Convergence of Delayed Dynamical Systems

In this paper, we point out that the conditions given in [1] are sufficient but unnecessary for the global asymptotically stable equilibrium of a class of delay differential equations. Instead, we prove that under weaker conditions, it is still global asymptotically stable.

[1]  K. Gopalsamy,et al.  Convergence under dynamical thresholds with delays , 1997, IEEE Trans. Neural Networks.