New stability conditions of neutral delay systems via free-matrix-based integral inequality

Volume 10, Issue 4, pp 1919--1926 http://dx.doi.org/10.22436/jnsa.010.04.51

Publication Date: April 20, 2017 Submission Date: July 11, 2016

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Authors

Wei Wang - School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China. - Key Laboratory for Electric Drive Control and Intelligent Equipment of Hunan Province, Zhuzhou 412007, China. Hong-Bing Zeng - School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China. - Key Laboratory for Electric Drive Control and Intelligent Equipment of Hunan Province, Zhuzhou 412007, China. Shen-Ping Xiao - School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China. - Key Laboratory for Electric Drive Control and Intelligent Equipment of Hunan Province, Zhuzhou 412007, China. Gang Chen - School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China. Hong-Hai Lian - School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China.

Abstract

The problem of robust stability of uncertain neutral systems with time-delay is studied in this paper. A new free-matrixbased integral inequality is proposed, which is more tighter than existing ones. By using it to investigate the stability of neutral delay systems, less conservative stability conditions are obtained, which are presented in terms of linear matrix inequalities (LMIs). Two numerical examples are provided to illustrate the effectiveness and the reduced conservativeness of the method.

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Keywords

• Stability
• neutral system
• free-matrix-based integral inequality
• Lyapunov-Krasovskii functional.

MSC

•  34K20
•  34K40
•  26D15

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