Explore a comprehensive tutorial on real-time reachability in high-dimensional Hamilton-Jacobi PDEs. Delve into applications, traffic patterns, simulations, and hybrid systems with a focus on the SkyDo model. Examine reachability concepts, unsafe sets, non-anticipated strategies, and finite time horizons. Investigate the Hamilton-Jacobi-Isaacs equation, level set methods, and the Level Set Toolbox. Learn about control and disturbance in simulations. This lecture, presented by Claire Tomlin from the University of California, Berkeley, is part of the High Dimensional Hamilton-Jacobi PDEs Tutorials 2020 series at the Institute for Pure and Applied Mathematics, UCLA.
Claire Tomlin- "Towards Real-Time Reachability"
Institute for Pure & Applied Mathematics (IPAM) via YouTube
Overview
Syllabus
Introduction
Applications
Traffic Patterns
Simulation
Hybrid Systems
SkyDo
Hybrid System Model
Reachability
Unsafe Sets
NonAnticipated Strategies
Finite Time Horizon
Hamilton Jacobs Isaacs
Does this set depend on which L
What is that doing
HamiltonJacobi Equation
Level Set Methods
Level Set Toolbox
Control and Disturbance
Simulations
Taught by
Institute for Pure & Applied Mathematics (IPAM)
