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This paper investigates robust asymptotic mean-square stability for uncertain stochastic delay systems with Markovian switching. Two types of parametric uncertainties are considered, i.e. Lipschitz nonlinear uncertainties and norm-bounded uncertainties. Based on introducing an auxiliary vector, an integral inequality in stochastic context is obtained. By this stochastic integral inequality, delay-dependent...
This paper investigates the problem of robust stochastic exponential control for a class of uncertain Ito-type stochastic Lurie systems with time delays. Based on Lyapunov-Krasovskii approach, a sufficient condition for the existence of a linear memoryless state feedback controller is formulated in terms of a linear matrix inequality (LMI). For all admissible parametric uncertainties, the desired...
In this paper, a systematic guideline is introduced to design a stable adaptive fuzzy wavelet controller with sliding mode for a class of uncertain nonlinear systems. Based on the Lyapunov synthesis approach, we construct the fuzzy wavelet controller such that it can basically control and guarantee the stability of the whole control system. On the other hand, a robust controller is designed to restrain...
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