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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Question of global asymptotic stability in state-varying nonlinear systems


Authors: Mau-Hsiang Shih and Jinn Wen Wu
Journal: Proc. Amer. Math. Soc. 122 (1994), 801-804
MSC: Primary 39A11; Secondary 39B12, 58F10
MathSciNet review: 1204384
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Abstract: A problem raised by LaSalle (i.e., a discrete counterpart of the Jacobian problem in differential equations) concerning the global asymptotic stability in state-varying nonlinear systems is settled. A global asymptotic stability criterion for state-varying systems based on vector energy functions is introduced.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1204384-3
PII: S 0002-9939(1994)1204384-3
Keywords: Global asymptotic stability, LaSalle's problem, state-varying system, spectral radius
Article copyright: © Copyright 1994 American Mathematical Society