On the existence of optimal solutions to an optimal control problem

DOI10.1007/s10957-006-9036-5zbMath1103.49004OpenAlexW2066469147MaRDI QIDQ857591

N. E. Zubov

Publication date: 19 December 2006

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-006-9036-5

zbMATH Keywords

existence of optimal solutionsoptimal control problemsGoursat-Darboux problemimplicit function theorem for multimappings

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (5)

The boundary-value problems for parabolic equations with a nonlocal condition and degenerations ⋮ Existence of optimal solutions of two-directionally continuous linear repetitive processes ⋮ On the existence of optimal solutions to the Lagrange problem governed by a nonlinear Goursat-Darboux problem of fractional order ⋮ On the existence of an optimal solution of the Mayer problem governed by 2D continuous counterpart of the Fornasini-Marchesini model ⋮ Stability analysis of an optimal control problem for a hyperbolic equation

Cites Work

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• Two-dimensional linear systems
• Optimal control theory
• On the existence of a solution for some distributed optimal control hyperbolic system
• Absolutely continuous functions of several variables and their application to differential equations
• Doubly-indexed dynamical systems: State-space models and structural properties
• On helly's theorem for functions of several variables and its applications to variational problems^∗

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