Exponential Stability of Continuous Time Nonlinear Markov Switched Systems with Time-Varying Delays

摘要

In this paper, the stabilization problem is considered for a class of nonlinear continuous Markov switched systems with time-varying state delays where the detection of Markov jumping parameters is imperfect. The purpose of this problem is to design a state feedback controller such that the closed-loop system is exponentially stable (or exponentially ultimately bounded) in the mean square. A key feature of this scheme is that the controller design only depends on the inaccurate measurement of the jumping parameters.