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Article Dans Une Revue Nonlinear Analysis: Hybrid Systems Année : 2023

On the notion of persistence of excitation for linear switched systems

Résumé

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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Dates et versions

hal-03945535 , version 1 (18-01-2023)

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Mihály Petreczky, Laurent Bako. On the notion of persistence of excitation for linear switched systems. Nonlinear Analysis: Hybrid Systems, 2023, 48, pp.101308. ⟨10.1016/j.nahs.2022.101308⟩. ⟨hal-03945535⟩
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