Free access article

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


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