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arXiv · 2005.10493

On stabilizability of switched linear systems under restricted switching

Atreyee Kundu
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Abstract

This paper deals with stability of discrete-time switched linear systems whose all subsystems are unstable and the set of admissible switching signals obeys pre-specified restrictions on switches between the subsystems and dwell times on the subsystems. We derive sufficient conditions on the subsystems matrices such that a switched system is globally exponentially stable under a set of purely time-dependent switching signals that obeys the given restrictions. The main apparatuses for our analysis are (matrix) commutation relations between certain products of the subsystems matrices and graph-theoretic arguments.

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Atreyee Kundu. 2020-05-21. On stabilizability of switched linear systems under restricted switching. https://arxiv.org/abs/2005.10493

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