Control Hopf Bifurcations Based on Center Manifold

Abstract:

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The stabilization problem of nonlinear systems with Hopf bifurcations is studied in this paper. The link between a feedback law and a center manifold is obtained. By choosing a feedback law that stabilizes the dynamics of a center manifold, then it can stabilize the full order system. The simulation shows the effectiveness of the method.

Info:

Periodical:

Advanced Materials Research (Volumes 204-210)

Edited by:

Helen Zhang, Gang Shen and David Jin

Pages:

99-105

DOI:

10.4028/www.scientific.net/AMR.204-210.99

Citation:

G. J. Zhu et al., "Control Hopf Bifurcations Based on Center Manifold", Advanced Materials Research, Vols. 204-210, pp. 99-105, 2011

Online since:

February 2011

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Price:

$35.00

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