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Feedback Stabilization of SteadyState and Hopf Bifurcations: the Multiinput Case 
Abstract 
Classification of stabilizability is obtai … Classification of stabilizability is obtained for multiinput nonlinear systems
possessing a simple steadystate 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  wm99cdc + 
Title  Feedback Stabilization of SteadyState and Hopf Bifurcations: the Multiinput Case + 
Type  Conference Paper + 
Categories  Papers 
Modification date This property is a special property in this wiki.

15 May 2016 06:19:34 + 
URL This property is a special property in this wiki.

http://www.cds.caltech.edu/~murray/preprints/wm99cdc.pdf + 
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Feedback Stabilization of SteadyState and Hopf Bifurcations: the Multiinput Case +  Title 
