Title of article :
A nonsmooth Lyapunov function and stability for ODE’s of Caratheodory type
Original Research Article
Author/Authors :
Marta Grzanek، نويسنده , , Anna Michalak، نويسنده , , Andrzej Rogowski، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Abstract :
The problem of Lyapunov stability for systems of ODE’s of Caratheodory type is considered. It is proved that without the necessity of calculating Dini or Clarke generalized gradients, the locally Lipschitz Lyapunov function can follow different kinds of stability.
Keywords :
Lyapunov stability , Uniform stability , Asymptotic stability , Nonsmooth Lyapunov function , Caratheodory solution , Neural network
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications
