4.7 Article

Global exponential stability of discrete-time higher-order Cohen-Grossberg neural networks with time-varying delays, connection weights and impulses

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2021.05.020

Keywords

-

Funding

  1. National Natural Science Foundation of China [61703148, 61873306]
  2. Natural Science Foundation of Heilongjiang Province [LH2019F030]
  3. Outstanding Youth Fund of Heilongjiang University [JCL201903]

Ask authors/readers for more resources

This paper proposes a new method for establishing the stability of discrete-time high-order Cohen-Grossberg neural networks, achieving advantages over previous research by constructing a new model and deriving stability criteria.
In this paper, an auxiliary model-based nonsingular M-matrix approach is used to establish the global exponential stability of the zero equilibrium, for a class of discrete-time high-order Cohen-Grossberg neural networks (HOCGNNs) with time-varying delays, connection weights and impulses. A new impulse-free discrete-time HOCGNN with time-varying delays and connection weights is firstly constructed, and the relationship between the solutions of original systems and new HOCGNNs is indicated by a technical lemma. From which, the global exponential stability criteria for the zero equilibrium are derived by using an inductive idea and the properties of nonsingular M-matrices. The effectiveness of the obtained stability criteria is illustrated by numerical examples. Compared with the previous results, this paper has three advantages: (i) The Lyapunov-Krasovskii functional is not required; (ii) The obtained global exponential stability criteria are applied to check whether a matrix is a nonsingular M-matrix, which can be conveniently tested; (iii) The proposed approach applies to most of discrete-time system models with impulses and delays. (C) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available