Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations. (9th March 2017)

• Record Type: Journal Article
• Authors: Sun, Jie; Zhang, Jing
• Other Names: Ubertini Filippo Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2017(2017)
• Publication Date: 2017-03-09
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2017/5941757
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this study, we focus on stability analysis for systems with time-varying delay and nonlinear perturbations. In order to cut down the conservatism of the existing stability criteria, we utilize the triple integral forms of Lyapunov-Krasovskii functional (LKF). In addition, by using single and double integral forms of Wirtinger-based inequality, we overcome some conservatism which come from Jensen's inequality. Three well-known numerical examples are given at the end. Compared with some existing results, our results have less conservatism.