A+ CATEGORY SCIENTIFIC UNIT

Stability of nonautonomous systems by Liapunov's direct method

Volume 32 / 1995

Dirk Aeyels Banach Center Publications 32 (1995), 9-17 DOI: 10.4064/-32-1-9-17

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.

Authors

  • Dirk Aeyels

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image