A Study Of Filtering And Stability Problems For Two-dimensional Systems With Random Parameter Matrices

In this paper,the filtering and stability of systems with random parameter matrices are studied,which can be summarized into two parts:the optimal filtering of discrete time two-dimensional(2-D)nonlinear systems with random parameter matrices in observation;the problem of stochastic stability analysis of two-dimensional switched systems with random parameter matrices.Firstly,the stochastic nonlinearity is described by the characteristics of probability and statistics.The optimal filtering of two-dimensional discrete nonlinear system with stochastic parameter matrix in the observation equation is studied.The problem of optimal filtering of two-dimensional system is solved by using the technique of stochastic analysis,and the optimal filter is designed.Secondly,the stability of two-dimensional switched systems with random parameter matrices is studied.Under arbitrary switching signals,the sufficient conditions for stochastic stability of the systems are obtained by means of random analysis.Under restricted signals,the conditions for random exponential stability of the system are obtained by using the method of average dwell time.Finally,the effective of the proposed problem is verified by simulation examples.