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Robust exponential stability of uncertain discrete time impulsive switching systems with state delay

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Abstract

A new class of hybrid impulsive and switching models are introduced and their robust exponential stability and control synthesis are addressed. The proposed switched system is composed of stable subsystems and unstable subsystems, which not only involves state delay and norm-bounded time-varying parameter uncertainties, but also contains the impulsive switching effects between the subsystems. Based on the extension of the system dimension and the concept of average dwell time, a kind of practically useful switching rule is presented which guarantees the desired robust exponential stability. A switched state feedback controller is also given.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, 210094, China

    Guangdeng Zong & Baoyong Zhang

  2. Institute of Automation, Qufu Normal University, Qufu, Shandong, 273165, China

    Guangdeng Zong, Yuqiang Wu & Yangyang Kong

Authors
  1. Guangdeng Zong
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  2. Yuqiang Wu
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  3. Baoyong Zhang
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  4. Yangyang Kong
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Corresponding author

Correspondence to Guangdeng Zong.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 60674027), China Postdoctoral Science Foundation (No. 200704 10336), and the Postdoctor Foundation of Jiangsu Province (No. 0602042B).

Guangdeng ZONG was born in Shandong, China, in 1976. He received the Ph.D. degree in control theory and application from Southeast University in 2005. He is currently an associate professor in the Institute of Automation at Qufu Normal University, Qufu, China. He began his postdoctoral research work at Nanjing University of Science and Technology in August 2006. His research interests are in switching control, robust control and time-delay systems.

Yuqiang WU received the Ph.D. degree in control theory and application from Southeast University in 1994. He is now a professor in the Institute of Automation at Qufu Normal University, Qufu, China. His current research interests include variable structure control, finite time convergence, nonlinear systems control, robust control and switching control.

Baoyong ZHANG received the B.Sc. degree in Mathematics in 2003 and the M.S. degree in Control Theory in 2006, both from Qufu Normal University, Qufu, China. He is now a Ph.D. candidate at the School of Automation, Nanjing University of Science and Technology, Nanjing, China. His current research interests include robust control and filtering, time-delay systems, stochastic systems, fuzzy systems and neural networks.

Yangyang KONG received the B.S. degree in Mathematics in 2003 from Qufu Normal University, Qufu, China. He is now applying his M.S. degree. His current research interests include robust control and switching control.

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Zong, G., Wu, Y., Zhang, B. et al. Robust exponential stability of uncertain discrete time impulsive switching systems with state delay. J. Control Theory Appl. 5, 351–356 (2007). https://doi.org/10.1007/s11768-006-6051-x

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  • DOI: https://doi.org/10.1007/s11768-006-6051-x

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