Optimization of boundary control at one end of a string in the presence of a model nonlocal condition

DOI10.1134/S0005117909040031zbMath1206.49025OpenAlexW2047785777MaRDI QIDQ1040440

Vladimir Il'in

Publication date: 24 November 2009

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117909040031

zbMATH Keywords

generalized solutionswave equationoptimal boundary control of string vibrations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Initial-boundary value problems for second-order hyperbolic equations (35L20) Control of mechanical systems (70Q05) Wave equation (35L05) Strings (74K05)

Cites Work

• Optimal boundary control by an elastic force at one end of a string with the other end being free for an arbitrary sufficiently large time interval
• Boundary displacement control at one end of a string in the presence of a nonlocal boundary condition of one of four types, and its optimization
• 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
• Optimization of the boundary control of string vibrations by an elastic force on an arbitrary sufficiently large time interval

This page was built for publication: Optimization of boundary control at one end of a string in the presence of a model nonlocal condition