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Synchronization of general discrete Lur’e systems

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Abstract

This paper studies a master-slave type of synchronization systems for a general form of two discrete Lur e systems. Some simple necessary and/or sufficient conditions for synchronization are derived. They are basically algebraic conditions, and are convenient to be applied in engineering applications.

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Author information

Authors and Affiliations

  1. Department of Control Science and Engineering, Huazhong University of Science and Technology, 430074, Wuhan, Hubei, China

    Xiaoxin Liao

  2. Department of Electronic Engineering, City University of Hong Kong, Hong kong, China

    Guanrong Chen

  3. Department of Aerospace and Mechanical Engineering, Boston University, 02215, Boston, MA, USA

    Hua’o Wang

Authors
  1. Xiaoxin Liao
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  2. Guanrong Chen
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  3. Hua’o Wang
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Additional information

This work was supported by the National Natural Science Foundation of China (No.60274007,60474011).

Xiaoxin LIAO was born in 1938. He is a Professor and Ph. D. Advisor in the Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China. He has published more than 200 journal papers and 3 books. He obtained the first prize of natural science in Hubei province and second prize in science and technology progress of the Education Minister. His research interests are nonlinear control, neural networks, chaos control and synchronization.

Guanrong CHEN was born in 1948. He is a Chair Professor and Director of the Centre for Chaos Control and Synchronization at the City University of Hong Kong. He received the M.S. degree in computer science from Zhongshan University in 1981 and Ph.D. degree in applied mathematics from Texas A&M University in 1987. He was elected as IEEE Fellow in 1996 for his fundamental contributions in the theory and applications of chaos control and bifurcation analysis.

Hua’o WANG was born in 1966. He is an Associate Professor in the Department of Aerospace and Mechanical Engineering at Boston University. He also holds the position of Cheung Kong Professor and Director of the Center for Nonlinear and Complex Systems at the Huazhong University of Science and Technology, Wuhan, China. He received the Ph. D. degree from the University of Maryland at College Park in 1993. He was on the faculty of Duke University and was a Program Manager for Systems and Control with the U. S. Army Research Office.

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Liao, X., Chen, G. & Wang, H. Synchronization of general discrete Lur’e systems. J. Control Theory Appl. 3, 320–326 (2005). https://doi.org/10.1007/s11768-005-0019-0

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  • DOI: https://doi.org/10.1007/s11768-005-0019-0

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