Improved conditions for neutral delay systems with novel inequalities

Volume 10, Issue 5, pp 2309--2317

Publication Date: 2017-05-22

http://dx.doi.org/10.22436/jnsa.010.05.03

Authors

L. L. Xiong - School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, 650500, China.
J. Cheng - School of Science, Hubei University for Nationalities, Enshi, 445000, China.
X. Z. Liu - Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1.
T. Wu - School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, 650500, China.

Abstract

This paper studies the stability problem of a class of neutral delay systems. It firstly establishes two novel integral inequalities, which are better than the same type inequalities found in the literature. Then it derives, by using the new inequalities and the Lyapunov functional method, some sufficient delay-dependent conditions for asymptotic stability of the neutral delay systems. Three numerical examples are provided to illustrate the advantage and effectiveness of the obtained results.

Keywords

New integral inequality, neutral delay system, delay-dependent stability, Lyapunov functional.

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