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		Li ZENG,Yi ZHAO.[en_title][J].Control Theory and Technology,2006,4(3):217~222.[Copy]

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LiZENG,YiZHAO
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Received:December 08, 2005Revised:April 05, 2006

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Characterization of static bifurcations for n-dimensional flows in the frequency domain

Li ZENG, Yi ZHAO

(Department of Mathematics, Sun Yat-Sen University, Guangzhou Guangdong 510275, China; School of Informatics, Guangdong University of Foreign Studies, Guangzhou Guangdong 510006, China; Department of Mathematics, Sun Yat-Sen University, Guangzhou Guangdong 510275, China)

Abstract:

In this paper n-dimensional flows (described by continuous-time system) with static bifurcations are considered with the aim of classification of different elementary bifurcations using the frequency domain formalism. Based on frequency domain approach, we prove some criterions for the saddle-node bifurcation, transcritical bifurcation and pitchfork bifurcation, and give an example to illustrate the efficiency of the result obtained.

Key words: Descriptor systems Singular linear quadratic cost Disturbance rejection State feedback