Abstract
The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains three parts. This is the second part. The definition and determination of controllability of switched linear systems with single time-delay in control functions is mainly investigated. The sufficient and necessary conditions for the oneperiodic, multiple-periodic controllability of periodic-type systems and controllability of periodic systems are presented, respectively.
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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 (II)—Single time-delay case. Appl Math Mech 24, 1051–1062 (2003). https://doi.org/10.1007/BF02437637
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DOI: https://doi.org/10.1007/BF02437637
Key words
- hybrid dynamic system
- switched linear system
- time-delay
- controllability
- controllable set
- switching sequence
- switching path