Approximating with Lipschitz controls

DOI10.1006/jath.2000.3487zbMath0978.93036OpenAlexW2010349040MaRDI QIDQ1587649

Götz Grammel

Publication date: 27 June 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2000.3487

zbMATH Keywords

nonlinear controldynamical systemLipschitz controlsset of solutionsmeasurable controls

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Differential games with Lipschitz control functions and fixed initial control positions
• A generalization of Caratheodory's theorem
• Limits of nonlinear discrete-time control systems with fast subsystems
• The Exponential Formula for the Reachable Set of a Lipschitz Differential Inclusion
• Difference Methods for Differential Inclusions: A Survey
• Averaging in Lagrange and Minimax Problems of Optimal Control
• On the Time-Discretization of Control Systems
• Stability and Euler Approximation of One-sided Lipschitz Differential Inclusions