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The problems of stochastic stability and sliding mode robust guaranteed cost 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...
The stochastic H∞ almost disturbance decoupling design problem is formulated to solve for a class of stochastic nonlinear systems with zero dynamics. Firstly, we give an design for the minimum phase stochastic nonlinear systems. Before considering the non-minimum phase case, we give a result about stochastic version of changing supply function technique. Then, with this technical result we show that...
This paper investigates the problem of state feedback control for uncertain nonlinear stochastic systems with time-delay. A state feedback controller is designed so that the closed-loop system is exponentially stable in mean square for all admissible uncertainties. Sufficient conditions are obtained in guarantee that the involved system has robust stabilization in terms of matrix inequalities. A regrouped...
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...
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