Synthesis in problems of optimal control containing trajectories with participating switchings and singular trajectories of the second order

DOI10.1007/BF01157282zbMath0709.49002OpenAlexW2083107073MaRDI QIDQ921560

V. F. Borisov, M. I. Zelikin

Publication date: 1990

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01157282

zbMATH Keywords

infinite number of switcheslocal optimal synthesis

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Fuller's phenomenon: review

Cites Work

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• Modes with switchings of increasing frequency in the problem of controlling a robot
• Minimum-fuel rocket trajectories involving intermediate-thrust arcs
• Second-order tests in optimization theories
• Minimization of a non-quadratic cost functional for third-order saturating control systems

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