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The problem of delay-dependent H∞ filtering for uncertain stochastic time-delay systems with norm-bounded uncertainties is investigated in this paper. By introducing an additional vector, a new integral inequality in the stochastic setting is established. Based on this new inequality and free-weighting matrix technique, a delay-dependent sufficient condition for the existence of an H∞ filter for uncertain...
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 stability analysis for linear systems with Markovian jumping parameters and state delays. Based on delay subinterval decomposition approach, a new Lyapunov-Krasovskii functional is proposed to develop the delay-dependent stochastic stability conditions for both nominal and uncertain time-delay Markovian systems. The results are formulated in terms of linear matrix inequalities...
Observer-based robust Hinfin control for a class of Ito-type stochastic systems with parametric uncertainties is investigated in this paper. Observer-based controllers which guarantee the closed-loop augmented system robustly stochastically asymptotically stable in the mean square with prescribed Hinfin disturbance attenuation levels gamma for all admissible parametric uncertainties, are established...
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...
This paper considers stability of stochastic systems with nonlinear uncertainties and time-varying delays. By introducing some slack matrix matrices, a delay-dependent stability criterion is obtained based on Lyapunov-Krasovskii theory. The proposed condition, which is formulated in terms of linear matrix inequalities (LMIs), is constructed without using the model transformation and cross term bounding...
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