Result: Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints: Sufficient second-order optimality conditions for a parabolic optimal control problem with pointwise control-state constraints

Title:
Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints: Sufficient second-order optimality conditions for a parabolic optimal control problem with pointwise control-state constraints
Authors:
Fredi Tröltzsch, Arnd Rösch
Source:
SIAM Journal on Control and Optimization. 42:138-154
Publisher Information:
Society for Industrial & Applied Mathematics (SIAM), 2003.
Publication Year:
2003
Subject Terms:
sufficient second-order optimality condition, pointwise mixed control-state constraints, optimal control, heat equation, Nonlinear parabolic equations, Optimality conditions for problems involving partial differential equations, Optimality conditions and duality in mathematical programming, 0101 mathematics, parabolic differential equation, 01 natural sciences, bottleneck constraints
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
1095-7138
0363-0129
DOI:
10.1137/s0363012902403262
Access URL:
https://dblp.uni-trier.de/db/journals/siamco/siamco42.html#RoschT03
https://epubs.siam.org/doi/10.1137/S0363012902403262
https://locus.siam.org/doi/abs/10.1137/S0363012902403262
Accession Number:
edsair.doi.dedup.....b3f456880c42f2b15d1e01a71c24a03a
Database:
OpenAIRE

Further Information

Summary: An optimal control problem for a semilinear parabolic equation is investigated, where pointwise constraints are given on the control and the state. The state constraints are of mixed (bottleneck) type, where associated Lagrange multipliers can be assumed to be bounded and measurable functions. Based on this property, a second-order sufficient optimality condition is established that considers strongly active constraints.