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Equilibrium-pinning control for complex networks with inter-node coupling strength saturation improvement

Chen Huang (), Xinbiao Lu, Jun Zhou (), Huimin Qian (), Haoqian Huang () and Buzhi Qin ()
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Chen Huang: School of Energy and Electrical Engineering, Hohai University, Nanjing, Jiangsu 211100, P. R. China
Xinbiao Lu: School of Energy and Electrical Engineering, Hohai University, Nanjing, Jiangsu 211100, P. R. China
Jun Zhou: School of Energy and Electrical Engineering, Hohai University, Nanjing, Jiangsu 211100, P. R. China
Huimin Qian: School of Energy and Electrical Engineering, Hohai University, Nanjing, Jiangsu 211100, P. R. China
Haoqian Huang: School of Energy and Electrical Engineering, Hohai University, Nanjing, Jiangsu 211100, P. R. China
Buzhi Qin: #x2020;Department of Automation, Nanjing Polytechnic Institute, Nanjing, Jiangsu 210048, P. R. China

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 01, 1-14

Abstract: In most conventional complex network equilibrium-pinning control, all the network nodes are usually balanced by attaching at least one controller to each node of the concerned network. When the node number is huge and the inter-node connections are complex, this control strategy requires the ability to manipulate the inter-node coupling strength to grow rapidly and intensively. In practical applications, however, the inter-node coupling strength cannot be increased unlimitedly; as a matter of fact, the coupling strength cannot be further changed after reaching some saturation threshold. In this paper, by exploiting the improved coupling strength saturation function, we suggest a new pinning control strategy that makes the network reach its equilibrium-pinning point more effectively than the network with saturated coupling strength. Numerical examples are illustrated to show the effectiveness of the main results.

Keywords: Equilibrium point; pinning control; saturation; symbolic function (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0129183120500138

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