Numerical construction of viable sets for autonomous conflict control systems

DOI10.3390/MATH2020068zbMath1304.49074OpenAlexW2109748011MaRDI QIDQ401964

Nikolai D. Botkin, Varvara L. Turova

Publication date: 27 August 2014

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math2020068

zbMATH Keywords

Hamilton-Jacobi equationdifferential gamevalue functionstate constraintbackward procedureviability kernel

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (3)

Aircraft control during cruise flight in windshear conditions: viability approach ⋮ Extended model of impaired cerebral autoregulation in preterm infants: heuristic feedback control ⋮ Determining the viability for hybrid control systems on a region with piecewise smooth boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Error bounds for polynomial tensor product interpolation
• Stable Numerical Schemes for Solving Hamilton–Jacobi–Bellman–Isaacs Equations
• Approximation schemes for solving disturbed control problems with non-terminal time and state constraints
• A Survey of Viability Theory
• Robustness of uncertain systems in the absence of matching assumptions
• Linear Differential Games
• Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side
• Properties of the solution set of a generalized differential equation

This page was built for publication: Numerical construction of viable sets for autonomous conflict control systems