DocumentCode
1876338
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
Volume
1
fYear
1997
fDate
27-29 Aug 1997
Firstpage
168
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location
St. Petersburg
Print_ISBN
0-7803-4247-X
Type
conf
DOI
10.1109/COC.1997.633530
Filename
633530
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