Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations

DOI10.1137/21M1464816zbMath1495.35103arXiv2112.06535OpenAlexW4285084318MaRDI QIDQ5093268

Karl Kunisch, Eduardo Casas

Publication date: 26 July 2022

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.06535

zbMATH Keywords

optimal controlinfinite horizonsemilinear parabolic equationssparse controls

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonsmooth analysis (49J52) Initial-boundary value problems for second-order parabolic equations (35K20) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear parabolic equations (35K58) PDEs in connection with control and optimization (35Q93)

Related Items (4)

Remarks on finite and infinite time-horizon optimal control problems ⋮ Infinite Horizon Optimal Control Problems with Discount Factor on the State, Part II: Analysis of the Control Problem ⋮ Infinite horizon optimal control for a general class of semilinear parabolic equations ⋮ Infinite Horizon Optimal Control Problems with Discount Factor on the State, Part I: Analysis of the Controlled State Equation

Cites Work

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• Necessary conditions for infinite horizon optimal control problems with state constraints
• Optimal control of semilinear parabolic equations with non-smooth pointwise-integral control constraints in time-space
• Analysis of Spatio-Temporally Sparse Optimal Control Problems of Semilinear Parabolic Equations
• Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations
• Necessary Conditions for Optimal Control Problems with Infinite Horizons
• Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback Laws

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