A descriptor approach to stability and control of linear systems with time-varying delays, which is based on the Lyapunov–Krasovskii techniques, are combined with a recent result on the sliding mode control of such systems. The systems under consideration have norm-bounded uncertainties and uncertain bounded delays. The solution is given in terms of linear matrix inequalities and improves the previous results based on other Lyapunov techniques. A numerical example illustrates the advantages of the new method.
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Fridman et al. (2003) studied this question.
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