On Robust Stability and Stabilization of Networked Evolutionary Games with Time Delays

Qiguang An, Hongfeng Guo and Yating Zheng
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Qiguang An: School of Statistics and Mathematics, Shandong University of Finance and Economics, Jinan 250014, China
Hongfeng Guo: School of Statistics and Mathematics, Shandong University of Finance and Economics, Jinan 250014, China
Yating Zheng: School of Statistics and Mathematics, Shandong University of Finance and Economics, Jinan 250014, China

Mathematics, 2022, vol. 10, issue 15, 1-12

Abstract: This paper investigates the robust stability and stabilization of networked evolutionary games (NEGs) with time delays. First, a mathematical model is presented to describe the dynamics of NEG with time-varying delays and disturbances. Second, an auxiliary system is constructed using the semi-tensor product of matrices and a dimension augmenting technique. Then, a verification condition of robust stability is derived. Third, in order to stabilize NEG to the Nash equilibrium, the robust stability problem is transformed into the robust stabilization problem. Moreover, an algorithm is proposed to design the stabilization controller. Finally, the validity of the results is verified by an example.

Keywords: disturbance; networked evolutionary games; semi-tensor product of matrices; robust stability and stabilization; time delays (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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