Title :
On the constructing of Lyapunov functions for nonlinear nonautonomous equations
Author :
Aleksandrov, Aleksander Yu ; Prasolov, Serg A.
Author_Institution :
Dept. of Applied Math., St. Petersburg State Univ., Russia
Abstract :
The second order differential equation with nonstationary perturbations is investigated. Using the Lyapunov-function method, the sufficient conditions of the asymptotic stability and instability of the zero solution of the perturbed equation are obtained
Keywords :
Lyapunov methods; asymptotic stability; differential equations; nonlinear dynamical systems; nonlinear equations; stability criteria; Lyapunov functions; asymptotic stability; instability; nonlinear nonautonomous equations; nonstationary perturbations; perturbed equation; second order differential equation; zero solution; Asymptotic stability; Differential equations; Lyapunov method; Mathematics; Nonlinear equations; Sufficient conditions;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.633530
