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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Shan Jiang & Wen-ze Xiong & Dong-bo Pan & Yu Zhang & Geng Zhang, 2022. "Lyapunov stability analysis for a discrete-time lattice hydrodynamic model with steady flow control," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(02), pages 1-11, February.
    • Handle: RePEc:wsi:ijmpcx:v:33:y:2022:i:02:n:s0129183122500292
    DOI: 10.1142/S0129183122500292
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