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 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.
Lyapunov function Normal Form Bifurcation Moore-Greitzer
Wanjing Dong Yong Wang
Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
677-682
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）