Operators arising as second variation of optimal control problems and their spectral asymptotics

DOI10.1007/S10883-022-09605-1arXiv2107.12290OpenAlexW3186439642WikidataQ114225837 ScholiaQ114225837MaRDI QIDQ6078370

Unnamed Author

Publication date: 24 October 2023

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12290

zbMATH Keywords

optimal controlsecond variationcompact operatorWeyl law

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Local spectral properties of linear operators (47A11) Operators on real function spaces (47B92)

Related Items (1)

Functional determinants for the second variation

Cites Work

• Unnamed Item
• Quadratic mappings in geometric control theory
• Symplectic geometry of constrained optimization
• Perturbation theory for linear operators.
• Control theory from the geometric viewpoint.
• Jacobi fields in optimal control: one-dimensional variations
• Jacobi fields in optimal control: Morse and Maslov indices
• Spectrum of the second variation
• Concerning rates of convergence of Riemann sums
• An invariant second variation in optimal control
• A Comprehensive Introduction to Sub-Riemannian Geometry
• Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning

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