Abstract

In this paper, we prove the existence and uniqueness of the equilibrium solution of the system by using the M-matrix and the topological degree technique and study the boundedness and robustness of dynamics of reaction–diffusion high-order Markovian jump Cohen–Grossberg neural networks (CGNNs) with p-Laplacian diffusion, including the common reaction–diffusion CGNNs. The obtained criteria are applicable to computer Matlab LMI-toolbox, which is suitable for large-scale calculations of actual complex engineering. Finally, a numerical example demonstrates the effectiveness of the proposed method.

Details

Title
Boundedness and robust analysis of dynamics of nonlinear diffusion high-order Markovian jump time-delay system
Author
Rao, Ruofeng 1   VIAFID ORCID Logo  ; Zhong, Shouming 2 

1  Department of Mathematics, Chengdu Normal University, Chengdu, China 
2  College of Mathematics, University of Electronic Science and Technology of China, Chengdu, China 
Pages
1-29
Publication year
2018
Publication date
Nov 2018
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-018-1888-0
ProQuest document ID
2137091572
Copyright
Advances in Difference Equations is a copyright of Springer, (2018). All Rights Reserved., © 2018. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.