Multiple summation inequalities and their application to stability analysis of discrete-time delay systems |
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| Authors: | É Gyurkovics K Kiss I Nagy T Takács |
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| Institution: | 1. Mathematical Institute, Budapest University of Technology and Economics, Budapest, Pf. 91, 1521, Hungary;2. Corvinus University of Budapest, 8 F?vám tér, H-1093 Budapest, Hungary |
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| Abstract: | This paper is devoted to stability analysis of discrete-time delay systems based on a set of Lyapunov–Krasovskii functionals. New multiple summation inequalities are derived that involve the famous discrete Jensen?s and Wirtinger?s inequalities, as well as the recently presented inequalities for single and double summation in 16]. The present paper aims at showing that the proposed set of sufficient stability conditions can be arranged into a bidirectional hierarchy of LMIs establishing a rigorous theoretical basis for the comparison of conservatism of the investigated methods. Numerical examples illustrate the efficiency of the method. |
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| Keywords: | Corresponding author |
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