Geodesic
Exponential stability of nonlinear time-varying differential equations and applications
Electronic journal of differential equations, Tome 2001 (2001)
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.
Classification : 34K20, 34D10, 49M37
Keywords: exponential stability, time-varying equations, Lyapunov function, Lipschitz condition, control systems 
@article{EJDE_2001__2001__a47,
     author = {Nguyen Manh Linh and Vu Ngoc Phat},
     title = {Exponential stability of nonlinear time-varying differential equations and applications},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0974.34054},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a47/}
}
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Nguyen Manh Linh; Vu Ngoc Phat. Exponential stability of nonlinear time-varying differential equations and applications. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a47/