Finite-Time and Fixed-Time Synchronization of Coupled Memristive Neural Networks With Time Delay

This article is devoted to analyzing the finite-time and fixed-time synchronization of coupled memristive neural networks with time delays. The synchronization is leaderless rather than leader-follower as the tracking targets are uncertain. By designing a proper controller and using the Lyapunov met...

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Bibliographic Details
Published in:IEEE transactions on cybernetics 2021-06, Vol.51 (6), p.2944-2955
Main Authors: Gong, Shuqing, Guo, Zhenyuan, Wen, Shiping, Huang, Tingwen
Format: Article
Language:English
Subjects:
Control systems design
Delay effects
Finite-time synchronization
fixed-time synchronization
Lyapunov methods
memristive neural network
Neural networks
Synchronization
time delay
Time lag
Time synchronization
Topology
Tracking
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Summary:This article is devoted to analyzing the finite-time and fixed-time synchronization of coupled memristive neural networks with time delays. The synchronization is leaderless rather than leader-follower as the tracking targets are uncertain. By designing a proper controller and using the Lyapunov method, several sufficient conditions are obtained to achieve the finite-time and fixed-time synchronization of coupled memristive neural networks by introducing a class of special auxiliary matrices. Moreover, the settling times can be estimated for finite-time synchronization that depends on the initial values as well as fixed-time synchronization that is uniformly bounded for any initial values. Finally, two examples are presented to substantiate the effectiveness of the theoretical results.
ISSN:2168-2267
2168-2275
DOI:10.1109/TCYB.2019.2953236