CUED Publications database

Asymptotic stability for time-variant systems and observability: Uniform and nonuniform criteria

Aeyels, D and Sepulchre, R and Peuteman, J (1997) Asymptotic stability for time-variant systems and observability: Uniform and nonuniform criteria. Mathematics of Control, Signals, and Systems, 11. pp. 1-27. ISSN 0932-4194

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Abstract

This paper presents some new criteria for uniform and nonuniform asymptotic stability of equilibria for time-variant differential equations and this within a Lyapunov approach. The stability criteria are formulated in terms of certain observability conditions with the output derived from the Lyapunov function. For some classes of systems, this system theoretic interpretation proves to be fruitful since - after establishing the invariance of observability under output injection - this enables us to check the stability criteria on a simpler system. This procedure is illustrated for some classical examples.

Item Type: Article
Uncontrolled Keywords: Asymptotic stability Circle criterion Control systems Differential equations Observability Time-variance
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:28
Last Modified: 08 Dec 2014 02:26
DOI: