In this paper, cluster synchronization in community network with nonidentical nodes is investigated. By combining intermittency with a pinning control scheme, some effective controllers are designed. In the control sc...In this paper, cluster synchronization in community network with nonidentical nodes is investigated. By combining intermittency with a pinning control scheme, some effective controllers are designed. In the control scheme, only one node in each community is controlled and coupling weights of a spanning tree in each community are enhanced. Based on the Lyapunov function method and mathematical analysis technique, two results for achieving cluster synchronization are obtained. Noticeably, by introducing an adaptive strategy, some universal adaptive intermittent pinning controllers are designed for different networks. Finally, two numerical simulations are performed to verify the correctness of the derived results.展开更多
The interactions of a colored dynamical network play a great role in its dynamical behaviour and are denoted by outer and inner coupling matrices. In this paper, the outer and inner coupting matrices are assumed to be...The interactions of a colored dynamical network play a great role in its dynamical behaviour and are denoted by outer and inner coupling matrices. In this paper, the outer and inner coupting matrices are assumed to be unknown and need to be identified. A corresponding network estimator is designed for identifying the unknown interactions by adopting proper adaptive laws. Based on the Lyapunov function method and Barbalat＇s lemma, the obtained result is analytically proved. A colored network coupled with chaotic Lorenz, Chen, and Lii systems is considered as a numerical example to illustrate the effectiveness of the proposed method.展开更多
基金Project supported jointly by the National Natural Science Foundation of China(Grant No.61463022)the Natural Science Foundation of Jiangxi Province of China(Grant No.20132BAB201016)+1 种基金the Natural Science Foundation of Jiangxi Educational Committee,Jiangxi Province,China(Grant No.GJJ14273)the Graduate Innovation Fund of Jiangxi Normal University(Grant No.YJS2014061)
文摘In this paper, cluster synchronization in community network with nonidentical nodes is investigated. By combining intermittency with a pinning control scheme, some effective controllers are designed. In the control scheme, only one node in each community is controlled and coupling weights of a spanning tree in each community are enhanced. Based on the Lyapunov function method and mathematical analysis technique, two results for achieving cluster synchronization are obtained. Noticeably, by introducing an adaptive strategy, some universal adaptive intermittent pinning controllers are designed for different networks. Finally, two numerical simulations are performed to verify the correctness of the derived results.
基金supported by the National Natural Science Foundation of China(Grant No.61463022)the Natural Science Foundation of Jiangxi Educational Committee,China(Grant No.GJJ14273)the Graduate Innovation Fund of Jiangxi Normal University,China(Grant No.YJS2014061)
文摘The interactions of a colored dynamical network play a great role in its dynamical behaviour and are denoted by outer and inner coupling matrices. In this paper, the outer and inner coupting matrices are assumed to be unknown and need to be identified. A corresponding network estimator is designed for identifying the unknown interactions by adopting proper adaptive laws. Based on the Lyapunov function method and Barbalat＇s lemma, the obtained result is analytically proved. A colored network coupled with chaotic Lorenz, Chen, and Lii systems is considered as a numerical example to illustrate the effectiveness of the proposed method.
