Stability of nonautonomous systems by Liapunov's direct method
Tom 32 / 1995
Banach Center Publications 32 (1995), 9-17
DOI: 10.4064/-32-1-9-17
Streszczenie
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.
