On an optimal boundary control problem with a dynamic boundary condition
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Publication:376389
DOI10.1134/S0012266113050133zbMath1273.49010MaRDI QIDQ376389
E. I. Moiseev, A. A. Kholomeeva
Publication date: 4 November 2013
Published in: Differential Equations (Search for Journal in Brave)
optimization problemstring vibrationsdirectional derivativedynamic boundary conditionoptimal boundary control problem
Initial-boundary value problems for second-order hyperbolic equations (35L20) Control of mechanical systems (70Q05) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items (3)
Optimal boundary displacement control at one end of a string with a medium exerting resistance at the other end ⋮ Unnamed Item ⋮ Optimal boundary control of string vibrations with given shape of deflection at a certain moment of time
Cites Work
- Optimal boundary control by the displacement of one endpoint of the string with the other endpoint being free in an arbitrarily large time interval
- Solvability of the mixed problem for the wave equation with a dynamic boundary condition
- 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 boundary controls of string vibrations
- Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation
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