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arxiv: 1103.1349 · v1 · pith:4XRRYLMWnew · submitted 2011-03-07 · 🧮 math.OC · cs.SY· eess.SY

On the notion of persistence of excitation for linear switched systems

classification 🧮 math.OC cs.SYeess.SY
keywords excitationlinearpersistenceswitchedsystemsinputnotionsignal
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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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