Phantom tracking method, homogeneity and rapid stabilization

Jean-Michel Coron

doi:10.3934/mcrf.2013.3.303

Article Contents

2013, Volume 3, Issue 3: 303-322. Doi: 10.3934/mcrf.2013.3.303

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Phantom tracking method, homogeneity and rapid stabilization

Jean-Michel Coron^1,

1.
Institut universitaire de France and Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 4, place Jussieu, 75005 Paris

Received: December 31, 2012

Revised: March 31, 2013

Published: August 2013

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Abstract

In this paper we explain on various examples the ``phantom tracking'' method, a method which can be used to stabilize nonlinear control systems modeled by ordinary differential equations or partial differential equations. We show how it can handle global controllability, homogeneity issues or fast stabilization.

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Mathematics Subject Classification: Primary: 93D15, 93D30; Secondary: 93C10.

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References

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