Analysis and control of a non-local PDE traffic flow model
From MaRDI portal
Publication:5068994
DOI10.1080/00207179.2020.1808902zbMath1485.93254arXiv2003.02826OpenAlexW3048506168MaRDI QIDQ5068994
Dionysios Theodosis, Iasson Karafyllis, Markos Papageorgiou
Publication date: 7 April 2022
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.02826
Control/observation systems governed by partial differential equations (93C20) Traffic problems in operations research (90B20) Exponential stability (93D23)
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Cites Work
- Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity
- Stabilization and controllability of first-order integro-differential hyperbolic equations
- Input-to-state stability for PDEs
- Partial differential equations. 4th ed
- Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping
- Stochastic stability of Markov jump hyperbolic systems with application to traffic flow control
- Prediction of traffic convective instability with spectral analysis of the Aaw-Rascle-Zhang model
- PI boundary control of linear hyperbolic balance laws with stabilization of ARZ traffic flow models
- Stability estimates for non-local scalar conservation laws
- Non-coercive Lyapunov functions for infinite-dimensional systems
- Traffic congestion control for Aw-Rascle-Zhang model
- Shock formation in a traffic flow model with Arrhenius look-ahead dynamics
- Existence, uniqueness and regularity results on nonlocal balance laws
- Feedback control of scalar conservation laws with application to density control in freeways by means of variable speed limits
- Regularity results for the solutions of a non-local model of traffic flow
- Traveling waves for nonlocal models of traffic flow
- Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
- Well-posedness of a conservation law with non-local flux arising in traffic flow modeling
- Nonlocal Conservation Laws in Bounded Domains
- Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems
- Feedback Control of Nonlinear Hyperbolic PDE Systems Inspired by Traffic Flow Models
- Shock Waves on the Highway
- ON TYPES OF NOETHERIAN LOCAL RINGS AND MODULES
- Stochastic Modeling and Simulation of Traffic Flow: Asymmetric Single Exclusion Process with Arrhenius look-ahead dynamics
- On kinematic waves II. A theory of traffic flow on long crowded roads