BILINEAR OPTIMAL CONTROL FOR A WAVE EQUATION

DOI10.1142/S0218202599000051zbMath0939.49016MaRDI QIDQ4270558

Min Liang

Publication date: 22 November 1999

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

optimal controlnecessary optimality conditionswave equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Wave equation (35L05)

Related Items (19)

The Bubnov-Galerkin method in control problems for bilinear systems ⋮ Bounded and unbounded optimal control for infinite dimensional bilinear systems ⋮ Bilinear optimal control of the velocity term in a Kirchhoff plate equation ⋮ Controllability of the wave equation with bilinear controls ⋮ Unbounded Optimal Control of a Class of Distributed Bilinear Systems ⋮ Problem of optimal control for bilinear systems with endpoint constraint ⋮ Optimal Control of a Parabolic Trough Receiver Distributed Model ⋮ Small-time extinction with decay estimate of bilinear systems on Hilbert space ⋮ Regional optimal control problem for the vibrating plate ⋮ An output optimal control of infinite-dimensional hyperbolic bilinear systems ⋮ Regional optimal control for a class of semilinear systems with distributed controls ⋮ Regional optimal control of a bilinear wave equation ⋮ Finite-time control for the bilinear heat equation ⋮ Optimal control of an elastic string with viscous damping ⋮ Optimal control systems by time-dependent coefficients using CAS wavelets ⋮ Eigenfrequency determination for arbitrary cross-section waveguides ⋮ Optimal control of an elastic string with viscous damping ⋮ Reachability of nonnegative equilibrium states for the semilinear vibrating string by varying its axial load and the gain of damping ⋮ Identification problem for the wave equation with Neumann data input and Dirichlet data observations

Cites Work

• Feedback stabilization of distributed semilinear control systems
• Bilinear optimal control of a Kirchhoff plate
• Controllability for Distributed Bilinear Systems
• Nonharmonic fourier series and the stabilization of distributed semi-linear control systems
• A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations
• Optimal Regulation of Linear Symmetric Hyperbolic Systems with Finite Dimensional Controls
• Boundary Value Control of the Higher-Dimensional Wave Equation

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