On the notion of persistence of excitation for linear switched systems

Details On the notion of persistence of excitation for linear switched systems On the notion of persistence of excitation for linear switched systems

2011-03-07

arxiv.org/abs/1103.1349v1

Mathematics

Optimization and Control

Scientific paper

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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