N. M. Linh & V. N. Phat
Abstract:
In this paper, we give sufficient conditions for the exponential stability
of a class of nonlinear time-varying differential equations.
We use the Lyapunov method with functions that are not necessarily
differentiable; hence we extend previous results.
We also provide an application to exponential stability
for nonlinear time-varying control systems.
Submitted September 20, 2000. Published May 14, 2001.
Math Subject Classifications: 34K20, 34D10, 49M37.
Key Words: Exponential stability, time-varying equations,
Lyapunov function, Lipschitz condition, control systems.
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Nguyen Manh Linh Institute of Mathematics National Center for Sciences and Technology P.O. Box 631 Bo Ho, 10.000 Hanoi, Vietnam |
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Vu Ngoc Phat Institute of Mathematics National Center for Sciences and Technology P.O. Box 631 Bo Ho, 10.000 Hanoi, Vietnam e-mail: vnphat@hanimath.ac.vn e-mail: phvu@syscon.ee.unsw.edu.au |
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