Analysis and Control of Hopf Bifurcations

Analysis and Control of Hopf Bifurcations
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DOI：
10.1137/s0363012900372714
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发表时间：
2003-06
期刊：
SIAM J. Control. Optim.
影响因子：
--
通讯作者：
B. Hamzi;W. Kang;J. Barbot
B. Hamzi;W. Kang;J. Barbot
中科院分区：
其他
文献类型：
--
作者：
B. Hamzi;W. Kang;J. Barbot

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In this paper, control systems with two uncontrollable modes on the imaginary axis are studied. The main contributions include the local orientation control of periodic solutions and center manifolds, the quadratic normal form of systems with two imaginary uncontrollable modes, the stabilization of the Hopf bifurcation by state feedback, and the quadratic invariants that characterize the nonlinearity of a system and its Hopf bifurcation.