Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations

Jie Sun and Jing Zhang

Mathematical Problems in Engineering, 2017, vol. 2017, 1-10

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5941757

DOI: 10.1155/2017/5941757

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