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 \(p \geq 1\)
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Publication:492470
DOI10.1134/S1064562407010346zbMath1327.49010OpenAlexW1965589925MaRDI QIDQ492470
Publication date: 20 August 2015
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562407010346
Wave equation (35L05) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items (6)
A string oscillations simulation with boundary conditions of hysteresis type ⋮ 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 ⋮ Optimization of an optimal boundary control by an elastic force at one end of a string under a model nonlocal boundary condition of one of four types ⋮ 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 ⋮ Optimization of a control by an elastic boundary force during an arbitrary sufficiently large time interval \(T\) at one end of a string with second end free
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 \(p \geq 1\)
- Optimization of boundary controls of string vibrations
- THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS
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