Exponential stabilization of inertial quaternion‐valued Cohen‐Grossberg neural networks: Lexicographical order method

2020 ◽  
Vol 30 (13) ◽  
pp. 5205-5220
Author(s):  
Ruoxia Li ◽  
Jinde Cao
Keyword(s):  
Neural Networks ◽  
Exponential Stabilization ◽  
Lexicographical Order ◽  
Order Method

Stabilization for a class of delayed switched inertial neural networks via non-reduced order method

2021 ◽  
pp. 014233122098594
Author(s):  
Xuan Chen ◽  
Dongyun Lin
Keyword(s):  
Neural Networks ◽  
Comparative Research ◽  
Lyapunov Functional ◽  
Sufficient Conditions ◽  
Global Stabilization ◽  
Order Method ◽  
Reduced Order ◽  
Global Asymptotic Stabilization ◽  
Inertial Neural Networks ◽  
Barbalat Lemma

This paper tackles the issue of global stabilization for a class of delayed switched inertial neural networks (SINN). Distinct from the frequently employed reduced-order technique, this paper studies SINN directly through non-reduced order method. By constructing a novel Lyapunov functional and using Barbalat Lemma, sufficient conditions for the global asymptotic stabilization issue and global exponential stabilization issue of the considered SINN are established. Numerical simulations further confirm the feasibility of the main results. The comparative research shows that global stabilization results of this paper complement and improve some existing work.

Pinning bipartite synchronization for inertial coupled delayed neural networks with signed digraph via non-reduced order method

2020 ◽  
Vol 129 ◽  
pp. 392-402
Author(s):  
Shanshan Chen ◽  
Haijun Jiang ◽  
Binglong Lu ◽  
Zhiyong Yu ◽  
Liang Li
Keyword(s):  
Neural Networks ◽  
Order Method ◽  
Reduced Order ◽  
Delayed Neural Networks ◽  
Signed Digraph
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