CUED Publications database

A Geometric Characterization of the Persistence of Excitation Condition for the Solutions of Autonomous Systems

Padoan, A and Scarciotti, G and Astolfi, A (2017) A Geometric Characterization of the Persistence of Excitation Condition for the Solutions of Autonomous Systems. IEEE Transactions on Automatic Control, 62. pp. 5666-5677. ISSN 0018-9286

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Abstract

© 2012 IEEE. The persistence of excitation of signals generated by time-invariant, autonomous, linear, and nonlinear systems is studied using a geometric approach. A rank condition is shown to be equivalent, under certain assumptions, to the persistence of excitation of the solutions of the class of systems considered, both in the discrete-time and in the continuous-time settings. The rank condition is geometric in nature and can be checked a priori, i.e. without knowing explicitly the solutions of the system, for almost periodic systems. The significance of the ideas and tools presented is illustrated by means of simple examples. Applications to model reduction from input-output data and stability analysis of skew-symmetric systems are also discussed.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 30 Jan 2019 23:19
Last Modified: 26 Nov 2019 03:03
DOI: 10.1109/TAC.2017.2687760