Fixed-time synchronization of fuzzy neutral-type BAM memristive inertial neural networks with proportional delays

In this paper, fixed-time synchronization (Fix-TS) of fuzzy neutral-type bidirectional associative memory memristive-inertial neural networks (FNT-BAM-MINNs) with proportional delays is investigated by non-reduced order method. First, a new lemma is proposed to solve the parameter mismatch of FNT-BAM-MINNs on the basis of differential inclusion theories and analysis methods. Second, the delay-dependent switched controller and the delay-dependent fuzzy switched controller are designed to reach the Fix-TS of the drive response FNT-BAM-MINNs, respectively. Based on fixed-time stability theory, inequality techniques and the new lemma, some delay-independent sufficient conditions are given to guarantee the Fix-TS of FNT-BAM-MINNs, which are easy to implement in practice. Furthermore, the settling time independent of the initial value is estimated. Finally, numerical examples indicate that our results are effective. (c) 2021 Elsevier Inc. All rights reserved.

Automated summary

This paper investigates the fixed-time synchronization of fuzzy neutral-type bidirectional associative memory memristive-inertial neural networks with proportional delays, utilizing a new lemma and controller design method. The study provides delay-independent sufficient conditions based on fixed-time stability theory and presents an estimate of settling time independent of initial values. Numerical examples demonstrate the effectiveness of the proposed approach.