pth moment exponential stability of stochastic memristor-based bidirectional associative memory (BAM) neural networks with time delays

2018 ◽  
Vol 98 ◽  
pp. 192-202 ◽  
Author(s):  
Fen Wang ◽  
Yuanlong Chen ◽  
Meichun Liu
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Associative Memory ◽  
Time Delays ◽  
Bam Neural Networks ◽  
Bidirectional Associative Memory ◽  
Pth Moment Exponential Stability ◽  
Moment Exponential Stability

Global exponential stability analysis of anti-periodic solutions of discontinuous bidirectional associative memory (BAM) neural networks with time-varying delays

2020 ◽  
Vol 21 (7-8) ◽  
pp. 807-820
Author(s):  
Xiangying Fu ◽  
Fanchao Kong
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Periodic Solutions ◽  
Associative Memory ◽  
Time Varying ◽  
Bam Neural Networks ◽  
Bidirectional Associative Memory ◽  
Globally Exponential Stability ◽  
Discontinuous Activations ◽  
Neural Network System

AbstractThis paper is concerned with a class of bidirectional associative memory (BAM) neural networks with discontinuous activations and time-varying delays. Under the basic framework of differential inclusions theory, the existence result of solutions in sense of Filippov solution is firstly established by using the fundamental solution matrix of coefficients and inequality analysis technique. Also, the boundness of the solutions can be estimated. Secondly, based on the non-smooth Lyapunov-like approach and by construsting suitable Lyapunov–Krasovskii functionals, some new sufficient criteria are given to ascertain the globally exponential stability of the anti-periodic solutions for the proposed neural network system. Furthermore, we have collated our effort with some previous existing ones in the literatures and showed that it can take more advantages. Finally, two examples with numerical simulations are exploited to illustrate the correctness.

Exponential stability of high-order bidirectional associative memory neural networks with time delays

2004 ◽  
Vol 199 (3-4) ◽  
pp. 425-436 ◽  
Author(s):  
Jinde Cao ◽  
Jinling Liang ◽  
James Lam
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Associative Memory ◽  
Time Delays ◽  
High Order ◽  
Bidirectional Associative Memory

Global Exponential Stability of Bidirectional Associative Memory Neural Networks With Time Delays

2008 ◽  
Vol 19 (3) ◽  
pp. 397-407 ◽  
Author(s):  
Xin-Ge Liu ◽  
R.R. Martin ◽  
Min Wu ◽  
Mei-Lan Tang
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Associative Memory ◽  
Time Delays ◽  
Global Exponential Stability ◽  
Bidirectional Associative Memory
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