Data-based computation of stabilizing minimum dwell times for discrete-time switched linear systems
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We present an algorithm to compute stabilizing minimum dwell times for discrete-time switched linear systems without the knowledge of mathematical models of their subsystems. Given a simulation model from which finite traces of state trajectories of the subsystems can be collected, our algorithm involves the following tasks: first, a set of data that satisfies certain properties is collected by performing simulation experiments, second, multiple Lyapunov functions are designed from the above data and 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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