Invariant and globally exponentially attractive sets of separated variables systems with time-varying delays

  • Authors:

  • Zhengwen Tu;Jigui Jian;Baoxian Wang

  • Affiliations:

  • Institute of Nonlinear and Complex Systems, China Three Gorges University, Yichang, Hubei, China;Institute of Nonlinear and Complex Systems, China Three Gorges University, Yichang, Hubei, China;Institute of Nonlinear and Complex Systems, China Three Gorges University, Yichang, Hubei, China

  • Venue:
  • ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
  • Year:
  • 2010

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Abstract

In this paper, we study the positive invariant set, and globally exponentially attractive set for a class of nonlinear separated variables systems with bounded time-varying delays Based on inequality techniques, the properties of non-negative matrices and vector Lyapunov function method, some algebraic criterions for the the above-mentioned sets are obtained Finally, one example is given to demonstrate our results.