Finite/Fixed-Time Anti-Synchronization of Inconsistent Markovian Quaternion-Valued Memristive Neural Networks With Reaction-Diffusion Terms

2021 ◽  
Vol 68 (1) ◽  
pp. 363-375
Author(s):  
Xiaona Song ◽  
Jingtao Man ◽  
Shuai Song ◽  
Choon Ki Ahn
Keyword(s):  
Neural Networks ◽  
Reaction Diffusion ◽  
Fixed Time ◽  
Memristive Neural Networks

Quasi fixed-time synchronization of memristive Cohen-Grossberg neural networks with reaction-diffusion

2020 ◽  
Vol 415 ◽  
pp. 74-83
Author(s):  
Fangmin Ren ◽  
Minghui Jiang ◽  
Hao Xu ◽  
Mengqin Li
Keyword(s):  
Neural Networks ◽  
Time Synchronization ◽  
Reaction Diffusion ◽  
Fixed Time

scholarly journals Global Synchronization of Reaction-Diffusion Fractional-Order Memristive Neural Networks with Time Delay and Unknown Parameters

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-14 ◽  
Author(s):  
Wenjiao Sun ◽  
Guojian Ren ◽  
Yongguang Yu ◽  
Xudong Hai
Keyword(s):  
Neural Networks ◽  
Time Delay ◽  
Fractional Order ◽  
Reaction Diffusion ◽  
Activation Function ◽  
Memristive Neural Networks ◽  
Unknown Parameters ◽  
Global Synchronization ◽  
Adaptive Controllers ◽  
Mapping Theory

This paper investigated the global synchronization of fractional-order memristive neural networks (FMNNs). To deal with the effect of reaction-diffusion and time delay, fractional partial and comparison theorem are introduced. Based on the set value mapping theory and Filippov solution, the activation function is extended to discontinuous case. Adaptive controllers with a compensator are designed owing to the existence of unknown parameters, with the help of Gronwall–Bellman inequality. Numerical simulation examples demonstrate the availability of the theoretical results.

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