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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...
The problem of robust H∞ control of uncertain linear switched system with dwell time is addressed. A Lyapunov function in a quadratic form, which is non-increasing at the switching instances, is assigned to each subsystem. This function is used to determine the stability and the L2-gain of the switched system, where a bounded real lemma (BRL) is derived that provides an upper-bound to the system L...
The quadratic robust stabilization problem for a class of switched linear systems with uncertainties is studied. The systems not only contain uncertainties, but also experience uncertainties in the input channels. Suppose there exists common Lyapunov function every subsystem of switched linear system, the sufficient conditions for quadratic robust stabilization of the switched systems with uncertainties...
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