Approximation of chattering arcs in optimal control problems governed by mono-input affine control systems

DOI10.1007/S11228-024-00725-3zbMATH Open1546.49033MaRDI QIDQ6595554

Terence Bayen, F. Mairet

Publication date: 30 August 2024

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

zbMATH Keywords

optimal controlnumerical methodschatteringsingular arcs

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Newton-type methods (49M15) Application models in control theory (93C95) Discrete approximations in optimal control (49M25) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

• Title not available (Why is that?)
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• Title not available (Why is that?)
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• Title not available (Why is that?)
• Optimal synthesis for the minimum time control problems of fed-batch bioprocesses for growth functions with two maxima
• Geometric optimal control. Theory, methods and examples
• Tangency property and prior-saturation points in minimal time problems in the plane
• Convex analysis and measurable multifunctions
• Theory of chattering control with applications to astronautics, robotics, economics, and engineering
• Optimal syntheses for control systems on 2-D manifolds
• Geometric optimal control and applications to aerospace
• Chattering and its approximation in control of psoriasis treatment
• Optimal control for mathematical models of cancer therapies. An application of geometric methods
• The promise of dawn: microalgae photoacclimation as an optimal control problem of resource allocation
• Minimum time control of the rocket attitude reorientation associated with orbit dynamics
• Optimal feedback strategies for bacterial growth with degradation, recycling, and effect of temperature
• Singular Trajectories of Control-Affine Systems
• Singular optimal controls for second-order saturating systems
• Regularization of Chattering Phenomena via Bounded Variation Controls
• Dynamical Analysis and Optimization of a Generalized Resource Allocation Model of Microbial Growth
• Necessary Conditions for Singular Extremals Involving Multiple Control Variables
• Optimal control

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