Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 34, pp. 1-13.

Title: Exponential stability of nonlinear time-varying differential 
       equations and applications
        
Authors: N. M. Linh (National Center for Sciences and Tech., Hanoi, Vietnam)
 V. N. Phat (National Center for Sciences and Tech., Hanoi, Vietnam)
         
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.