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Decentralized output feedback stabilization for switched stochastic high-order nonlinear systems with time-varying state/input delays
Abstract:This paper investigates decentralized output feedback stabilization problem for a class of switched stochastic high-order systems with time-varying state/input delays. With the help of coordinate transformations, a scaling gain is incorporated into the observers and controllers for the nominal system. Based on the homogeneous domination approach and stochastic Lyapunov–Krasovskii stability theorem, it is shown that global asymptotic stability in probability of the closed-loop system can be implemented by tuning the scaling gain. Two examples are given to demonstrate the feasibility of the proposed control method.
Keywords:Switched stochastic nonlinear systems  Time-varying delay  Homogeneous domination approach  Decentralized control  Output feedback
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