Optimization of boundary controls by elastic boundary forces at two ends of a string during an arbitrary sufficiently large time interval \(T\)

DOI10.1134/S1064562407060233zbMath1151.49006MaRDI QIDQ957820

E. I. Moiseev, Vladimir Il'in

Publication date: 1 December 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

wave equationgeneralized solutionstring oscillationsoptimal boundary controls by elastic forces

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Existence theories for optimal control problems involving partial differential equations (49J20) Strings (74K05)

Related Items (3)

Boundary control of a hyperbolic system with one space variable ⋮ Optimal boundary control of a hyperbolic system of heat equations ⋮ The independence of optimal boundary controls of string oscillations from the choice of a point of compatibility of the initial and final conditions

Cites Work

• Optimization of a boundary control by a displacement at one end of a string based on minimization of the integral of the modulus of the derivative of the displacement raised to an arbitrary power \(p \geq 1\)
• Minimization of the \(L_{p}\)-norm with arbitrary \(p \geq 1\) of the derivative of a boundary displacement control on an arbitrary sufficiently large time interval t

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