Title: Local exact controllability for Berger plate equation.
Authors: Cîndea, Nicolae; Tucsnak, Marius
Abstract: We study the exact controllability of a nonlinear plate equation by the means of a control which acts on an internal region of the plate. The main result asserts that this system is locally exactly controllable if the associated linear Euler–Bernoulli system is exactly controllable. In particular, for rectangular domains, we obtain that the Berger system is locally exactly controllable in arbitrarily small time and for every open and nonempty control region.
Subjects: EQUATIONS; BERNOULLI hypothesis (Risk); EULER method; NUMERICAL analysis; MATHEMATICS
Publication: Mathematics of Control, Signals & Systems, 2009, Vol 21, Issue 2, p93
ISSN: 0932-4194
Publication type: Academic Journal
DOI: 10.1007/s00498-009-0042-7

Local exact controllability for Berger plate equation.

Cîndea, Nicolae; Tucsnak, Marius