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The global exponential stability and robust H∞ control for discrete switched systems with interval time-varying delay under an arbitrary switching signal is considered in this paper. Linear Matrix Inequality (LMI)-based conditions are proposed to guarantee the global stability and H∞ control for the switched system with parametric perturbations. Some non-negative inequalities are used to reduce the conservativeness of systems. Finally, some numerical examples are illustrated to show the main results.
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Lien et al. (2011) studied this question.
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