Iterated Lie brackets for nonsmooth vector fields
From MaRDI portal
Publication:1693399
DOI10.1007/S00030-017-0484-4zbMath1379.93032OpenAlexW2765219464MaRDI QIDQ1693399
Publication date: 31 January 2018
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-017-0484-4
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Nonsmooth analysis (49J52) Geometric methods (93B27) Hyperbolic equations and hyperbolic systems (35L99)
Related Items (12)
Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I: The Heisenberg group ⋮ Unbounded Control, Infimum Gaps, and Higher Order Normality ⋮ GOH Conditions for Minima of Nonsmooth Problems with Unbounded Controls ⋮ Higher dimensional holonomy map for rules submanifolds in graded manifolds ⋮ HJ inequalities involving Lie brackets and feedback stabilizability with cost regulation ⋮ Measure-theoretic Lie brackets for nonsmooth vector fields ⋮ Asymptotic Controllability and Lyapunov-like Functions Determined by Lie Brackets ⋮ Robust feedback stabilization by means of Lyapunov-like functions determined by Lie brackets ⋮ A Higher-Order Maximum Principle for Impulsive Optimal Control Problems ⋮ Unnamed Item ⋮ New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs
Cites Work
- Unnamed Item
- Integral representations for bracket-generating multi-flows
- Foliating metric spaces: a generalization of Frobenius' theorem
- Commutators of flow maps of nonsmooth vector fields
- A short proof of the generalized Faà di Bruno's formula
- Frobenius-type theorems for Lipschitz distributions
- A Multivariate Faa di Bruno Formula with Applications
- Discrete Calculus
This page was built for publication: Iterated Lie brackets for nonsmooth vector fields
