global asymptotic synchronization
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Author(s):  
Shaofang Wang ◽  
Lixiang Li ◽  
Haipeng Peng ◽  
Yixian Yang ◽  
Mingwen Zheng

In this paper, we address the global asymptotic synchronization (GAS) problem of the Master-Slave fractional order multi-linked memristive neural networks (FOMMNNs). Firstly, we propose the FOMMNNs which incorporate the fractional calculus into multi-linked memristive neural networks (MMNNs) for the first time. Then, by utilizing the fractional differential inclusions and set-valued mapping theories, the addressed FOMMNNs with discontinuous state switching at the right-hand side and time-varying delays are converted into the continuous FOMMNNs. Under the frameworks of fractional Caputo derivative and fractional Fillipov solution, by the way of building up appropriate Lyapunov functionals and utilizing some synchronous analysis technology, several sufficient criteria ensuring that the Master-Slave FOMMNNs can realize global asymptotic synchronization (GAS) under two different state-feedback controllers are obtained.


2020 ◽  
Vol 25 (3) ◽  
Author(s):  
Xuejun Yi ◽  
Ling Ren ◽  
Zhengqiu Zhang

In this paper, we are concerned with global asymptotic synchronization of Duffing-type oscillator system. Without using matrix measure theory, graph theory and LMI method, which are recently widely applied to investigating global exponential/asymptotic synchronization for dynamical systems and complex networks, four novel sufficient conditions on global asymptotic synchronization for above system are acquired on the basis of constant variation method, integral factor method and integral inequality skills. 


2020 ◽  
Vol 53 (2) ◽  
pp. 5819-5824
Author(s):  
R. Bertollo ◽  
E. Panteley ◽  
R. Postoyan ◽  
L. Zaccarian

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Jin-E Zhang

Memristive regulatory-type networks are recently emerging as a potential successor to traditional complementary resistive switch models. Qualitative analysis is useful in designing and synthesizing memristive regulatory-type networks. In this paper, we propose several succinct criteria to ensure global asymptotic stability and global asymptotic synchronization for a general class of memristive regulatory-type networks. The experimental simulations also show the performance of theoretical results.


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