Optimal boundary force control at one end of a string for a given displacement mode at the other end

DOI10.1134/S0012266111070123zbMath1251.49005MaRDI QIDQ642037

E. I. Moiseev, A. A. Kholomeeva

Publication date: 25 October 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

generalized solutionmixed initial-boundary value problemoptimal boundary force control, string

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Wave equation (35L05) Existence theories for optimal control problems involving partial differential equations (49J20) Strings (74K05)

Related Items (2)

Solvability of the mixed problem for the wave equation with a dynamic boundary condition ⋮ Optimal boundary control by a force at one end of a string with a given force mode at the other end

Cites Work

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• Optimal boundary displacement control of string vibrations with a nonlocal evenness condition of the second kind
• Optimal boundary control of string vibrations with a model nonlocal boundary condition of one of two types
• Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind

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