Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model
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Publication:2046207
DOI10.1007/s10013-021-00506-7zbMath1471.35197OpenAlexW3171181309MaRDI QIDQ2046207
Alexandre M. Bayen, Lukas Pflug, Nicola De Nitti, Alexander Keimer, Jean-Michel Coron
Publication date: 17 August 2021
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10013-021-00506-7
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) First-order hyperbolic equations (35L02) Initial-boundary value problems for first-order hyperbolic equations (35L04) Traffic and pedestrian flow models (76A30)
Related Items
Controllability for a highly re-entrant manufacturing system with local and nonlocal velocity ⋮ Lyapunov Stabilization for Nonlocal Traffic Flow Models ⋮ A general result on the approximation of local conservation laws by nonlocal conservation laws: the singular limit problem for exponential kernels ⋮ Controller design for heterogeneous traffic with bottleneck and disturbances ⋮ Convergence of a second-order scheme for non-local conservation laws ⋮ Singular limits with vanishing viscosity for nonlocal conservation laws ⋮ On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels
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