Projective synchronization for fractional-order memristor-based neural networks with time delays

2018 ◽  
Vol 31 (10) ◽  
pp. 6039-6054 ◽  
Author(s):  
Yajuan Gu ◽  
Yongguang Yu ◽  
Hu Wang
Keyword(s):  
Neural Networks ◽  
Fractional Order ◽  
Time Delays ◽  
Projective Synchronization

Mixed H∞ and passive projective synchronization for fractional-order memristor-based neural networks with time delays via adaptive sliding mode control

2017 ◽  
Vol 31 (14) ◽  
pp. 1750160 ◽  
Author(s):  
Shuai Song ◽  
Xiaona Song ◽  
Ines Tejado Balsera
Keyword(s):  
Neural Networks ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Time Delays ◽  
Closed Loop ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Adaptive Sliding Mode Control ◽  
Closed Loop System ◽  
Mode Control

This paper investigates the mixed [Formula: see text] and passive projective synchronization problem for fractional-order (FO) memristor-based neural networks with time delays. Our aim is to design a controller such that, though the unavoidable phenomena of time delay and external disturbances is fully considered, the resulting closed-loop system is stable with a mixed [Formula: see text] and passive performance level. By combining sliding mode control and adaptive control methods, a novel adaptive sliding mode control strategy is designed for the synchronization of time-delayed FO dynamic networks. Via the application of FO system stability theory, the projective synchronization conditions are addressed in terms of linear matrix inequalities. Based on the conditions, a desired controller which can guarantee the stability of the closed-loop system and also ensure a mixed [Formula: see text] and passive performance level is designed. Finally, two simulation examples are given to illustrate the effectiveness of the proposed method.

Novel results on projective synchronization of fractional-order neural networks with multiple time delays

2018 ◽  
Vol 117 ◽  
pp. 76-83 ◽  
Author(s):  
Weiwei Zhang ◽  
Jinde Cao ◽  
Ranchao Wu ◽  
Dingyuan Chen ◽  
Fuad E. Alsaadi
Keyword(s):  
Neural Networks ◽  
Fractional Order ◽  
Time Delays ◽  
Projective Synchronization ◽  
Multiple Time ◽  
Multiple Time Delays

Stability analysis of fractional-order Hopfield neural networks with time delays

2014 ◽  
Vol 55 ◽  
pp. 98-109 ◽  
Author(s):  
Hu Wang ◽  
Yongguang Yu ◽  
Guoguang Wen
Keyword(s):  
Neural Networks ◽  
Stability Analysis ◽  
Fractional Order ◽  
Time Delays ◽  
Hopfield Neural Networks
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