Generalized matrix projective synchronization of general colored networks with different-dimensional node dynamics |
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| Authors: | Zhaoyan Wu Xinjian Xu Guanrong Chen Xinchu Fu |
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| Institution: | 1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China;2. Department of Mathematics, Shanghai University, Shanghai 200444, China;3. Institute of Systems Science, Shanghai University, Shanghai 200444, China;4. Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China |
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| Abstract: | This paper investigates the generalized matrix projective synchronization problem of general colored networks with different-dimensional node dynamics. A general colored network consists of colored nodes and edges, where the dimensions of colored node dynamics can be different in addition to the difference of the inner coupling matrices between any pair of nodes. For synchronizing a colored network onto a desired orbit with respect to the given matrices, open-plus-closed-loop controllers are designed. The closed-loop controllers are chosen as adaptive feedback and intermittent controllers, respectively. Based on the Lyapunov stability theory and mathematical induction, corresponding synchronization criteria are derived. Noticeably, many existing synchronization settings can be regarded as special cases of the present synchronization framework. Numerical simulations are provided to verify the theoretical results. |
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