Global Synchronization of Fuzzy Memristive Neural Networks With Discrete and Distributed Delays

2020 ◽  
Vol 28 (9) ◽  
pp. 2022-2034 ◽  
Author(s):  
Leimin Wang ◽  
Haibo He ◽  
Zhigang Zeng
Keyword(s):  
Neural Networks ◽  
Distributed Delays ◽  
Memristive Neural Networks ◽  
Global Synchronization

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.

scholarly journals Global exponential synchronization of quaternion-valued memristive neural networks with time delays

2020 ◽  
Vol 25 (1) ◽  
Author(s):  
Ruoyu Wei ◽  
Jinde Cao
Keyword(s):  
Neural Networks ◽  
Differential Inclusion ◽  
Lyapunov Functional ◽  
Time Delays ◽  
Exponential Synchronization ◽  
The Other ◽  
Memristive Neural Networks ◽  
Global Synchronization ◽  
New Class ◽  
Inequality Techniques

This paper extends the memristive neural networks (MNNs) to quaternion field, a new class of neural networks named quaternion-valued memristive neural networks (QVMNNs) is then established, and the problem of drive-response global synchronization of this type of networks is investigated in this paper. Two cases are taken into consideration: one is with the conventional differential inclusion assumption, the other without. Criteria for the global synchronization of these two cases are achieved respectively by appropriately choosing the Lyapunov functional and applying some inequality techniques. Finally, corresponding simulation examples are presented to demonstrate the correctness of the proposed results derived in this paper.

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