Optimization of a boundary control by a displacement at one end of a string with second end free during an arbitrary sufficiently large time interval
From MaRDI portal
Publication:957799
DOI10.1134/S1064562407060026zbMath1151.49003MaRDI QIDQ957799
Publication date: 1 December 2008
Published in: Doklady Mathematics (Search for Journal in Brave)
wave equationgeneralized solutionboundary energy integralexplicit analytic forms of optimal boundary controls
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 (5)
The independence of optimal boundary controls of string oscillations from the choice of a point of compatibility of the initial and final conditions ⋮ Uniqueness theorems for generalized solutions to four mixed problems for the wave equation with nonlocal boundary conditions ⋮ An analytic form of an optimal boundary control by displacement at one end of a string under a model nonlocal boundary condition of one of four types ⋮ Optimal control of the vibration of elastic systems described by the wave equation ⋮ Mathematical physics branches: identifying mixed type equations
Cites Work
- Optimization of a boundary control of an elastic force at one end of a string based on minimization of the integral of the modulus of the elastic force raised to an arbitrary power \(p \geq 1\)
- 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 \(p \geq 1\)
This page was built for publication: Optimization of a boundary control by a displacement at one end of a string with second end free during an arbitrary sufficiently large time interval
