Lower bounds and duality in the optimal control of distributed systems

DOI10.1016/0022-247X(79)90063-5zbMath0418.49022OpenAlexW1970305589MaRDI QIDQ1131713

S. H. Smith

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90063-5

zbMATH Keywords

state constraintsduality theoryconvex functionaloptimal control problemselliptic control problemsnon- differentiable functional

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Controllability (93B05) Elliptic equations and elliptic systems (35J99) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (3)

Duality in the optimal control of non-well-posed parabolic equations with positive controls ⋮ Dual optimal distributed systems with non-negative controls ⋮ Weak duality for parabolic boundary control problems

Cites Work

• An application of duality to distributed optimal control problems with constraints on the control and the state
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