A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method

Author:

Tian Jun-kang1ORCID,Liu Yan-min1ORCID

Affiliation:

1. School of Mathematics, Zunyi Normal University, Zunyi, Guizhou 563006, China

Abstract

This paper is concerned with the delay-dependent stability of systems with distributed time-varying delays. The novelty relies on the use of some new inequalities which are less conservative than some existing inequalities. A less conservative stability criterion is obtained by constructing some new augmented Lyapunov–Krasovskii functionals, which are given in terms of linear matrix inequalities. The effectiveness of the presented criterion is demonstrated by two numerical examples.

Funder

Innovative Groups of Education Department of Guizhou Province

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

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