Delay-dependent LMI-based robust stability criterion for discrete and distributed time-delays Markovian jumping reaction–diffusion CGNNs under Neumann boundary value

In this paper, variational methods, Lyapunov stability theory, Homomorphic mapping theory, M-matrix, H-matrix and linear matrix equality (LMI) technique are synthetically employed to obtain the LMI-based stochastically exponential robust stability criterion for a discrete and distributed time-delays...

Full description

Saved in:
Bibliographic Details
Published inNeurocomputing (Amsterdam) Vol. 171; pp. 1367 - 1374
Main Authors Pu, Zhilin, Rao, Ruofeng
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2016
Subjects
Distributed time-delays
Homomorphic mapping theory
Laplace diffusion
Lyapunov functional
M-matrix
Homomorphic mapping theory
M-matrix
Distributed time-delays
Lyapunov functional
Laplace diffusion
Online AccessGet full text

Cover

More Information
Summary:In this paper, variational methods, Lyapunov stability theory, Homomorphic mapping theory, M-matrix, H-matrix and linear matrix equality (LMI) technique are synthetically employed to obtain the LMI-based stochastically exponential robust stability criterion for a discrete and distributed time-delays Markovian jumping reaction–diffusion Cohen–Grossberg neural networks (CGNNs) with uncertain parameters. It is worth mentioning that the methods employed in this paper improve those of previous related literature to some extent, and the obtained stability criterion can be easily and efficiently computed by computer LMI toolbox. Moreover, a numerical example is presented to illustrate the effectiveness of the proposed methods thanks to the large allowable variation range of time-delays.
ISSN:0925-2312
1872-8286
DOI:10.1016/j.neucom.2015.07.063