ACTA issues

Observability, controllability and boundary stabilization of some linear elasticity systems

Aissa Guesmia

Acta Sci. Math. (Szeged) 64:1-2(1998), 109-119

Abstract. In this paper, we study the observability, the controllability and the boundary stabilizability of the linear elasticity systems. This work extends to non-isotropic systems with variable coefficients, the observability and exact controllability results for isotropic elastodynamic systems obtained by J.-L. Lions in 1988, the uniform stabilizability results for two-dimensional isotropic systems obtained by J. E. Lagnese in 1991 and the results obtained by Alabau and Komornik [1].

AMS Subject Classification (1991): 35L55, 35Q72, 93B05, 93B07, 93C20, 93D15

Keyword(s): Observability, controllability, stabilization by feedback, partial differential equation, elasticity

Received March 24, 1997 and in revised form September 25, 1997. (Registered under 2650/2009.)