Pontryagin's principle for local solutions of control problems with mixed control-sate constraints
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2000Derechos
© 2000 Society for Industrial and Applied Mathematics
Publicado en
SIAM Journal on Control and Optimization, 2000, 39(4), 1182–1203
Publisher
Society for Industrial and Applied Mathematics
Palabras clave
Optimal control
Nonlinear boundary controls
Semilinear parabolic equations
State constraints
Pontryagin’s minimum principle
Unbounded controls
Abstract:
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 ≤ +∞.
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