DocumentCode
404090
Title
Dissipativity characterization of a class of oscillators and networks of oscillators
Author
Stan, Guy-Bart ; Sepulchre, Rodolphe
Author_Institution
Dept. of Electr. Eng. & Comput. Sci., Liege Univ., Belgium
Volume
4
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
4169
Abstract
This paper uses dissipativity theory to provide the system-theoretic description of a basic oscillation mechanism. Elementary input-output tools are then used to prove the existence and stability of limit cycles in these "oscillators". The main benefit of the proposed approach is that it is well suited for the analysis and design of interconnections, thus providing a valuable mathematical tool for the study of networks of coupled oscillators.
Keywords
bifurcation; input-output stability; limit cycles; oscillations; oscillators; system theory; bifurcation; coupled oscillator networks; dissipativity characterization; input-output tools; limit cycles; mathematical tool; oscillation mechanism; stability; Active inductors; Bifurcation; Capacitors; Density estimation robust algorithm; Electric resistance; Energy exchange; Energy storage; Limit-cycles; Oscillators; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1271803
Filename
1271803
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