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Reachability analysis of switched linear discrete singular systems

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Abstract

This paper studies the reachability problem of the switched linear discrete singular (SLDS) systems. Under the condition that all subsystems are regular, the reachability of the SLDS systems is characterized based on a peculiar repeatedly introduced switching sequence. The necessary and sufficient conditions are obtained for the reachability of the SLDS systems.

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Authors and Affiliations

  1. LSC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Bin Meng & Jifeng Zhang

  2. Beijing Institute of Control Engineering, Beijing, 100080, China

    Bin Meng

Authors
  1. Bin Meng
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  2. Jifeng Zhang
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Additional information

This work was supported by the National Natural Science Foundation of China (No. 6022130, 60334040, 60428304).

Bin MENG received the Ph.D. degree in system theory from Academy of Mathematics and Systems Science, Chinese Academy of Sciences in 2005, and is currently a postdoctoral fellow at Beijing Institute of Control Engineering. Her interest interests include singular systems and switched systems.

Jifeng ZHANG received his B.S. degree in mathematics from Shandong University in 1985, and the Ph.D. degree from the Institute of Systems Science (ISS), Chinese Academy of Sciences (CAS) in 1991. Since 1985 he has been with the ISS, CAS, where he is now a Professor of the Academy of Mathematics and Systems Science, the vice-director of the ISS. His current research interests are system modeling and identification, adaptive control, stochastic systems, and descriptor systems. He received the Science Fund for Distinguished Young Scholars from NSFC in 1997, the First Prize of the Young Scientist Award of CAS in 1995, and now is a Vice-General Secretary of the Chinese Association of Automation (CAA), Vice-Director of the Control Theory Committee of CAA, Deputy Editor-in-Chief of the journals “Acta Automatica Sinica” and “Journal of Systems Science and Mathematical Sciences”.

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Meng, B., Zhang, J. Reachability analysis of switched linear discrete singular systems. J. Control Theory Appl. 4, 11–17 (2006). https://doi.org/10.1007/s11768-006-5266-1

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  • DOI: https://doi.org/10.1007/s11768-006-5266-1

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