Sufficient second-order optimality conditions for semilinear control problems with pointwise state constraints

Abstract:

Second-order sufficient optimality conditions are established for the optimal control of semίlinear elliptic and parabolic equations with pointwise constraints on the control and the state. In contrast to former publications on this subject, the cone of critical directions is the smallest possible in the sense that the second-order sufficient conditions are the closest to the associated necessary ones. The theory is developed for elliptic distributed controls in domains up to dimension three. Moreover, problems of elliptic boundary control and parabolic distributed control are discussed in spatial domains of dimension two and one, respectively. © 2008 Society for Industrial and Applied Mathematics.

Año de publicación:

2008

Keywords:

• Elliptic equations
• Pointwise state constraints
• Optimal Control
• Parabolic equations
• Second-order sufficient optimality conditions
• Second-order necessary optimality conditions

Fuente:

google

scopus