Delay tolerance for stochastic complex networks

Abstract

In this paper, we investigate the delay tolerance for stochastic complex networks (SCNs, in short) under Lyapunov conditions. Based on global Lipschitz coefficients, we show that when the SCN without delay is pth moment exponentially stable, the system with small delays is still pth moment exponentially stable. In addition, we also give the explicit delay bounds. An example is provided to demonstrate the obtained results.

Keywords:

• Stochastic complex network
• delay tolerance
• exponentially stability

Acknowledgments

The authors are deeply grateful to the editor and anonymous referees for the careful reading, valuable comments, and correcting some errors, which have greatly improved the quality of this paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the National Natural Science Foundation of China (11871076) and the Natural Science Foundation of Anhui Province (2108085MA05).