In this paper, we investigate the delay-dependent robust stability of fuzzy Cohen-Grossberg neural networks with Markovian jumping parameter and mixed time varying delays by delay decomposition method. A new Lyapunov-Krasovskii functional (LKF) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...

in this paper, we investigate the delay-dependent robust stability of fuzzy cohen-grossberg neural networks with markovian jumping parameter and mixed time varying delays by delay decomposition method. a new lyapunov-krasovskii functional (lkf) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...

O problema de ltragem H 1 para sistemas lineares a tempo-cont nuo e sujeito a falhas e investigado. E proposto uma metodologia para projetar ltros para a classe de sistemas descrita acima que garante um n vel prescrito de atenuaa c~ ao, na norma L 2 induzida pela relaa c~ ao sinal de ru do versus ^ erro de estimaa c~ ao. Os resultados principais s~ ao conseguidos via desigualdades matriciais li...

In this paper, we investigate the delay-dependent robust stability of fuzzy Cohen-Grossberg neural networks with Markovian jumping parameter and mixed time varying delays by delay decomposition method. A new Lyapunov-Krasovskii functional (LKF) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...

This paper addresses the problem of H∞ filtering for discrete-time linear systems with Markovian jumping parameters. The main contribution of the paper is to provide a linear matrix inequality approach for designing an asymptotically stable linear time-invariant H∞ filter for systems where the jumping parameter is not accessible. The cases where the transition probability matrix of the Markov c...

In this paper, the problem of stability criteria for Markovian jumping BAM neural networks with leakage and discrete delays has been investigated. Some new sufficient condition are derived based on a novel Lyapunov-Krasovskii functional approach. These new criteria based on delay partitioning idea are proved to be less conservative because free-weighting matrices method and a convex optimizatio...

This paper addresses the problem of stability analysis for a class of genetic regulatory networks (GRNs) with Markovian jumping parameters and time-varying delays. By constructing a novel Lyapunov-Krasovskii functional (LKF) and using an appropriate enlargement scheme, new stability criteria are proposed in terms of linear matrix inequalities, which can guarantee the mean square stability of Ma...

This paper addresses the problem of H∞ control of discrete-time linear systems with Markovian jumping parameters. The main contribution of the paper is to provide a method for designing a state-feedbackH∞ control for systems where the jumping parameter is not accessible. The cases where the transition probability matrix of the Markov process is either exactly known, or unknown but belongs to a ...

In this paper, the robust Kalman filtering problem for uncertain discretetime linear systems with hlarkovian jumping parameters is addressed. It is assumed that the information about the jumping parameters is available, and the uncertainties are formulated by linear fractional transformation. We propose two methods for designing Markovian jumping filters so that the covariance of estimation err...

This paper describes the synthesis of robust output feedback H1 control for a class of uncertain Markovian jump linear systems with time-delays which are time-varying and depend on the system modes of operation. Under the assumption of known bounds of system uncertainties and the control system gain variations, we present sufficient conditions on the existence of robust stochastic stability and...