DocumentCode
2108180
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
fYear
2005
fDate
24-26 Aug. 2005
Firstpage
652
Lastpage
655
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN
0-7803-9235-3
Type
conf
DOI
10.1109/PHYCON.2005.1514064
Filename
1514064
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