Optimal Boundary Control of the Longitudinal Vibrations of a Rod Using a Maximum Principle

DOI10.1177/107754639700300206zbMath0949.49501OpenAlexW1974384345MaRDI QIDQ4515011

John C. jun. Bruch, James M. Sloss, Sarp Adali, Ibrahim S. Sadek

Publication date: 9 November 2000

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/107754639700300206

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control, switches and devices (``smart materials) in solid mechanics (74M05) Differential games and control (49N70) Automated systems (robots, etc.) in control theory (93C85) Vibrations in dynamical problems in solid mechanics (74H45) Pursuit and evasion games (49N75)

Related Items (8)

Trajectory Tracking and Vibration Suppression for General Spatial Motion of a Flexible Plate via Two-time Scale and Boundary Control Methods ⋮ A monolithic optimal control method for displacement tracking of Cosserat rod with application to reconstruction of \textit{C. elegans} locomotion ⋮ Numerical solution of the optimal boundary control of transverse vibrations of a beam ⋮ Optimal (distributed or boundary) control of the vibrations of continuous systems solved numerically in a space‐time domain ⋮ Optimal boundary control of vibrating structures in two space dimensions ⋮ Optimal boundary control of dynamics responses of piezo actuating micro-beams ⋮ Boundary optimal control of structural vibrations in an annular plate ⋮ A Maximum Principle for Optimal Boundary Control of Multiply-Connected Vibrating Plates

Cites Work

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