Existence and global exponential stability of anti-periodic solutions of high-order bidirectional associative memory (BAM) networks with time-varying delays on time scales

Abstract

In this paper, high-order bidirectional associative memory (BAM) networks with time-varying delays on time scales are investigated. With the help of the time scale calculus theory, differential inequality theory, some analysis skills and the Liapunov functional method, a set of sufficient conditions ensuring the existence and exponential stability of anti-periodic solutions for the high-order BAM neural network with time-varying delays are obtained. Our results are new and complement some previously known ones. Moreover, a numerical example is presented to verify the theoretical results.