Anti-control of hopf bifurcations

Dong S. Chen; Hua O. Wang; Guanrong Chen

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Anti-control of hopf bifurcations

机译：霍普夫分岔的反控制

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摘要

Bifurcation control generally means to design a controller that is capable of modifying the bifurcation characteristics of a bifurcating nonlinear system, thereby achieving some desirable dynamical behaviors. A typical objective is to delay and/or stabilize an existing bifurcation. In this paper, we consider the problem of anti-controlling bifurcations, that is, a certain bifurcation is created at a desired location with preferred properties by appropriate control. Washout-filter-aided dynamic feedback control laws are developed for the creation of Hopf bifurcations. As Hopf bifurcations give rise to limit cycles, anti-control of Hopf bifurcations suggests a new approach for designing limit cycles with specified oscillatory behaviors into a system via feedback control when such dynamical behaviors are desirable.

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来源
《IEEE Transactions on Automatic Control》 |2001年第6期|661-672|共12页
作者
Dong S. Chen; Hua O. Wang; Guanrong Chen;
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alliativecare.org;

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正文语种英语
中图分类自动化系统;
关键词
Anti-controlling bifurcations; Bifurcation control; Hopf bifurcations;

机译：反控制分岔;分岔控制;Hopf 分岔;

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Anti-control of hopf bifurcations

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