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This paper is concerned with the problem of L2-L∞ filtering for a class of neutral stochastic systems with both discrete and distributed time-varying delays. The purpose is focusd on the design of a full order filter such that the resulting filtering error system is stochastically asymptotically stable in the mean square with a prescribed L2-L∞ disturbance attenuation level satisfied. By employing...
A more general class of stochastic nonlinear systems with Markovian switching are considered in this paper. As preliminaries, the stability criteria and the existence theorem of strong solution are firstly presented by using the inequality of mathematic expectation of Lyapunov function and its infinitesimal generator. The state-feedback controller is designed by regarding Markovian switching as constant...
The problem of energy-to-peak control for a class of continuous time-varying delay systems with Markovian switching parameters is discussed. In this paper, such control problem requires that the resulted closed-loop system is exponentially stable in mean square sense with given L2-Hinfindisturbance attenuation. The Markovian switching considered here forms a continuous-time discrete-time homogeneous...
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