Delay-Dependent Stability Criteria for Reaction–Diffusion Neural Networks With Time-Varying Delays

@article{Ma2013DelayDependentSC,
  title={Delay-Dependent Stability Criteria for Reaction–Diffusion Neural Networks With Time-Varying Delays},
  author={Qian Ma and Gang Feng and Shengyuan Xu},
  journal={IEEE Transactions on Cybernetics},
  year={2013},
  volume={43},
  pages={1913-1920}
}
This paper studies the global asymptotic stability problem of a class of reaction-diffusion neural networks with time-varying delays. To overcome the difficulty caused by the partial differential term, a novel Lyapunov-Krasovskii functional is proposed, and a partial differential equation technique together with a linear operator approach are also applied to obtain the delay-dependent stability criteria, which are less conservative than the existing results. Finally, simulation examples are… CONTINUE READING