Stepanov stability for delayed Lotka–Volterra recurrent neural networks on time scales

Abstract

This paper studies the existence, uniqueness, asymptotic and $S^p$-globally exponential stability of Stepanov-like pseudo almost automorphic solution to Lotka–Volterra recurrent neural networks (LVRNNs) with time-varying delays on time scales by applying D-matrix theory, Banach fixed point theorem, constructing a suitable Lyapunov functional and the theory of time scales calculations. An example and simulations are given to prove the effectiveness of main theoretical results.

Keywords:

• Time scales
• Lotka–Volterra recurrent neural networks
• Stepanov-like pseudo almost automorphic solution
• global stability

MSCs (2010):

• 34N05
• 34C27
• 92B20
• 34D23

Disclosure statement

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