Bilinear optimal control of a Kirchhoff plate

DOI10.1016/0167-6911(94)90023-XzbMath1055.49511OpenAlexW2068923407WikidataQ60231289 ScholiaQ60231289MaRDI QIDQ1319472

Mary Elizabeth Bradley, Suzanne M. Lenhart

Publication date: 19 April 1994

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(94)90023-x

zbMATH Keywords

optimal controlregularityKirchhoff plateoptimality conditionswell-posednessbilinear control

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Plates (74K20)

Related Items (16)

The Bubnov-Galerkin method in control problems for bilinear systems ⋮ BILINEAR OPTIMAL CONTROL FOR A WAVE EQUATION ⋮ Bounded and unbounded optimal control for infinite dimensional bilinear systems ⋮ Constrained regional control problem of a bilinear plate equation ⋮ Bilinear optimal control of the velocity term in a Kirchhoff plate equation ⋮ Fréchet differentiability for an extensible beam equation and its application to bilinear minimax control problems ⋮ Unbounded Optimal Control of a Class of Distributed Bilinear Systems ⋮ Problem of optimal control for bilinear systems with endpoint constraint ⋮ Bilinear Boundary Control Problem of an Output of Parabolic Systems ⋮ Regional optimal control problem for the vibrating plate ⋮ 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 ⋮ Quadratic cost minimax optimal control problems for a semilinear viscoelastic equation with long memory ⋮ Topology optimization for elastic base under rectangular plate subjected to moving load ⋮ Bilinear minimax optimal control problems for a von Kárman system with long memory

Cites Work

• Exact controllability of the Euler-Bernoulli equation with boundary controls for displacement and moment
• Exact controllability and uniform stabilization of Kirchhoff plates with boundary control only on \(\Delta{} w{} _ \Sigma\) and homogeneous boundary displacement
• Exact controllability of the Euler-Bernoulli plate via bending moments only on the space of optimal regularity
• Uniform decay rates for the solutions to the Euler-Bernoulli plate equation with boundary feedback acting via bending moments
• Feedback stabilization of distributed semilinear control systems
• Optimal control of a heat transfer problem with convective boundary condition
• Optimal damping control and nonlinear parabolic systemes
• Controllability for Distributed Bilinear Systems
• Optimal Damping Control and Nonlinear Elliptic Systems
• Local exponential stabilization for a nonlinearly perturbed von Kármán plate
• The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators
• Nonharmonic fourier series and the stabilization of distributed semi-linear control systems
• APPLICATION OF DISTRIBUTED PARAMETER CONTROL MODEL IN WILDLIFE DAMAGE MANAGEMENT
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