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This paper studies the problem of robustly stochastic stability of uncertain stochastic systems with time-varying delays, where the system is subjected to both Brownian motion and Markovian parameter jumping. By using some zero equations, neither model transformation nor bounding for cross terms is required to obtain the delay-dependent results. The problem of robustly stochastic stability addressed...
This paper studies the problem of robust guaranteed cost control for the Markovian jump systems with time delay. The problem is to design a state feedback controller such that the closed-loop system is robustly stochastically stable and the closed-loop stochastic guaranteed cost function is not more than a specified upper bound for all admissible uncertainty and time delay. A criterion for the existence...
In this paper, stabilization control problem for a class of two dimensional Markovian jumping nonlinear systems with time-delays is investigated. A sufficient condition of existence and uniqueness of the solution process to Markovian jumping nonlinear systems is given. And, a criterion for asymptotical stability in probability is obtained. Through properly constructing Lyapunov function and using...
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