A New Integral Inequality and Delay-Decomposition with Uncertain Parameter Approach to the Stability Analysis of Time-Delay Systems. (18th February 2016)

• Record Type: Journal Article
• Authors: Zhang, Haiyang; Xiong, Lianglin; Miao, Qing; Wang, Yanmeng; Peng, Chen
• Other Names: Bonotto Everaldo M. Academic Editor.
• Is Part Of: Journal of difference equations. Volume 2016(2016)
• Publication Date: 2016-02-18
• Subjects: Difference equations -- Periodicals; Difference equations; Periodicals; 515.625
• DOI: 10.1155/2016/6748170
• Languages: English
• ISSNs: 2356-7856

Abstract

Abstract : This paper is concerned with the problem of delay-dependent stability of time-delay systems. Firstly, it introduces a new useful integral inequality which has been proved to be less conservative than the previous inequalities. Next, the inequality combines delay-decomposition approach with uncertain parameters applied to time-delay systems, based on the new Lyapunov-Krasovskii functionals and new stability criteria for system with time-delay have been derived and expressed in terms of LMIs. Finally, a numerical example is provided to show the effectiveness and the less conservative feature of the proposed method compared with some recent results.