A boundary Pontryagin’s principle for the optimal control of state-constrained elliptic systems
Frédéric Bonnans, Eduardo Casas · Birkhäuser Basel eBooks · 1992
Pontryagin’s principle, originally devised for the optimal control of ordinary differential equation, has recently been extended to the optimal control of semilinear elliptic systems and variational inequalities in the case of a distributed control. In this paper we show that if the control is also active at the boundary of the domain, then a boundary Hamiltonian satisfying a boundary maximum Pontryagin’s principle appears in a natural way. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.