Delay feedback impulsive control of a time-delay nonlinear complex financial networks
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Complex networks theory has been applied in various field. Many scholars devoted it to financial system and established a nonlinear complex financial networks model. In this paper, delay feedback impulsive control of a time-delay nonlinear complex financial networks is discussed. Based on the Lyapunov stability theory and the impulsive differential equation stability theory, the asymptotic stability and ideal equilibrium point of complex financial networks are obtained. As a result, the complex financial networks have reached a new level of sustainable stability. The simulation results show the feasibility and effectiveness of the proposed control method and verify the correctness of the proposed theoretical analysis.
KeywordsImpulsive control Nonlinear complex financial networks Time-delay feedback control Stability
PACS Nos.05.45.-a 05.45.Xt 89.65.Gh
This work was supported by the National Social Science Foundation of China (No. 18BJL073), the Key Scientific Research Projects of Higher Education Institutions of Henan Province (No. 18A120013), the Social Science Foundation of Education Department of Henan Province (No. 2019-ZZJH-202), and the Young Key Teachers Program of Higher Education Institutions of Henan Province (No. 2017GGJS193). Especially, thanks for the support of Jiangsu University and Zhengzhou Shengda University.