EDP Sciences Journals List
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Issue ESAIM: PROC
Volume 22, 2008
CANUM 2006 - Congrès National d'Analyse Numérique
Page(s) 21 - 39
DOI 10.1051/proc:072203
Published online 01 February 2008

ESAIM: Proc., 2008, Vol. 22, pp. 21-39
DOI: 10.1051/proc:072203

Controllability and nonlinearity

Jean-Michel Coron

Université de Paris-Sud and Institut universitaire de France, Département de Mathématique, 91405 Orsay, France, Jean-Michel.Coron@math.u-psud.fr


(Published online: 1 February 2008)

Abstract
We present here three methods (return method, quasi-static deformations, power series expansions) to get controllability results for control systems modeled by partial differential equations when the linearized control system around the equilibrium is not controllable.


Mathematics Subject Classification. 93B05, 93C10, 35L50, 35L60, 35Q30, 35Q53, 35Q55

Key words: Controllability, Feedback, Stabilization, Partial differential equation, Nonlinear control systems


© EDP Sciences, ESAIM 2007


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