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| Received:September 05, 2007 |
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| Comparison between pinning control of different chaotic complex dynamical networks |
| Linying XIANG, Zhongxin LIU, Zengqiang CHEN, Fei CHEN, Ge GUO, Zhuzhi YUAN |
| (Department of Automation, Nankai University, Tianjin 300071, China;Institute of Systems and Control, School of Automation and Electric Engineering, Dalian Maritime University, Dalian Liaoning 116026, China) |
| Abstract: |
| The stabilization properties of various typical complex dynamical networks composed of chaotic nodes are theoretically investigated and numerically simulated in detail. Some local stability properties of such pinned networks are derived and the valid stability regions are estimated based on eigenvalue analysis. Numerical simulations of such networks are given to explain why significantly less local controllers are needed by the specifically pinning scheme, which pins the most highly connected nodes in scale-free networks, than that required by the randomly pinning scheme. Also, it is explained why there is no significant difference between the two schemes for controlling random-graph networks and small-world networks. |
| Key words: Complex dynamical network Specifically pinning control Randomly pinning control Lorenz system Chaotic |
