Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations 论文

详细信息

发表期刊/会议

SIAM Journal on Control and Optimization

发表日期

1997-07-01

发表年份

1997

摘要

This paper deals with state-constrained optimal control problems governed by semilinear parabolic equations. We establish a minimum principle of Pontryagin's type. To deal with the state constraints, we introduce a penalty problem by using Ekeland's principle. The key tool for the proof is the use of a special kind of spike perturbations distributed in the domain where the controls are defined. Conditions for normality of optimality conditions are given.