Global Dissipativity of Inertial Neural Networks with Proportional Delay via New Generalized Halanay Inequalities

2018 ◽  
Vol 48 (3) ◽  
pp. 1543-1561 ◽  
Author(s):  
Hongfei Li ◽  
Chuandong Li ◽  
Wei Zhang ◽  
Jing Xu
Keyword(s):  
Neural Networks ◽  
Proportional Delay ◽  
Inertial Neural Networks ◽  
Generalized Halanay Inequalities

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.

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