Exact controllability for Bresse system with variable coefficients

摘要

This paper is concerned with the internal exact controllability of a generalized Bresse system with variable coefficients, which the controls functions acts in an arbitrarily small subinterval. (l(1),l(2))of (0, L). Our computation suggests a minimal time control and a region where the controls are more effective. The variable coefficients can be viewed as a generalization of Laplacian operator. The main result is obtained by applying Hilbert Uniqueness Method proposed by Lions, without using the Holmgren's uniqueness theoremor the hypothesis of equal-speed waves of propagation. Copyright (C) 2015 John Wiley & Sons, Ltd.