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The paper addresses the problem of H?? model reduction for uncertain Markovian jump systems with time-varying delay and uncertain switching probabilities. The purpose is to find a low-order model which can be used to approximate the original system such that the error system has a prescribed H?? performance. A sufficient condition is obtained in the form of matrix inequality. The cone complementary...
This paper addresses the problem of robust stability of piecewise affine (PWA) uncertain systems with unknown time-varying delay in the state. It is assumed that the uncertainty is norm-bounded and that upper bounds on the state delay and its rate of change are available. A set of linear matrix inequalities (LMI) is derived providing sufficient conditions for the stability of the system. These conditions...
The delay-dependent robust exponential stabilization and L2-gain analysis of the uncertain switched systems with time-varying delay by memoryless state-feedback controllers are studied. The delay-dependent sufficient condition of robust exponential stabilization and satisfying relevant weighting L2-gain for switched systems with time-varying delay is presented by using the average dwell time method...
This paper presents a preliminary result for the problem of robust Hinfin control for linear uncertain switched systems with time-varying delay. Based on multi-Lyapunov function method and linear matrix inequality method, a sufficient condition for switched systems with robust stability and Hinfin criteria gamma using a state-based switching law is proposed.
This paper addresses the passivity problem of T-S fuzzy-model-based switched systems with time-varying delay and uncertainties. By using the Lyapunov-Krasovskii functional method, together with linear matrix inequality approach, the authors first establish the passivity conditions for such class of switched nonlinear systems. These results are easy to be verified and are applicable to any smooth continuous-time...
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