Global exponential stability of a class of retarded impulsive differential equations with applications

@article{Xia2009GlobalES,
  title={Global exponential stability of a class of retarded impulsive differential equations with applications},
  author={Yonghui Xia and P. Wong},
  journal={Chaos Solitons & Fractals},
  year={2009},
  volume={39},
  pages={440-453}
}
  • Yonghui Xia, P. Wong
  • Published 2009
  • Mathematics
  • Chaos Solitons & Fractals
  • Abstract This paper studies the dynamics of a class of retarded impulsive differential equations (IDE), which generalizes the delayed cellular neural networks (DCNN), delayed bidirectional associative memory (BAM) neural networks and some population growth models. Some sufficient criteria are obtained for the existence and global exponential stability of a unique equilibrium. When the impulsive jumps are absent, our results reduce to its corresponding results for the non-impulsive systems. The… CONTINUE READING
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    References

    SHOWING 1-10 OF 54 REFERENCES
    Global exponential stability of delayed cellular neural networks with impulses
    • 79
    Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays
    • 417
    Stability analysis of Hopfield-type neural networks
    • J. Juang
    • Mathematics, Computer Science
    • IEEE Trans. Neural Networks
    • 1999
    • 45
    Stability of artificial neural networks with impulses
    • K. Gopalsamy
    • Mathematics, Computer Science
    • Appl. Math. Comput.
    • 2004
    • 223
    Global stability analysis of a class of delayed cellular neural networks
    • 30