On the notion of persistence of excitation for linear switched systems

Mihaly Petreczky; Laurent Bako

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arXiv · 1103.1349

On the notion of persistence of excitation for linear switched systems

Mihaly Petreczky·Laurent Bako

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Abstract

The paper formulates the concept of persistence of excitation for discrete-time linear switched systems, and provides sufficient conditions for an input signal to be persistently exciting. Persistence of excitation is formulated as a property of the input signal, and it is not tied to any specific identification algorithm. The results of the paper rely on realization theory and on the notion of Markov-parameters for linear switched systems.

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Mihaly Petreczky, Laurent Bako. 2011-03-07. On the notion of persistence of excitation for linear switched systems. https://arxiv.org/abs/1103.1349

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