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On stability of switched linear systems with perturbed switching paths

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Abstract

This paper addresses the stability issue of switched linear systems with perturbed switching paths. First, by introducing the notions of child-path and parent-path, we are able to define the distance between two switching paths by means of their switching matrices chains. Next, we present the nice properties of the defined distance. Then, a stability criterion is presented for a class of switched linear systems with perturbed switching paths. Finally, an illustrative example is presented to verify the effectiveness of the approach.

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Author information

Authors and Affiliations

  1. Center for Control and Optimization, South China University of Technology, Guangzhou, Guangdong, 510641, China

    Zhendong Sun

  2. Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore

    Shuzhi S. Ge

Authors
  1. Zhendong Sun
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  2. Shuzhi S. Ge
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Additional information

This work was partially supported by the National Natural Science Foundation of China (No. 60428304).

Zhendong SUN received the B.S. degree in Applied Mathematics from Ocean University of Qingdao (China) in 1990, the M.S. in Systems Science from Xiamen University (China) in 1993, and the Ph.D. degree in Electrical Engineering from Beijing University of Aeronautics and Astronautics (China) in 1996. During 1996–1998, he was a postdoctoral research associate in Department of Automation, Tsinghua University, China. In 1998, he joined the faculty of Science, Beijing University of Aeronautics and Astronautics, as an associate professor. From 2000 to 2001, he had been with the National University of Singapore as a research fellow. In 2002, he was with the University of New South Wales as a research fellow. Since November 2002, he had been with the Hamilton Institute, National University of Ireland Maynooth, as a senior research fellow. From September 2005, he joined the Center for Control and Optimization, South China University of Technology, as a professor. His current research interests are in the fields of nonlinear control systems, switched and hybrid systems, and sampled data systems. He was the recipient of the Guan Zhao-Zhi Award at the Chinese Control Conference (HongKong, China) in 2000. He was nominated as an Outstanding Reviewer for Automatica in 2003. Since 2004, he has been serving as an Associate Editor on the Conference Editorial Board of the IEEE Control Systems Society.

Shuzhi S. GE received the B.S. degree from Beijing University of Aeronautics and Astronautics (BUAA), and the Ph.D. degree and the Diploma of Imperial College (DIC) from Imperial College of Science, Technology and Medicine, University of London. He has been with the Department of Electrical & Computer Engineering, the National University of Singapore since 1993, where he is currently a Full Professor. He has (co)-authored three books: Adaptive Neural Network Control of Robotic Manipulators (World Scientific, 1998), Stable adaptive Neural Network Control (Kluwer, 2001) and Switched Linear Systems: Control and Design (Springer-Verlag, 2005), and over 200 international journal and conference papers. He has been serving as Associate Editor of this journal, Associate Editors for IEEE Transactions on Automatic Control, IEEE Transactions on Control Systems Technology, IEEE Transactions on Neural Networks, Automatica, and Editor for International Journal of Control, Automation & Systems. Dr. Ge is the recipient of the 1999 National Technology Award, 2001 University Young Research Award, 2002 Temasek Young Investigator Award, Singapore, and 2004 Outstanding Overseas Young Researcher Award from National Science Foundation, China. His current research interests adaptive control, hybrid systems, sensor fusion, autonomous systems, and system development. He is a Fellow of IEEE.

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Sun, Z., Ge, S.S. On stability of switched linear systems with perturbed switching paths. J. Control Theory Appl. 4, 18–25 (2006). https://doi.org/10.1007/s11768-006-5267-0

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  • DOI: https://doi.org/10.1007/s11768-006-5267-0

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