Necessary and Sufficient Condition on Controllability and Reachability of Fractional-Order Linear Switched System

Cheng Deng; Wei Zhu

doi:10.4028/www.scientific.net/AMM.541-542.1319

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 541-542Necessary and Sufficient Condition on...

Necessary and Sufficient Condition on Controllability and Reachability of Fractional-Order Linear Switched System

Abstract:

Fractional-order linear switched system (FLSS) is an important system of hybrid systems. In this paper, by using the analytical solution of FLSS, the necessary and sufficient condition on controllability and reachability of FLSS is given, respectively. The condition shows that if every subsystem is controllable (reachable), then the whole system is also controllable (reachable) for arbitrary switching rules. And if the whole system is controllable (reachable) for arbitrary switching rules, then every subsystem is controllable (reachable).

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Periodical:

Applied Mechanics and Materials (Volumes 541-542)

Pages:

1319-1326

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.541-542.1319

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Online since:

March 2014

Authors:

Cheng Deng, Wei Zhu

Keywords:

Controllability, Fractional-Order, Reachability, Switched System

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