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The problem of delaydependent robust energytopeak filtering design for a class of discretetime switched linear systems with a timevarying state delay and polytopic uncertainties is revisited. The objective is to design a homogeneous switched linear filter guaranteeing the exponential stability of the resulting filtering error system with a minimised robust energytopeak disturbance attenuation level under average dwelltime switching scheme. Based on a novel delay and parameterdependent discontinuous switched Lyapunov–Krasovskii functional combined with Finsler's lemma, a new sufficient condition for robust exponential stability and energytopeak performance analysis is first derived and then the corresponding filter synthesis is developed. It is shown that the filter parameters can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the advantages and less conservatism of the proposed approach in comparison with the existing approaches.
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