A maximum principle approach to optimal control for one-dimensional hyperbolic systems with several state variables

DOI10.1016/J.JFRANKLIN.2006.02.021zbMath1134.49013OpenAlexW2049194041MaRDI QIDQ2455458

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

Publication date: 24 October 2007

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2006.02.021

zbMATH Keywords

Structural controlFlextural and torsional vibrationsmaximum principle for optimal controlSystem of hyperbolic equations

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Vibrations in dynamical problems in solid mechanics (74H45) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Optimal control of a beam with Kelvin–Voigt damping subject to forced vibrations using a piezoelectric patch actuator

Cites Work

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• Optimal control problems for distributed parameter systems in Banach spaces
• Optimal boundary control of one-dimensional multi-span vibrating systems
• Maximum principle for the optimal control of a hyperbolic equation in one space dimension. II: Application
• Optimal open-loop/closed-loop control for one-dimensional structures with several state variables
• Dynamic programming approach to the optimal control of systems governed by Goursat-Darboux equations
• Feedback control of vibrations in an extendible cantilever wing
• Maximum principle for optimal control of some parabolic systems with two point boundary conditions^*
• Effect Of End Conditions On The Active Control Of Beam Vibration
• Maximum principle in nonlinear hyperbolic systems and its applications
• A Maximum Principle for Optimal Control Using Spatially Distributed Pointwise Controllers
• Maximum Principles for a Class of Conservation Laws
• Optimal control of a distributed hyperbolic system with multiple time-varying lags
• Robust maximum principle in minimax control
• Optimal Control of Structural Dynamic Systems in One Space Dimension Using a Maximum Principle
• An Extension of the Maximum Principle for a Class of Optimal Control Problems in Infinite-Dimensional Spaces

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