Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints

This paper deals with optimal control problems of semilinear parabolic equations with pointwise state constraints and coupled integral state-control constraints. We obtain necessary optimality conditions in the form of a Pontryagin's minimum principle for local solutions in the sense of Lp, p +. Key words. optimal control, nonlinear boundary controls, semilinear parabolic equations, state constraints, Pontryagin's minimum principle, unbounded controls AMS subject classifications. 49K20, 35K20 PII. S0363012998345627

• Type: Journal
• Year: 2000
• Where: SIAMCO
• Authors: E. Casas, J. P. Raymond, H. Zidani
• Keywords: Minimum Principle, Parabolic Equations, SIAMCO 2000, State Constraints