Novel delay-dependent robust stability criteria for neutral-type time-varying uncertain Lurie nonlinear control system with mixed time delays

Volume 10, Issue 4, pp 2196--2213 http://dx.doi.org/10.22436/jnsa.010.04.71

Publication Date: April 20, 2017 Submission Date: November 17, 2016

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Authors

Kaibo Shi - School of Information Science and Engineering, Chengdu University, Chengdu, 610106, China. Youhua Wei - College of Geophysics, Geomathematics Key Laboratory of Sichuan Province, Chengdu University of Technology, Chengdu, 610059, China. Shouming Zhong - School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu Sichuan, 611731, China. Jun Wang - College of Electrical and Information Engineering, Southwest University for Nationalities, Chengdu, 610041, China.

Abstract

This study examines the problem of robust stability analysis of neutral-type time-varying uncertain Lurie nonlinear control system with mixed time delays. Firstly, by discretizing the time-delay interval into non-uniformly multiple subintervals and decomposing the corresponding integral intervals to estimate the bounds of integral terms more exactly, less conservative stability criteria are derived. Secondly, based on the above delay-partitioning method, a newly augmented Lyapunov-Krasovkii functional is constructed. Thirdly, by taking full advantage of Wirtinger’s integral inequality, which can provide tighter upper bound than Jensen’s inequality, novel delay-dependent robust stability conditions are obtained in terms of linear matrix inequalities. Finally, several numerical examples are presented to illustrate the effectiveness and advantages of the theoretical results.

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Keywords

• Lurie nonlinear control system
• mixed time-varying delays
• Wirtinger’s integral inequality
• Lyapunov-Krasovkii functional
• linear matrix inequality.

MSC

•  93C42
•  93D20

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