Fixed point and p-stability of T–S fuzzy impulsive reaction–diffusion dynamic neural networks with distributed delay via Laplacian semigroup

• Published in: Neurocomputing (Amsterdam) Vol. 335; pp. 170 - 184
• Main Authors: Rao, Ruofeng, Zhong, Shouming, Pu, Zhilin
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 28.03.2019
• Subjects: Contraction mapping theory; Distributed time-delays; Impulsive BAM neural networks; Laplacian semigroup; Reaction–diffusion; Takagi–Sugeno (T–S) fuzzy; Contraction mapping theory; Distributed time-delays; Laplacian semigroup; Takagi–Sugeno (T–S) fuzzy; Impulsive BAM neural networks; Reaction–diffusion
• ISSN: 0925-2312; 1872-8286
• DOI: 10.1016/j.neucom.2019.01.051

In this paper, some new p-stability criteria and boundedness results of reaction–diffusion BAM neural networks are derived by way of fixed point theorem, Laplacian semigroup theory and L∞-estimate technique, which are novel against those of the previous related literature. Since the T–S fuzzy impulsive reaction–diffusion neural networks was investigated by previous literature, the main difficulty of this paper is to find out a novel method to give simpler conclusions than existing results. Finally, a numerical example is presented to illustrate the effectiveness and feasibility of the proposed methods.