Existence and global exponential stability of anti-periodic solutions for generalised inertial competitive neural networks with time-varying delays

ABSTRACT

In this paper, a class of generalised inertial competitive neural networks with time-varying delays is proposed. The existence and global exponential stability of anti-periodic solutions for this class of neural networks are investigated. By using a continuation theorem of coincidence degree theory, the Wirtinger inequality and constructing an appropriate Lyapunov function, some sufficient conditions are derived to guarantee the existence, uniqueness, and global exponential stability of anti-periodic solutions for the considered networks. Our results are completely new.

KEYWORDS:

• Inertial term
• competitive neural network
• coincidence degree
• anti-periodic solution
• time-varying delay

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of People’s Republic of China under [Grant No. 11861072].