S. Kerbal et Nu. Ahmed, OPTIMAL BOUNDARY CONTROL OF DISTRIBUTED SYSTEMS INVOLVING DYNAMIC BOUNDARY-CONDITIONS, Mathematical problems in engineering, 3(5), 1998, pp. 387-411
In this paper we consider Lagrange type control problem for systems in
volving dynamic boundary conditions that is, with boundary operators c
ontaining time derivatives. Assuming the existence of optimal controls
, B-evolutions theory is used to present necessary conditions of optim
ality. The result is illustrated by an example from heat transfer prob
lem and also an algorithm for computing optimal controls is presented.