An existence theorem for an optimal control problem in banach spaces

DOI10.1017/S0004972700002719zbMath0649.49006OpenAlexW2089739173MaRDI QIDQ3794799

Nikolaos S. Papageorgiou, Evgenios P. Avgerinos

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700002719

zbMATH Keywords

nonlinear distributed parameter systemcontrol constraints of feedback typeexistence of an optimal admissible state-control pairintegral cost criterion

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Normed linear spaces and Banach spaces; Banach lattices (46B99) Nonlinear systems in control theory (93C10) Control/observation systems in abstract spaces (93C25) Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20) Higher-order parabolic equations (35K25)

Cites Work

• Unnamed Item
• On the theory of Banach space valued multifunctions. I: Integration and conditional expectation
• Convergence theorems for Banach space valued integrable multifunctions
• On the existence of optimal controls
• Properties of the Relaxed Trajectories of Evolution Equations and Optimal Control
• Lower Semicontinuity of Integral Functionals with Nonconvex Integrands by Relaxation-Compactification

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