LIMIT OF A COLLECTION OF DYNAMICAL SYSTEMS: AN APPLICATION TO MODELING THE FLOW OF TRAFFIC

DOI10.1142/S0218202502002161zbMath1155.90345MaRDI QIDQ4798938

Kumbakonam R. Rajagopal, Swaroop Darbha

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) Traffic problems in operations research (90B20)

Related Items

ON THE MATHEMATICAL THEORY OF VEHICULAR TRAFFIC FLOW I: FLUID DYNAMIC AND KINETIC MODELLING ⋮ ON A DIFFUSIVELY CORRECTED KINEMATIC-WAVE TRAFFIC FLOW MODEL WITH CHANGING ROAD SURFACE CONDITIONS ⋮ Boundary value steady solutions of a class of hydrodynamic models for vehicular traffic flow ⋮ Stability analysis of delayed-feedback control effect in the continuum traffic flow of autonomous vehicles without V2I communication ⋮ A review of mathematical models for the flow of traffic and some recent results ⋮ ANTICIPATION DRIVING BEHAVIOR AND RELATED REDUCTION OF ENERGY CONSUMPTION IN TRAFFIC FLOW ⋮ A dynamical systems approach based on averaging to model the macroscopic flow of freeway traffic ⋮ A parameter estimation scheme for a class of sequential hybrid systems

Cites Work

• From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
• String stability of interconnected systems
• Nonlinear Effects in the Dynamics of Car Following
• A Boltzmann-Like Approach for Traffic Flow
• On kinematic waves II. A theory of traffic flow on long crowded roads
• Aggregation of a class of interconnected, linear dynamical systems