A Hamiltonian approach to small time local attainability of manifolds for nonlinear control systems

DOI10.1007/s00245-023-09973-5OpenAlexW4362732969MaRDI QIDQ2701073

Pierpaolo Soravia

Publication date: 27 April 2023

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.13476

zbMATH Keywords

control theoryHölder regularityminimum time functionHamilton Jacobi equationcontrollability conditions

Mathematics Subject Classification ID

Controllability (93B05) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets
• Commutators of flow maps of nonsmooth vector fields
• Local controllability of control systems with feedback
• An open mapping principle for set-valued maps
• Local controllability and semigroups of diffeomorphisms
• Hölder continuity of the minimum-time function for \(C^ 1\)-manifold targets
• Regularity results for the minimum time function with Hörmander vector fields
• The Aronsson equation, Lyapunov functions, and local Lipschitz regularity of the minimum time function
• Second order conditions for the controllability of nonlinear systems with drift
• On the Bellman function for the time-optimal process problem
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• An Approximation Scheme for the Minimum Time Function
• Hamilton-Jacobi Equations With Singular Boundary Conditions on a free Boundary and Applications to Differential Games
• A Sufficient Condition for Small-Time Local Controllability
• Lie Brackets and Local Controllability: A Sufficient Condition for Scalar-Input Systems
• A General Theorem on Local Controllability
• Local small time controllability and attainability of a set for nonlinear control system
• Asymptotic Controllability and Lyapunov-like Functions Determined by Lie Brackets
• A degenerate elliptic equation for second order controllability of nonlinear systems
• Controllability of Some Nonlinear Systems with Drift via Generalized Curvature Properties
• Small-time local attainability for a class of control systems with state constraints
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

This page was built for publication: A Hamiltonian approach to small time local attainability of manifolds for nonlinear control systems