Positivity and stability of coupled differential-difference equations with time-varying delays

@article{Shen2015PositivityAS,
  title={Positivity and stability of coupled differential-difference equations with time-varying delays},
  author={Jun Shen and Wei Xing Zheng},
  journal={Automatica},
  year={2015},
  volume={57},
  pages={123-127}
}
This paper studies the asymptotic stability of a special class of coupled delay differential–difference equations with internal positive property. An explicit characterization on the positivity of coupled differential–difference equations is firstly given. Then, based on the positivity of coupled differential–difference equations with constant delays, we investigate the entrywise monotonicity and asymptotic property of their state trajectories starting from appropriately chosen initial… CONTINUE READING
Recent Discussions
This paper has been referenced on Twitter 1 time over the past 90 days. VIEW TWEETS

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 23 references

Stability analysis and synthesis for linear positive systemswith time-varying delays

  • M. Ait Rami
  • In Lecture notes in control and information…
  • 2009
Highly Influential
4 Excerpts

Small gain problem in coupled differen

  • Y. Zhang, S. Xu
  • differential-functional equations. Automatica,
  • 2011

Similar Papers

Loading similar papers…