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The problem of H-inf analysis for Markov jump nonlinear systems with Lipchitz type nonlinearity is considered. A sufficient condition for disturbance attenuation in terms of linear matrix inequalities is developed which ensures robust stochastic mean square stability. The design process assumes a prescribed level of disturbance attenuation and uses a mode based Lyapunov function. A numerical example...
In this paper, the problem of robust stability analysis and synthesis of time-delay systems is investigated. Delay is assumed to be time varying and the system is supposed to be linear with polytopic uncertainties. A new type of Lyapunov-Krasovskii functional is proposed. The resulting delay-dependent stability conditions in from of LMIs turn to be less conservative than the existing conditions. The...
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