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arXiv · 2002.02087

Data-based computation of stabilizing minimum dwell times for discrete-time switched linear systems

Atreyee Kundu
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Abstract

We present an algorithm to compute stabilizing minimum dwell times for discrete-time switched linear systems without the explicit knowledge of state-space models of their subsystems. Given a set of finite traces of state trajectories of the subsystems that satisfies certain properties, our algorithm involves the following tasks: first, multiple Lyapunov functions are designed from the given data; second, a set of relevant scalars is computed from these functions; and third, a stabilizing minimum dwell time is determined as a function of these scalars. A numerical example is presented to demonstrate the proposed algorithm.

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Atreyee Kundu. 2020-02-06. Data-based computation of stabilizing minimum dwell times for discrete-time switched linear systems. https://arxiv.org/abs/2002.02087

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