is related to this framework a series of concrete computations illustrate the abstract concepts of the paper

estimates for hilbertian koszul homology abstract the objective of this paper is to give new kind of estimates for hilbertian koszul homology inspired by commutative algebra in multivariable fredholm theory

resolvent estimates and decomposable extensions of generalized cesaro operators we determine the spectrum of generalized cesaro operators with essentially rational symbols acting on various spaces of analytic functions including hardy spaces weighted bergman and dirichlet spaces then we show that in all cases these operators are subdecomposable c 2009 elsevier inc all rights reserved

the fredholm index of a pair of commuting operators ii this paper concerns fredholm theory in several variables and its applications to hilbert spaces of analytic functions one feature is the introduction of ideas from commutative algebra to operator theory specifically we introduce a method to calculate the fredholm index of a pair of commuting operators to achieve this we define and study the hilbert space analogs of samuel multiplicities in commutative algebra then the theory is applied to the symmetric fock space in particular our results imply a satisfactory answer to arveson s program on developing a fredholm theory for pure d contractions when d 2 including both the fredholmness problem and the calculation of indices we also show that arveson s curvature invariant is in fact always equal to the samuel multiplicity for an arbitrary pure d contraction with finite defect rank it follows that the curvature is a similarity invariant

on the spectrum of the cesaro operator on spaces of analytic functions this paper concerns the cesaro operator acting on various spaces of analytic functions on the unit disc the remarkable fact that this operator is subnormal when acting on the hardy space h2 has lead to extensive studies of its spectral picture on other spaces of this type we present some of the methods that have been used to obtain information about the spectrum of the cesaro operator acting on hardy and bergman spaces and give a unified approach to these problems which also yields new results in this direction in particular we prove that the cesaro operator is subdecomposable on h1 and on the standard weighted bergman spaces 0

a class of integral operators on spaces of analytic functions abstract we determine the spectrum and essential spectrum as well as resolvent estimates for a class of integral operators t f z z 1 1 z 0 z f 1 1 d acting on either the analytic besov spaces or other banach spaces of analytic functions on the unit disc including the classical hardy and weighted bergman spaces as well as certain dirichlet spaces and generalized bloch spaces our results unify and extend recent work by aleman and persson 2 the current authors 4 and albrecht and miller 1

spectral properties of cesaro like operators on weighted bergman spaces abstract we determine spectral pictures and resolvent estimates for a class of integral operators on the weighted bergman spaces l a p d m for p 1 1 and show in particular these operators are subdecomposable moreover in the case that p 2 we show that some of these operators are subnormal some are normaloid and some are subscalar

carleson measures multipliers and integration operators for spaces of dirichlet type for 0 1 we let d p denote the space of those functions f which are analytic in the unit disc d z c z 1 and satisfy d 1 z 2 f z p dx dy in this paper we characterize the positive borel measures in d such that d p l q d 0 p q we also characterize the pointwise multipliers from d p to d q 0 p q i fp 2 p in particular we prove that if

centroidal voronoi tessellations applications and algorithms a centroidal voronoi tessellation is a voronoi tessellation whose generating points are the centroids centers of mass of the corresponding voronoi regions we give some applications of such tessellations to problems in image compression quadrature finite difference methods distribution of resources cellular biology statistics and the territorial behavior of animals we discuss methods for computing these tessellations provide some analyses concerning both the tessellations and the methods for their determination and finally present the results of some numerical experiments