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 | |
【 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.
【 授权许可】
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