¹School of Business, Soochow University, 50 Donghuan Road, Suzhou 215021, China
²College of Management and Engineering, Nanjing University of Finance and Economics, 3 Wenyuan Road, Nanjing 210046, China
³Center of Nonlinear Science, Jiangsu University, 301 Xuefu Road, Zhenjiang 212013, China

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Abstract—Complex networks have attracted increasing attention from various fields of science and engineering today. In this paper, with assuming irreduciblity and symmetry of the couplings, we prove that a single controller can pin a coupled complex network to a homogenous solution, which is investigated for both continuous-time and discrete-time cases. Sufficient conditions are presented to guarantee the convergence of the pinning process locally and globally. The efficiency of the derived-results are illustrated by numerical simulation.

Index Terms—Complex networks; Pin control; Continuous-time; Discrete-time

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Cite: Qunwei Wang, Shilong Ge, and Lin Jia, "Pinning Control of Complex Network by a Single Controller," Journal of Software vol. 7, no. 10, pp. 2258-2262, 2012.