Title :
Stability conditions for a class of nonlinear dynamical systems
Author :
Aleksandrov, Alexander Yu ; Platonov, Alexey V.
Author_Institution :
Dept. of Appl. Math., St. Petersburg Univ., Russia
Abstract :
The problem of absolute stability for a certain class of nonlinear systems is investigated by means of the Lyapunov direct method. The necessary and sufficient conditions for existence of Lyapunov´s functions of the special form for the systems considered are studied. The results obtained are used for the stability analysis of complex systems in critical cases. An example of the system composed from two interconnected nonlinear oscillators is considered.
Keywords :
Lyapunov methods; absolute stability; functions; nonlinear dynamical systems; oscillators; Lyapunov direct method; absolute stability analysis; complex system; interconnected nonlinear oscillator; nonlinear dynamical system; Automatic control; Differential equations; Linear matrix inequalities; Lyapunov method; Mathematics; Nonlinear dynamical systems; Nonlinear systems; Oscillators; Stability analysis; Sufficient conditions;
Conference_Titel :
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN :
0-7803-9235-3
DOI :
10.1109/PHYCON.2005.1514064
