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Sufficient conditions are given for the stability of linear switched systems with dwell time and with polytopic type parameter uncertainty. A Lyapunov function, in quadratic form, which is non-increasing at the switching instants is assigned to each subsystem. During the dwell time, this function varies piecewise linearly in time after switching occurs. It becomes time invariant afterwards. This function...
Sufficient conditions are given for the stability of linear switched systems with dwell time and with polytopic type parameter uncertainty. A Lyapunov function, in quadratic form, which is non-increasing at the switching instants is assigned to each subsystem. During the dwell time, this function varies piecewise linearly in time after switching occurs. It becomes time invariant afterwards. This function...
The class of switched linear systems with norm-bounded uncertainties is considered here. Robust exponential stability and robust exponential stabilization problems are in focus. First, based on multiple Lyapunov function technique and Metzler matrices, sufficient conditions are derived such that the uncertain switched system is robustly exponentially stable for all uncertainties. Next, a design procedure...
The paper mainly studies the problem of Hinfin robust stability for a new type of uncertain nonlinear time-delay composite systems. Switched uncertain nonlinear time-delay composite systems. Based on single Lyapunov function and multiple Lyapunov function, respectively, two design schemes of decentralized switching laws are obtained, under which the systems are shown to be asymptotically stable with...
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