Exact minimum-time control of a distributed system using a traveling wave formulation

DOI10.1007/BF00940083zbMath0794.49004OpenAlexW2068180894MaRDI QIDQ1321166

V. Pereyra

Publication date: 13 September 1994

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

Full work available at URL: https://doi.org/10.1007/bf00940083

zbMATH Keywords

time-optimal controltraveling waveminimum-time control problemone-dimensional second-order distributed parameter system

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (5)

L^∞-Norm minimal control of the wave equation: on the weakness of the bang-bang principle ⋮ Exact penalization of terminal constraints for optimal control problems ⋮ On the semi-discretization of optimal control problems for networks of elastic strings: Global optimality systems and domain decomposition ⋮ Analytic solutions of \(L^{\infty}\) optimal control problems for the wave equation ⋮ Global boundary controllability of the de St. Venant equations between steady states

Cites Work

• Optimal control in Banach spaces
• Traveling wave control for large spacecraft structures
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Time-Optimal Control of Solutions of Operational Differenital Equations
• Optimal Control Problems in Banach Spaces
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