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IMA Journal of Mathematical Control and Information 2003 20(4):447-450; doi:10.1093/imamci/20.4.447
© 2003 by Institute of Mathematics and its Applications
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On the possibility of globally stabilizing invariant sets

Xiao-Song Yang1

1 Centre for Systems and Control and Department of Automation, Xiamen University, Xiamen, Fujian 361005, China

In this paper we study the possibility of globally stabilizing invariant sets of autonomous continuous nonlinear systems by the state (output) feedback control law. We show that the topological structure of invariant sets can give rise to obstruction to the existence of a continuous control law for global stabilization of invariant sets.

Keywords: nonlinear dynamical systems; global stabilization; invariant sets.


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