Synchronization in complex networks with switching topology |
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Authors: | Lei Wang Qing-guo Wang |
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Affiliation: | a School of Mathematics and Systems Science and LMIB, Beihang University, Beijing 100191, PR China b Department of Electrical and Computer Engineering, National University of Singapore, Singapore 119260, Singapore |
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Abstract: | This Letter investigates synchronization issues of complex dynamical networks with switching topology. By constructing a common Lyapunov function, we show that local and global synchronization for a linearly coupled network with switching topology can be evaluated by the time average of second smallest eigenvalues corresponding to the Laplacians of switching topology. This result is quite powerful and can be further used to explore various switching cases for complex dynamical networks. Numerical simulations illustrate the effectiveness of the obtained results in the end. |
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Keywords: | Synchronization Complex networks Switching topology Common Lyapunov function |
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