A new asymptotic stability criterion for nonlinear time-variant differential equations
- 1 July 1998
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 43 (7) , 968-971
- https://doi.org/10.1109/9.701102
Abstract
A new sufficient condition for asymptotic stability of ordinary differential equations is proposed. Unlike classical Liapunov theory, the time derivative along solutions of the Liapunov function may have positive and negative values. The classical Liapunov approach may be regarded as an infinitesimal version of the present theorem. Verification in practical problems is harder than in the classical case; an example is included in order to indicate how the present theorem may be appliedKeywords
This publication has 2 references indexed in Scilit:
- Asymptotic stability of nonautonomous systems by Liapunov's direct methodSystems & Control Letters, 1995
- Persistent excitation in adaptive systemsInternational Journal of Control, 1987