Optimal control problem governed by semilinear parabolic equation and its algorithm

DOI10.1007/s10255-005-5062-6zbMath1142.49011OpenAlexW1984256022MaRDI QIDQ925973

En-Min Feng, Chun-Fa Li, Xue Yang

Publication date: 26 May 2008

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-005-5062-6

zbMATH Keywords

optimal controlsemilinear parabolic equationsadjoint systemdistributed parameter systemstrong variation method

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Initial-boundary value problems for second-order parabolic equations (35K20)

Cites Work

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• Optimal control computation for parabolic systems with boundary conditions involving time delays
• Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations
• First-order strong variation algorithms for optimal control
• Optimal control problems with state constraints for semilinear distributed-parameter systems
• Integral state-constrained optimal control problems for some quasilinear parabolic equations
• First-order strong variation algorithm for optimal control problems involving parabolic systems
• Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
• Pontryagin Maximum Principle for Semilinear and Quasilinear Parabolic Equations with Pointwise State Constraints

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