Lyapunov stability analysis for a discrete-time lattice hydrodynamic model with steady flow control

Shan Jiang, Wen-ze Xiong, Dong-bo Pan, Yu Zhang and Geng Zhang
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Shan Jiang: College of Computer and Information Science, Southwest University, Chongqing 400715, P. R. China
Wen-ze Xiong: ��Instrumentation Technology and Economy Institute (ITEI), Beijing 100055, P. R. China
Dong-bo Pan: ��College of Artificial Intelligence, Southwest University, Chongqing 400715, P. R. China
Yu Zhang: College of Computer and Information Science, Southwest University, Chongqing 400715, P. R. China
Geng Zhang: College of Computer and Information Science, Southwest University, Chongqing 400715, P. R. China

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 02, 1-11

Abstract: This paper put forward a new discrete-time lattice hydrodynamic model with a steady flow control strategy. The controlled discrete-time lattice hydrodynamic model is theoretically studied by the discrete-time Lyapunov stability theory, and a sufficient stable condition to suppress traffic congestion is given in the form of linear matrix inequality. Also, the traffic flow evolution rules under different conditions of control gain are exhibited through numerical simulation, and the stabilization effect of the steady flow control strategy on traffic flow is verified intuitively.

Keywords: Lattice hydrodynamic model; Lyapunov stability; discrete-time system (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0129183122500292

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