Stability analysis of a stochastic port-Hamiltonian car-following model
DOI10.1088/1751-8121/AD5D2FzbMATH Open1548.37074MaRDI QIDQ6572817
Barbara Rüdiger, Antoine Tordeux, Baris Evren Ugurcan
Publication date: 16 July 2024
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
stability analysisOrnstein-Uhlenbeck processstochastic port-Hamiltonian systemsingle-file motionstochastic car-following model
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Optimal stochastic control (93E20) Dynamical systems in control (37N35) Generation, random and stochastic difference and differential equations (37H10) Numerical solutions to stochastic differential and integral equations (65C30) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Dynamical aspects of statistical mechanics (37A60) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Traffic and pedestrian flow models (76A30)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Formation control of a multi-agent system subject to Coulomb friction
- Symmetries and conservation laws for Hamiltonian systems with inputs and outputs: A generalization of Noether's theorem
- An intrinsic Hamiltonian formulation of network dynamics: Non-standard Poisson structures and gyrators
- Consensus dynamics with arbitrary sign-preserving nonlinearities
- Port-Hamiltonian modeling of ideal fluid flow. II: Compressible and incompressible flow
- Port-Hamiltonian modeling of ideal fluid flow. I: Foundations and kinetic energy
- The effect of headway variation tendency on traffic flow: modeling and stabilization
- Port-Hamiltonian formulation of two-phase flow models
- Safety analysis of integrated adaptive cruise and Lane keeping control using multi-modal port-Hamiltonian systems
- Passivity-based control for multi-vehicle systems subject to string constraints
- Output synchronization of multi-agent port-Hamiltonian systems with link dynamics.
- Ordinary differential equations and dynamical systems
- White and relaxed noises in optimal velocity models for pedestrian flow with stop-and-go waves
- Traffic jams: dynamics and control
- Nonlinear Follow-the-Leader Models of Traffic Flow
- On Choosing and Bounding Probability Metrics
- Ergodicity for Infinite Dimensional Systems
- Spontaneous Wave Formation in Stochastic Self-Driven Particle Systems
- Port-Hamiltonian Systems Theory: An Introductory Overview
- Twenty years of distributed port-Hamiltonian systems: a literature review
- Analysis and Synthesis of MIMO Multi-Agent Systems Using Network Optimization
- Overview: Collective Control of Multiagent Systems
- Influence of the number of predecessors in interaction within acceleration-based flow models
- Traffic Dynamics: Analysis of Stability in Car Following
- On the zeros of polynomials with complex coefficients
- Probability theory. A comprehensive course
- Stochastic Equations in Infinite Dimensions
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