Stability of nonautonomous systems by Liapunov's direct method
Aeyels, Dirk
Banach Center Publications, Tome 31 (1995), p. 9-17 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:262653 
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     author = {Aeyels, Dirk},
     title = {Stability of nonautonomous systems by Liapunov's direct method},
     journal = {Banach Center Publications},
     volume = {31},
     year = {1995},
     pages = {9-17},
     zbl = {0838.34062},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv32z1p9bwm}
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Aeyels, Dirk. Stability of nonautonomous systems by Liapunov's direct method. Banach Center Publications, Tome 31 (1995) pp. 9-17. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv32z1p9bwm/

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