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| Pinning control of complex networks with nonlinearly time-varying delay coupling |
| (1.School of Finance ＆ Economics, Jiangsu University, Zhenjiang, Jiangsu 212013, China; 2.Department of Mathematics and Physics, Changzhou Campus, Hohai University, Changzhou, Jiangsu 213022, China； 3. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China) |
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Abstract The synchronization of complex network with nonlinearly time-varying coupling was investigated, and pinning control was adopted to synchronize complex dynamical network with nonlinearly time-varying coupling. The simple controllers were designed for the coupling configuration reducible matrix and irreducible matrix. It was proved that the dynamical network could be synchronous with one isolated node by adding the controllers only into a small subset of the nodes. Based on Lyapunov stability theory and a linear matrix inequality (LMI), some sufficient synchronization conditions were derived. Numerical simulation examples were provided to verify the correctness and effectiveness of the proposed scheme by a new chaotic system.
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2012, Vol. 33 
