A nonsmooth Lyapunov function and stability for ODE's of Caratheodory type

作者：Grzanek Marta; Michalak Anna; Rogowski Andrzej^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2008, 69(1): 337-342.

DOI：10.1016/j.na.2007.05.022

• Lyapunov stability
• uniform stability
• asymptotic stability
• nonsmooth Lyapunov function
• Caratheodory solution
• neural network

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.

• 出版日期2008-7-1