On the Convergence of a Time-variant Linear-differential Equation Arising in Identification

Aeyels, D.;Sepulchre, Rodolphe
(1994) IEEE Mediterranean Symposium on New Directions in Control Theory and Applications — Location: KHANIA(Greece) (21.June.1993)

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  • Aeyels, D.
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  • Sepulchre, RodolpheUCLouvain
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Abstract
This paper discusses the asymptotic stability for a well-known time-variant system by means of the direct method of Liapunov. The system exhibits a positive time-invariant Liapunov function with negative semi-definite derivative. The paper focuses on the extra conditions needed in order to guarantee asymptotic stability. The proposed criterion is compared with the results available in the literature.
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Aeyels, D., & Sepulchre, R. (1994). On the Convergence of a Time-variant Linear-differential Equation Arising in Identification. Kybernetika, 30(6), 715-723. https://hdl.handle.net/2078.5/91484 (Original work published 1994)