Novel Stability Analysis for Uncertain Neutral-Type Lur’e Systems with Time-Varying Delays Using New InequalityReportar como inadecuado

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Mathematical Problems in Engineering - Volume 2017 2017, Article ID 5731325, 13 pages -

Research Article

College of Sciences, Nanjing University of Aeronautics and Astronautics, Nanjing, China

Mathematics and Computer Science, Yunnan Minzu University, Kunming, China

School of Mathematics and Statistics, Yunnan University, Kunming, China

School of Science, Nanjing University of Science and Technology, Nanjing, China

Correspondence should be addressed to Lianglin Xiong

Received 8 October 2016; Revised 10 January 2017; Accepted 18 January 2017; Published 21 February 2017

Academic Editor: Sabri Arik

Copyright © 2017 Yanmeng Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper considers the delay-dependent stability analysis of neutral-type Lur’e systems with time-varying delays and sector bounded nonlinearities. First of all, using constructed function methods, a new Jensen-like inequality is introduced to obtain less conservative results. Second, a new class of Lyapunov-Krasovskii functional LKF is constructed according to the characteristic of the considered systems. Third, combining with the new inequality and reciprocal convex approach and some other inequality techniques, the new less conservative robust stability criteria are shown in the form of linear matrix inequalities LMIs. Finally, three examples demonstrate the feasibility and the superiority of our methods.

Autor: Yanmeng Wang, Lianglin Xiong, Yongkun Li, Haiyang Zhang, and Chen Peng



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