Cluster Synchronization of Nonlinearly Coupled Directed Network via Pinning Control Strategy

A state feedback control in conjunction with the theory of pining control for a class of directed complex network with non-identical dynamic systems is investigated, in which the coupling relationships between inter-acting nodes and intra-acting nodes are nonlinear and different. A novel pinning control scheme is derived and designed that guarantees the cluster synchronization for the nonlinearly coupled, directed complex network. The strategy describing how to choose pinning nodes as well as the relationships among the number of pinning nodes, the degree of pinning nodes and the coupling relationship have been fully investigated and established. An illustrative example along with the main simulation results is presented to demonstrate the effectiveness of the proposed pinning control scheme.IEEENational Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61473073, 61104074]; Fundamental Research Funds for the Central UniversitiesFundamental Research Funds for the Central Universities [N161702001]; Program for Liaoning Excellent Talents in University [LJQ2014028]; Fund for Science of Dogus UniversityThis work is supported by National Natural Science Foundation of China (61473073, 61104074), Fundamental Research Funds for the Central Universities (N161702001), and Program for Liaoning Excellent Talents in University (LJQ2014028). In part, it was also supported by Fund for Science of Dogus University

Cluster Synchronization of Nonlinearly Coupled Directed Network via Pinning Control Strategy?

A state feedback control in conjunction with the theory of pining control for a class of directed complex network with non-identical dynamic systems is investigated, in which the coupling relationships between inter-acting nodes and intra-acting nodes are nonlinear and different. A novel pinning control scheme is derived and designed that guarantees the cluster synchronization for the nonlinearly coupled, directed complex network. The strategy describing how to choose pinning nodes as well as the relationships among the number of pinning nodes, the degree of pinning nodes and the coupling relationship have been fully investigated and established. An illustrative example along with the main simulation results is presented to demonstrate the effectiveness of the proposed pinning control scheme. © 2019 IEEE.National Natural Science Foundation of China, NSFC: 61104074, 61473073 Fundamental Research Funds for the Central Universities: N161702001 Program for Liaoning Innovative Talents in University: LJQ2014028* This work is supported by National Natural Science Foundation of China (61473073, 61104074), Fundamental Research Funds for the Central Universities (N161702001), and Program for Liaoning Excellent Talents in University (LJQ2014028). In part, it was also supported by Fund for Science of Dogus University