Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 22, Issue 7, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127412501763
Keywords
Pinning impulsive control; global exponential synchronization; complex networks; time-varying delay
Funding
- National Natural Science Foundation of China (NSFC) [61175119]
- Natural Science Foundation of Jiangsu Province of China [BK2010408]
- Huo Ying-Dong Foundation [132037]
- Alexander von Humboldt Foundation of Germany
- National Natural Science Foundation of China [11072059]
- Specialized Research Fund for the Doctoral Program of Higher Education [20110092110017]
- CityU [7002561]
- HKSAR [9041432]
- SUMO (EU)
- GSDP (EU)
- DFG [IRTG 1740]
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In this paper, a new impulsive control strategy, namely pinning impulsive control, is proposed for the stabilization problem of nonlinear dynamical networks with time-varying delay. In this strategy, only a small fraction of nodes is impulsively controlled to globally exponentially stabilize the whole dynamical network. By employing the Lyapunov method combined with the mathematical analysis approach as well as the comparison principle for impulsive systems, some criteria are obtained to guarantee the success of the global exponential stabilization process. The obtained criteria are closely related to the proportion of the controlled nodes, the impulsive strength, the impulsive interval and the time-delay. Numerical examples are given to demonstrate the effectiveness of the designed pinning impulsive controllers.
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