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

• AUTHORS: D. Aeyels, R. Sepulchre, and J. Peuteman.
• ABSTRACT: This paper presents some new criteria for uniform and non uniform asymptotic stability of time-variant differential equations and this within a Lyapunov approach. The stability criteria are formulated in terms of certain observability conditions with the outputs derived from the Lyapunov function. For some classes of systems, this system theoretic interpretation proves to be frutiful 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.
• KEYWORDS: control systems, differential equations, time-variance, observability, asymptotic stability
• STATUS: Published in Mathematics of Control, Signals, and Systems, no. 11, pp. 1-27, 1998..

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  • Paper: PS file.