Novel criteria of synchronization stability in complex networks with coupling delays |
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| Authors: | Qing Yun Wang Guan Rong Chen Qi Shao Lu Fei Hao |
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| Institution: | 1. Inner Mongolia Finance and Economics College, Huhhot 010051, China;2. School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;3. Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China |
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| Abstract: | Complex networks are wide spread in the real world, arising in fields as disparate as sociology, physics and biology. The information spreading through a complex network is often associated with time delays due to the finite speeds of signal transmission over a distance. Hence, complex networks with coupling delays have gained increasing attention in various fields of science and engineering today. In this paper, based on the theory of asymptotic stability of linear time-delay systems, synchronization stability in complex dynamical networks with coupling delays is investigated, and we derive novel criteria of synchronization state for both delay-independent and delay-dependent stabilities. As illustrative examples, we use the networks with coupling delays and a given coupling scheme to test the theoretical results. |
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| Keywords: | Complex networks Coupling delays Synchronization stability |
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