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Controllability of a class of hybrid dynamic systems (III)—Multiple time-delay case

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Abstract

The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains three parts. This is the third part. The definition and determination of controllability of switched linear systems with multiple time-delay in control functions is mainly investigated. The sufficient and necessary conditions for the one-periodic, multiple-periodic controllability of periodic-type systems and controllability of aperiodic systems are presented, respectively. Finally, the case of distinct delays is discussed, it is shown that the controllability is independent of the size of delays.

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Authors and Affiliations

  1. Department of Mechanics and Engineering Science, Peking University, 100871, Beijing, P.R. China

    Xie Guang-ming, Wang Long & Ye Qing-kai

Authors
  1. Xie Guang-ming
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  2. Wang Long
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  3. Ye Qing-kai
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Additional information

Contributed by YE Qing-kai

Foundation items: the National Natural Science Foundation of China (69925307, 60274001); the National Key Basic Research and Development Program (2002CB312200); the Postdoctoral Program Foundation of China

Biography: XIE Guang-ming (1972≈), Doctor (E-mail:xiegming@mech.pku.edu.cn)

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Guang-ming, X., Long, W. & Qing-kai, Y. Controllability of a class of hybrid dynamic systems (III)—Multiple time-delay case. Appl Math Mech 24, 1063–1074 (2003). https://doi.org/10.1007/BF02437638

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  • DOI: https://doi.org/10.1007/BF02437638

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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