Affiliation:
1. College of Information Engineering Shanghai Maritime University Shanghai China
2. Key Laboratory of Intelligent Perception and Image Understanding Xidian University Xi'an China
Abstract
AbstractIn this paper, finite‐time cluster synchronization (FTCS) in networks of nonidentical coupled dynamical systems is addressed by introducing a discontinuous interaction rule. This interaction rule overcomes the effect of heterogeneous dynamics among nodes. It is proven that with proper coupling gain, the dynamics of the coupled system converges into the kernal space of the graph Laplacian matrix in finite time. Then sufficient conditions for FTCS are provided. In addition, the discontinuous interactions rule is applied to investigate finite‐time intra‐layer synchronization in multiplex networks.
Funder
National Natural Science Foundation of China
Publisher
Institution of Engineering and Technology (IET)
Subject
Electrical and Electronic Engineering,Control and Optimization,Computer Science Applications,Human-Computer Interaction,Control and Systems Engineering
Cited by
5 articles.
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