期刊论文详细信息
JOURNAL OF DIFFERENTIAL EQUATIONS 卷:268
Dwell-time control sets and applications to the stability analysis of linear switched systems
Article
Boarotto, Francesco1  Sigalotti, Mario2,3 
[1] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Padua, Italy
[2] Univ Paris Diderot SPC, Sorbonne Univ, Inria Paris, CNRS,INRIA, F-75005 Paris, France
[3] Univ Paris Diderot SPC, Sorbonne Univ, Lab Jacques Louis Lions, CNRS,INRIA, F-75005 Paris, France
关键词: Linear switched systems;    Control sets;    Lyapunov exponents;    Invariant measures;   
DOI  :  10.1016/j.jde.2019.08.049
来源: Elsevier
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【 摘 要 】

We propose an extension of the theory of control sets to the case of inputs satisfying a dwell-time constraint. Although the class of such inputs is not closed under concatenation, we propose a suitably modified definition of control sets that allows to recover some important properties known in the concatenable case. In particular we apply the control set construction to dwell-time linear switched systems, characterizing their maximal Lyapunov exponent looking only at trajectories whose angular component is periodic. We also use such a construction to characterize supports of invariant measures for random switched systems with dwell-time constraints. (C) 2019 Elsevier Inc. All rights reserved.

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