Journal
AUTOMATICA
Volume 64, Issue -, Pages 121-125Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2015.08.025
Keywords
Time-varying delay; Delay-dependent stability; Jensen inequality; Further improvement; Infinite series form
Ask authors/readers for more resources
This paper is concerned with the delay-dependent stability for the linear systems with a time-varying delay. To get a result in the form of LMI from a Lyapunov-Krasovskii functional, an integral inequality is necessary and Jensen inequality has been a most powerful inequality in the last few years. Recently, based on Wirtinger inequality, an improved integral inequality, encompassing Jensen inequality, was proposed and its application to the stability showed a quite improvement. In this paper, without using Wirtinger inequality, a further improved integral inequality in the form of infinite series is derived, and, based on this, a delay-dependent stability condition in the form of LMI is derived. Finally, its contribution on the stability criterion is shown by well-known two examples. (C) 2015 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available