Minimum time control problems for non-autonomous differential equations

DOI10.1016/j.sysconle.2009.08.003zbMath1181.49034OpenAlexW1984394051MaRDI QIDQ847126

Ariela Briani, Olivier Bokanowski, Hasnaa Zidani

Publication date: 12 February 2010

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2009.08.003

zbMATH Keywords

Hamilton-Jacobi-Bellman equationminimum time problemreachability setnon-autonomous differential equationstarget problem

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Optimal feedback synthesis (49N35) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Optimal control of normalized SIMR models with vaccination and treatment ⋮ Controlling Trajectories Globally via Spatiotemporal Finite-Time Optimal Control ⋮ Construction of the minimum time function for linear systems via higher-order set-valued methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An efficient data structure and accurate scheme to solve front propagation problems
• Static PDEs for time-dependent control problems
• Anti-dissipative schemes for advection and application to Hamilton-Jacobi-bellmann equations
• Approximation of the viability kernel
• Viscosity solutions of Hamilton-Jacobi equations
• Two Approximations of Solutions of Hamilton-Jacobi Equations
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians
• Fast Semi-Lagrangian Schemes for the Eikonal Equation and Applications
• Viscosity Solutions of Hamilton-Jacobi Equations
• Discontinuous solutions of deterministic optimal stopping time problems
• Optimal Control and Semicontinuous Viscosity Solutions
• High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
• A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

This page was built for publication: Minimum time control problems for non-autonomous differential equations