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Remarks on persistency of excitation for nonminimal models of systems having purely deterministic disturbances

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1 Author(s)
Janecki, D. ; Politechnika Warszawska, Warszawa, Poland

A persistency of excitation result for nonminimal models of systems having purely deterministic disturbances has been given recently in [1]. In this note we give a direct and simple proof for the case of bounded signals of the result of [1] and show, via a counterexample, that an assumption on system signals boundedness which does not appear in [1] is necessary when arbitrary unbounded signals are allowable. Finally, we give a proper persistency of excitation result which does not require signal boundedness for the case when the system input consists of a bounded external signal and of a constant coefficient feedback component.

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Automatic Control, IEEE Transactions on  (Volume:32 ,  Issue: 12 )