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ArticleOriginal scientific text

Title

Stability of nonautonomous systems by Liapunov's direct method

Authors 1

Affiliations

  1. Department of Systems Dynamics, University of Gent, Technologiepark-Zwijnaarde, 9, 9052 Gent (Zwijnaarde), Belgium,

Abstract

This paper discusses asymptotic stability for nonautonomous systems by means of the direct method of Liapunov. The existence of a positive time-invariant Liapunov function with negative semi-definite derivative is assumed. The paper focuses on the extra conditions needed in order to guarantee asymptotic stability. The proposed criterion is compared with the standard results available for autonomous systems. A specialization and extension is obtained for a class of linear nonautonomous systems.

Bibliography

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Banach Center Publications
1995/32/1
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Pages:
9-17
Main language of publication
English
Published
1995
Exact and natural sciences