Optimization of boundary controls by displacements at two ends of a string during an arbitrary sufficiently large time interval

DOI10.1134/S1064562407060075zbMath1151.49004MaRDI QIDQ957804

E. I. Moiseev, Vladimir Il'in

Publication date: 1 December 2008

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

zbMATH Keywords

generalized solution to the wave equationoptimal boundary controlsstring transferring

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 (1)

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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