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Feedback Stabilization of Steady-State and Hopf Bifurcations: the Multi-input Case
Abstract Classification of stabilizability is obtai …
Classification of stabilizability is obtained for multi-input nonlinear systems possessing a simple steady-state or Hopf bifurcation with the critical mode being linearly uncontrollable. Stabilizability is defined as the existence of a sufficiently smooth state feedback such that the bifurcation for the closed loop system is supercritical, and in the meantime, the linearly controllable modes are locally asymptotically stable. Necessary and sufficient conditions of stabilizability are derived under certain nondegeneracy conditions. Explicit construction of stabilizing feedbacks is obtained for the cases when the system is stabilizable.
the cases when the system is stabilizable.  +
Authors Yong Wang and Richard M. Murray  +
ID 1999c  +
Source 1999 Conference on Decision and Control  +
Tag wm99-cdc  +
Title Feedback Stabilization of Steady-State and Hopf Bifurcations: the Multi-input Case +
Type Conference Paper  +
Categories Papers
Modification date
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15 May 2016 06:19:34  +
URL
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http://www.cds.caltech.edu/~murray/preprints/wm99-cdc.pdf  +
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Feedback Stabilization of Steady-State and Hopf Bifurcations: the Multi-input Case + Title
 

 

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