Fixed Points and Exponential Stability for Impulsive Time-Delays BAM Neural Networks via LMI Approach and Contraction Mapping Principle

Abstract EN

The fixed point technique has been employed in the stability analysis of time-delays bidirectional associative memory (BAM) neural networks with impulse.

By formulating a contraction mapping in a product space, a new LMI-based exponential stability criterion was derived.

Lately, fixed point methods have educed various good results inspiring this work, but those criteria cannot be programmed by a computer.

In this paper, LMI conditions of the obtained result can be applicable to computer Matlab LMI toolbox which meets the need of the large-scale calculation in real engineering.

Moreover, a numerical example and a comparable table are presented to illustrate the effectiveness of the proposed methods.