Lyapunov Stabilization for Nonlocal Traffic Flow Models
DOI10.1137/22m152181xzbMath1525.35030arXiv2209.05256MaRDI QIDQ6049871
Michael Herty, Simone Goettlich, Jan Friedrich
Publication date: 11 October 2023
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.05256
Asymptotic behavior of solutions to PDEs (35B40) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Integro-partial differential equations (35R09) Traffic and pedestrian flow models (76A30)
Cites Work
- Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity
- Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic
- Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model
- A traffic flow model with non-smooth metric interaction: well-posedness and micro-macro limit
- Lyapunov stability analysis of networks of scalar conservation laws
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping
- Existence, uniqueness and regularity results on nonlocal balance laws
- Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model
- Singular limits with vanishing viscosity for nonlocal conservation laws
- Nonlocal approaches for multilane traffic models
- Lyapunov-based two-dimensional cruise control of autonomous vehicles on lane-free roads
- The BGK approximation of kinetic models for traffic
- Stationary wave profiles for nonlocal particle models of traffic flow on rough roads
- Nonlocal conservation laws with time delay
- Non-local multi-class traffic flow models
- A Godunov type scheme for a class of LWR traffic flow models with non-local flux
- On the singular local limit for conservation laws with nonlocal fluxes
- Traveling waves for nonlocal models of traffic flow
- Well-posedness of a conservation law with non-local flux arising in traffic flow modeling
- Nonlocal Scalar Conservation Laws on Bounded Domains and Applications in Traffic Flow
- Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel
- High-Order Numerical Schemes for One-Dimensional Nonlocal Conservation Laws
- Maximum Principle Satisfying CWENO Schemes for Nonlocal Conservation Laws
- Resurrection of "Second Order" Models of Traffic Flow
- On the Numerical Integration of Scalar Nonlocal Conservation Laws
- Stability of a Nonlocal Traffic Flow Model for Connected Vehicles
- A non-local traffic flow model for 1-to-1 junctions
- Analysis and control of a non-local PDE traffic flow model
- Stability analysis of nonlinear inviscid microscopic and macroscopic traffic flow models of bidirectional cruise-controlled vehicles
- Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws
- Micro-Macro Limit of a Nonlocal Generalized Aw-Rascle Type Model
- Regularity and Lyapunov Stabilization of Weak Entropy Solutions to Scalar Conservation Laws
- Shock Waves on the Highway
- On kinematic waves II. A theory of traffic flow on long crowded roads
- Macroscopic limits of non-local kinetic descriptions of vehicular traffic
This page was built for publication: Lyapunov Stabilization for Nonlocal Traffic Flow Models