New conditions for global exponential stability of cellular neural networks with delays

@article{Zhao2005NewCF,
  title={New conditions for global exponential stability of cellular neural networks with delays},
  author={Hongyong Zhao and Jinde Cao},
  journal={Neural networks : the official journal of the International Neural Network Society},
  year={2005},
  volume={18 10},
  pages={1332-40}
}
In this paper, we study further a class of cellular neural networks model with delays. By employing the inequality api(m)(k=1)1 b(q(k))(k) <or= 1/r sigma(m)(k=1) q(k)b(r)(k) + 1/r a(r) (a >or=0, b(k) >or=0, q(k) > 0 with sigma(m)(k=1) q(k) = r-1, and r > 1), constructing a new Lyapunov functional, and applying the Homeomorphism theory, we derive some new… CONTINUE READING