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Impulsive synchronization for TS fuzzy model of memristor-based chaotic systems with parameter mismatches

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Abstract

In this paper, the effect of parameter mismatch on the impulsive synchronization for TS fuzzy model of memristor-based chaotic system is investigated and some new and useful criteria are derived. Moreover, using the linear decomposition and comparison system methods, the global quasisynchronization for memristor-based chaotic systems based on the TS fuzzy model in the presence of parameter mismatch is discussed. Finally, numerical simulation results are presented to illustrate the effectiveness of the theoretical results.

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Correspondence to Chuandong Li.

Additional information

Recommended by Associate Editor Choon Ki Ahn under the direction of Editor Euntai Kim. This work is supported by Fundamental Research Funds for the Central Universities (Project No. XDJK2014C118) and Natural Science Foundation of China (Grant nos: 61403313, 61374078), and also supported by the Natural Science Foundation Project of Chongqing CSTC (Grant no. cstc2014jcyjA40014). Graduate Student Research Innovation Project of Chongqing (Projet No. CYS14053) also support this work. This publication was made possible by NPRP Grant No. NPRP 4-1162-1-181 from the Qatar National Research Fund (a member of Qatar Foundation). The statements made herein are solely the responsibility of the authors.

Shiju Yang received her B.S. degree in Electronic Information Engineering from Jinling Institute of Technology, Nanjing, China in 2013, and she is studying for M.S. degree for Signal and Information Processing at Southwest University, Chongqing, China. Her current research interest covers neural networks, memristive systems, intermittent control and synchronization, and impulsive dynamical systems.

Chuandong Li received his B.S. degree in Applied Mathematics from Sichuan University, Chengdu, China in 1992, and M.S. degree in operational research and control theory and Ph. D degree in Computer Software and Theory from Chong-qing University, Chongqing, China, in 2001 and in 2005, respectively. He has been a Professor at the College of Electronic and Information Engineering, Southwest University, Chongqing 400715, China, since 2012, and been the IEEE Senior member since 2010. From November 2006 to November 2008, he serves as a research fellow in the Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China. He has published about more than 100 journal papers. His current research interest covers computational intelligence, neural networks, memristive systems, chaos control and synchronization, and impulsive dynamical systems.

Tingwen Huang obtained his B.S. from Southwest Normal University in 1990, M.S. from Sichuan University in 1993 and Ph.D. from Texas A&M University in 2002. After he graduated at Texas A&M University, he has been working in Mathematics Department of Texas A&M University as Visiting Assistant Professor. In 2003, he started to work at Texas A&M University at Qatar until now. He now is an associate professor of Mathematics. His research fields include neural networks, chaos and its applications, etc. He has published about 30 journal papers on neural networks and nonlinear dynamics.

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Yang, S., Li, C. & Huang, T. Impulsive synchronization for TS fuzzy model of memristor-based chaotic systems with parameter mismatches. Int. J. Control Autom. Syst. 14, 854–864 (2016). https://doi.org/10.1007/s12555-015-0075-2

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