Optimal boundary control of one-dimensional multi-span vibrating systems

DOI10.1016/S0377-0427(98)80020-4zbMath0937.74044OpenAlexW2083380240MaRDI QIDQ1298599

L. Jamiiru, H. A. Al-Mohamad, Ibrahim S. Sadek

Publication date: 22 August 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)80020-4

zbMATH Keywords

optimal controlmaximum principleHamiltonianuniqueness of solutionhyperbolic partial differential equationscoupled vibrating systemsconvexity arguments

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (6)

A maximum principle approach to optimal control for one-dimensional hyperbolic systems with several state variables ⋮ Optimality conditions for the control of a double-membrane complex system by a modal decomposition technique ⋮ Optimal control of an elastically connected rectangular plate--membrane system ⋮ Boundary optimal control of structural vibrations in an annular plate ⋮ Optimal Control of Structural Dynamic Systems in One Space Dimension Using a Maximum Principle ⋮ A Solution Method for Boundary Control of One-Dimensional Multispan Vibrating Systems

Cites Work

• Optimal boundary control of a tracking problem for a parabolic distributed parameter system
• Modeling, Stabilization and Control of Serially Connected Beams
• Pointwise Stabilization in the Middle of the Span for Second Order Systems, Nonuniform and Uniform Exponential Decay of Solutions
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Energy Decay Problems in the Design of a Point Stabilizer for Coupled String Vibrating Systems
• Pointwise Stabilization for a Chain of Coupled Vibrating Strings
• Exponential Stability Analysis of a Long Chain of Coupled Vibrating Strings with Dissipative Linkage
• Controllability and Stabilizability of Coupled Strings with Control Applied at the Coupled Points
• Boundary Control of a One-Dimensional Linear Thermoelastic Rod
• Control of Planar Networks of Timoshenko Beams
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Optimal boundary control of one-dimensional multi-span vibrating systems