Measure-theoretic Lie brackets for nonsmooth vector fields

DOI10.3934/dcdss.2018052zbMath1408.37039OpenAlexW2805168551MaRDI QIDQ1713264

Antonio Marigonda, Giulia Cavagnari

Publication date: 24 January 2019

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2018052

zbMATH Keywords

Lie bracketoptimal transportset-valued analysis

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Geometric methods in ordinary differential equations (34A26) Dynamics induced by flows and semiflows (37C10) Dynamical systems in control (37N35)

Related Items (3)

Lie brackets of nonsmooth vector fields and commutation of their flows ⋮ Superposition Principle for Differential Inclusions ⋮ Generalized dynamic programming principle and sparse mean-field control problems

Cites Work

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• Frobenius-type theorems for Lipschitz distributions
• The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems
• Time-Optimal Control Problem in the Space of Probability Measures
• Variational Analysis
• Controllability of Some Nonlinear Systems with Drift via Generalized Curvature Properties
• Small-time local attainability for a class of control systems with state constraints

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