Work

Boundary Control of Multidimensional Discrete-Velocity Kinetic Models

Year: 2025

Type: article

Abstract: This technical note is concerned with boundary stabilization of multidimensional discrete-velocity kinetic models. By exploiting a certain stability structure of the models and adapting an appropriate Lyapunov functional, we derive feasible control laws so that the corresponding solutions decay exponentially in time. The result is illustrated with an application to the 2-D coplanar model in a square container. The effectiveness of the derived control laws is confirmed by numerical simulations.

Source: IEEE Transactions on Automatic Control

DOI: 10.1109/tac.2025.3555944

Authors: Haitian Yang, Wen-An Yong

Institution: Tsinghua University

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G5684507439