Construction of Lyapunov function near bifurcations with application to rotating stall

We explicitly construct Lyapunov functions for nonlinear systems near two types of bifurcations, namely the equilibrium bifurcations and the Hopf bifurcations. The construction relies on linear and nonlinear coordinate transformation of local center manifold and normal form. The Lyapunov functions a...

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Bibliographic Details
Published inProceedings of the 31st Chinese Control Conference pp. 677 - 682
Main Authors Wanjing Dong, Yong Wang
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2012
Subjects
Bifurcation
Lyapunov function
Lyapunov methods
Manifolds
Mathematical model
Moore-Greitzer
Nonlinear systems
Normal Form
Stability analysis
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Summary:We explicitly construct Lyapunov functions for nonlinear systems near two types of bifurcations, namely the equilibrium bifurcations and the Hopf bifurcations. The construction relies on linear and nonlinear coordinate transformation of local center manifold and normal form. The Lyapunov functions are expected to be useful for stability and performance analysis on the effects of noises for nonlinear systems near bifurcations. We demonstrate our construction of Lyapunov functions for the Moore-Greitzer model for the rotating stall inception for axial compression systems.
ISBN:1467325813
9781467325813
ISSN:1934-1768