Network-based modeling and control of hybrid dynamic games with fixed event triggering mechanism

Yue Wu, Xiangyong Chen, Chunmei Wang, Jun-e Feng and Feng Zhao
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Yue Wu: School of Automation and Electrical Engineering, Linyi University, Linyi, Shandong 276005, P. R. China
Xiangyong Chen: School of Automation and Electrical Engineering, Linyi University, Linyi, Shandong 276005, P. R. China
Chunmei Wang: School of Automation and Electrical Engineering, Linyi University, Linyi, Shandong 276005, P. R. China
Jun-e Feng: ��School of Mathematics, Shandong University, Jinan, Shandong 250100, P. R. China
Feng Zhao: School of Automation and Electrical Engineering, Linyi University, Linyi, Shandong 276005, P. R. China

International Journal of Modern Physics C (IJMPC), 2025, vol. 36, issue 10, 1-11

Abstract: This paper mainly establishes the network-based evolution model for a class of hybrid dynamic games (HDG) systems by considering the fixed event-triggering mechanism. First, a general state-space model for HDG is introduced, and a seven-tuple representation for its normal form is established. Then we establish the directed network models, which include a tree network structure form and a multi-layer temporal model. Such network models present the advantages of evolution analysis on HDG. Finally, we use HDG example with the Lanchester equation to demonstrate the feasibility of the model and the reliability of its evolutionary process.

Keywords: Hybrid dynamic games (HDG); event-triggering moves; directed dynamic network model; evolutionary analysis; Lanchester equation (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0129183124420063

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