Optimal control for quasi-static problem with elastic boundary conditions

Abstract

We consider the quasi-static problem of viscoelastic body occupying a bOlUlded region n E R3 and subject to an elastic force on the boundary, with these restrictions are imposed on the form ofthe surface and on the bOlUldary conditions, the solution of the problem obtained with the help of appropriate integral equations. We consider the bOlUldary control of the viscoelastic body, and we flnd the necessary and sufficient conditions of optimal control for quasi-static problem.

Boundary Control for 2 × 2 Elliptic Systems with Conjugation Conditions

“…Systems governed by elliptic, parabolic, and hyperbolic operators have been considered, some of which are of distributed type as in [4][5][6][7][8][9][10][11][12], while some others are of boundary type as in [13][14][15][16][17].…”

Boundary Control for Cooperative Elliptic Systems under Conjugation Conditions

“…Some existence results have been established for nonlinear systems in [10] [11] [12] [13] [14]. Some applications for control problems were introduced for example in [2] [15].…”

Maximum principle and existence of solutions for non-necessarily cooperative systems involving Schrödinger operators

“…The system with equal potentials defined on R N has been considered in [3,4]. Some applications concerning the optimal control of systems like (S) have been introduced in [15][16][17][18][19][20][21].…”