摘要
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.
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.
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)
