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A constructive approach to robust stabilization of switched systems subject to a Wiener process noise is presented. The uncertainties in the system are assumed to be sector bounded. Multiple Lyapunov functions are employed to develop sufficient conditions for a switched stochastic system to be stable in the mean square sense. The stability criterion is expressed in terms of existence of solutions...
This letter concerns with robust exponential stability of stochastic neural networks with Markovian switching. By applying Lyapunov functional method, a sufficient stabilization condition is developed in terms of matrix inequalities. The result is also compared with the previously reported results in the literature. Finally, one simulation example is provided to illustrate the effectiveness of the...
The problems of stochastic stability and sliding mode Hinfin control for a class of nonlinear matched and mismatched uncertain systems with stochastic jumps are considered in this paper. The uncertain system under consideration may have mismatched norm bounded uncertainties in the state matrix. The transition of the jumping parameters in the systems is governed by a finite-state Markov process. A...
In this paper, robust stabilization problems for Networked Control System (NCS) with data loss are investigated. We treat the data dropouts caused by network transmission data rate limit as a switch and obtain the discrete-time linear stochastic switch model for NCS. The stability analysis of closed-loop NCS with data dropout is studied, and a robust Hinfin state feedback controller is designed to...
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