×

On the construction of Lyapunov’s function. (Chinese) Zbl 0571.34043

The construction of Lyapunov’s function is studied by giving some examples for linear systems, second order nonlinear systems, and slow varied linear systems. An application to the estimating of the attracting basin and to the location of limit cycles is also given.
Reviewer: F.Ling

MSC:

34D20 Stability of solutions to ordinary differential equations
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory