Maximum principle for the optimal control of a hyperbolic equation in one space dimension. II: Application

DOI10.1007/BF02192565zbMath0867.49018OpenAlexW2026055640MaRDI QIDQ1906736

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

Publication date: 13 July 1997

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02192565

zbMATH Keywords

maximum principledynamic responsestructural controlcost functionalvibrating beamsoptimal open-loop controlboundary-value problems of hyperbolic partial differential equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20) Miscellaneous topics in calculus of variations and optimal control (49N99)

Related Items (7)

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 ⋮ A maximum principle approach to optimal control for one-dimensional hyperbolic systems with several state variables ⋮ Instantaneous Optimal Control of Seismically-Excited Structures Using a Maximum Principle ⋮ Optimal Control of Structural Dynamic Systems in One Space Dimension Using a Maximum Principle ⋮ Optimal pointwise control for a parallel system of Euler-Bernoulli beams. ⋮ Optimal distributed control of transverse vibration of a plate

Cites Work

• Optimal control of a Timoshenko beam by distributed forces
• Maximum principle for the optimal control of a hyperbolic equation in one space dimension. I: Theory
• The non-linear beam via optimal control with bounded state variables
• Distributed control and simulation of a Bernoulli-Euler beam

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