Optimality conditions for infinite order hyperbolic control problem with non-standard functional and time delay

DOI10.1080/02522667.2007.10699746zbMath1286.49020OpenAlexW2085910302MaRDI QIDQ5455031

Wiesław Kotarski, Gaber Mohamed Bahaa

Publication date: 3 April 2008

Published in: Journal of Information and Optimization Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02522667.2007.10699746

zbMATH Keywords

optimal controloptimality conditionsNeumann problemWeierstrass theoremconical approximationDubovitskii-Miljutin theoremhyperbolic operators with infinite order and time delay

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Optimality conditions for problems in abstract spaces (49K27)

Related Items (3)

DISTRIBUTED CONTROL FOR 2 x 2 COUPLED INFINITE ORDER HYPERBOLIC SYSTEMS ⋮ Optimality conditions for infinite order distributed parabolic systems with multiple time delays given in integral form ⋮ Time-Optimal Control of Infinite Order Distributed Parabolic Systems Involving Multiple Time-Varying Lags

Cites Work

• Optimal control of a system governed by a parabolic equation with an infinite number of variables
• Pareto optimality in multiobjective problems
• Boundary control problem with an infinite number of variables
• Some properties of cones in normed spaces and their application to investigating extremal problems
• Sulle equazioni differenziali astratte lineari del primo e del secondo ordine negli spazi di Hilbert
• Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
• SOBOLEV SPACES OF INFINITE ORDER AND THE BEHAVIOR OF SOLUTIONS OF SOME BOUNDARY VALUE PROBLEMS WITH UNBOUNDED INCREASE OF THE ORDER OF THE EQUATION
• NONTRIVIALITY OF SOBOLEV SPACES OF INFINITE ORDER FOR A FULL EUCLIDEAN SPACE AND A TORUS
• Quadratic Pareto optimal control of parabolic equation with state-control constraints and an infinite number of variables
• Optimal control of parabolic equation with an infinite number of variables for non-standard functional and time delay
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