International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 1, Pages 57-62
doi:10.1155/S0161171201007128

Boundary control problem with an infinite number of variables

Abstract

Using a previous result by Gali and El-Saify (1983) and the theory of Kotarski (1989), and Lions (1971), we formulate the boundary control problem for a system governed by Neumann problem involving selfadjoint elliptic operator of 2ℓth order with an infinite number of variables. The inequalities which characterize the optimal control in terms of the adjoint system are obtained, it is studied in order to construct algorithms attainable to numerical computations for the approximation of the control.