New summation inequalities and their applications to discrete-time delay systems

Le Van Hien; Hieu Trinh

doi:10.1016/j.automatica.2016.04.049

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arXiv · 1505.06344

New summation inequalities and their applications to discrete-time delay systems

Le Van Hien·Hieu Trinh

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Abstract

This paper provides new summation inequalities in both single and double forms to be used in stability analysis of discrete-time systems with time-varying delays. The potential capability of the newly derived inequalities is demonstrated by establishing less conservative stability conditions for a class of linear discrete-time systems with an interval time-varying delay in the framework of linear matrix inequalities. The effectiveness and least conservativeness of the derived stability conditions are shown by academic and practical examples.

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Le Van Hien, Hieu Trinh. 2015-05-23. New summation inequalities and their applications to discrete-time delay systems. https://doi.org/10.1016/j.automatica.2016.04.049

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