Control of Hopf bifurcations of nonlinear infinite-dimensional systems: application to axial flow engine compressor

Autor:	Jianhong Xu, Jie-Chang Wen, Mingqing Xiao
Rok vydání:	2012
Předmět:	Hopf bifurcation Applied Mathematics Mathematical analysis Stability (probability) Nonlinear system symbols.namesake Axial compressor Simple (abstract algebra) symbols Vector field Gas compressor Analysis Eigenvalues and eigenvectors Mathematics
Zdroj:	Applicable Analysis. 91:1959-1980
ISSN:	1563-504X 0003-6811
Popis:	We study the local feedback stabilization of Hopf bifurcations for nonlinear systems of infinite dimensions in the case where the linearized vector field has a pair of simple nonzero imaginary eigenvalues and all its other eigenvalues lie strictly in the left half-plane. Discussing the normal form of nonlinear systems obtained by making use of the integral averaging method, we obtain sufficient and necessary condition for controlling the stability of the systems even if the critical modes are uncontrollable. As an application, we apply the obtained results to the control of axial flow engine compressor.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e57deddfa3183cd0bc0e220b3039f24f https://doi.org/10.1080/00036811.2011.577742 Zobrazit plný text záznamu