New delay-dependent synchronization criteria for uncertain Lur'e systems via time-varying delayed feedback control
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2019
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Authors
Yanmeng Wang
- College of Sciences, Nanjing University of Aeronautics and Astronautics, 210016 Nanjing, China.
Lianglin Xiong
- School of Mathematical Sciences, Yunnan Minzu University, 650500 Kunming, China.
Xinzhi Liu
- Department of Applied Mathematics, University of Waterloo Waterloo, Ontario, Canada N2L 3G1.
Haiyang Zhang
- School of Science, Nanjing University of Science and Technology, 210094 Nanjing, China.
Abstract
This paper studies the problem of master-slave synchronization for uncertain Lur’e system via time-varying delayed feedback
control. It proves a new inequality involving double integrals, which can reduce the conservatism of the known Jensen’s
like inequalities according to our analysis. By employing this new inequality and a new class of novel mode-dependent augmented
Lyapunov-Krasovskii functional (LKF), it establishes some novel synchronization criteria, where the controller gain can
be achieved by solving a set of linear matrix inequalities (LMIs). Two examples with numerical simulations are given to illustrate
the feasibility and the superiority of our methods.
Share and Cite
ISRP Style
Yanmeng Wang, Lianglin Xiong, Xinzhi Liu, Haiyang Zhang, New delay-dependent synchronization criteria for uncertain Lur'e systems via time-varying delayed feedback control, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1927--1940
AMA Style
Wang Yanmeng, Xiong Lianglin, Liu Xinzhi, Zhang Haiyang, New delay-dependent synchronization criteria for uncertain Lur'e systems via time-varying delayed feedback control. J. Nonlinear Sci. Appl. (2017); 10(4):1927--1940
Chicago/Turabian Style
Wang, Yanmeng, Xiong, Lianglin, Liu, Xinzhi, Zhang, Haiyang. "New delay-dependent synchronization criteria for uncertain Lur'e systems via time-varying delayed feedback control." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1927--1940
Keywords
- Uncertain Lur’e system
- synchronization
- improved integral inequality
- linear matrix inequalities.
MSC
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