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Stability analysis of impulsive parabolic complex networks

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  • Wang, Jin-Liang
  • Wu, Huai-Ning

Abstract

In the present paper, two kinds of impulsive parabolic complex networks (IPCNs) are considered. In the first one, all nodes have the same time-varying delay. In the second one, different nodes have different time-varying delays. Using the Lyapunov functional method combined with the inequality techniques, some global exponential stability criteria are derived for the IPCNs. Furthermore, several robust global exponential stability conditions are proposed to take uncertainties in the parameters of the IPCNs into account. Finally, numerical simulations are presented to illustrate the effectiveness of the results obtained here.

Suggested Citation

  • Wang, Jin-Liang & Wu, Huai-Ning, 2011. "Stability analysis of impulsive parabolic complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 44(11), pages 1020-1034.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:11:p:1020-1034
    DOI: 10.1016/j.chaos.2011.08.005
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