Dwell-time control sets and applications to the stability analysis of linear switched systems

Abstract : 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.
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Submitted on : Friday, February 8, 2019 - 6:36:11 PM
Last modification on : Wednesday, May 15, 2019 - 3:39:45 AM
Long-term archiving on : Thursday, May 9, 2019 - 4:32:07 PM

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  • HAL Id : hal-02012606, version 1
  • ARXIV : 1902.03757

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Francesco Boarotto, Mario Sigalotti. Dwell-time control sets and applications to the stability analysis of linear switched systems. 2019. ⟨hal-02012606⟩

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