Title
Fixed-time Synchronization of Fractional Order Memristive MAM Neural Networks by Sliding Mode Control
Abstract
In this paper, we first established the fractional order memristive multidirectional associative memory neural networks (FMMAMNNs) model, and then considered its fixed-time synchronization control problem. On the basis of sliding model control and Lyapunov stability theorem, a fractional order sliding mode controller is constructed. By adding this controller to the response system, the error of the driver-response systems gradually converges to 0 in a fixed time. Compared with the previous researches, this paper considers a more complex model, and the proposed control theories can ensure that the setting time is only related to the model and controller, but not to the initial states of the system. Besides, the control theories are also applicable to the integer order models. Finally, two numerical simulations are given, the results show the validity of the theories.
Year
DOI
Venue
2020
10.1016/j.neucom.2020.03.043
Neurocomputing
Keywords
DocType
Volume
Fixed-time synchronization,Sliding mode control,Fractional order,Multidirectional associative memory neural networks,Memristor
Journal
401
ISSN
Citations 
PageRank 
0925-2312
1
0.34
References 
Authors
0
7
Name
Order
Citations
PageRank
Wang Weiping133563.84
Xiao Jia210.34
Zhen Wang3106085.86
Xiong Luo49617.06
Lixiang Li553346.82
Jürgen Kurths62000142.58
Manman Yuan7133.55