Pontryagin's principle for state-constrained control problems governed by parabolic equations with unbounded controls

This paper deals with optimal control problems governed by semilinear parabolic equations with pointwise state constraints and unbounded controls. Under some strong stability assumption, we obtain necessary optimality conditions in the form of a Pontryagin's minimum principle in qualified form....

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Bibliographic Details
Published in:SIAM journal on control and optimization 1998-01, Vol.36 (6), p.1853-1879
Main Authors: RAYMOND, J. P, ZIDANI, H
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Hypotheses
Lagrange multiplier
Mathematics
Optimal control
Optimization and Control
Principles
Theorems
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Summary:This paper deals with optimal control problems governed by semilinear parabolic equations with pointwise state constraints and unbounded controls. Under some strong stability assumption, we obtain necessary optimality conditions in the form of a Pontryagin's minimum principle in qualified form. A Pontryagin's principle in nonqualified form is also proved without any stability condition.
ISSN:0363-0129
1095-7138
DOI:10.1137/S0363012996302470