Kybernetika 30 no. 6, 715-723, 1994

On the convergence of a time-variant linear differential equation arising in identification

Dirk Aeyels and R. Sepulchre

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.

Classification:

93C99, 93D20, 93D05, 93B30, 34H05, 34D99