Novel stability of cellular neural networks with interval time-varying delay

@article{Hu2008NovelSO,
  title={Novel stability of cellular neural networks with interval time-varying delay},
  author={Liang Hu and Huijun Gao and Wei Xing Zheng},
  journal={Neural networks : the official journal of the International Neural Network Society},
  year={2008},
  volume={21 10},
  pages={1458-63}
}
In this paper, the asymptotic stability is investigated for a class of cellular neural networks with interval time-varying delay (that is, 0<h1<dt<h2). By introducing a novel Lyapunov functional with the idea of partitioning the lower bound h1 of the time-varying delay, a new criterion of asymptotic stability is derived in terms of a linear matrix inequality (LMI), which can be efficiently solved via standard numerical software. The criterion proves to be less conservative than most of the… CONTINUE READING