LMI-based stability criterion for impulsive delays Markovian jumping time-delays reaction-diffusion BAM neural networks via Gronwall-Bellman-type impulsive integral inequality
type: Item
instance of: scholarly article
title: LMI-based stability criterion for impulsive delays Markovian jumping time-delays reaction-diffusion BAM neural networks via Gronwall-Bellman-type impulsive integral inequality
zbMATH Open document ID: 1394.93350
DOI: 10.1155/2015/185854
author: Shouming Zhong
author: Ruofeng Rao
author: Xiongrui Wang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Lyapunov stability theory, variational methods, Gronwall-Bellman-type inequalities theorem, and linear matrices inequality (LMI) technique are synthetically employed to obtain the LMI-based global stochastic exponential stability criterion for a class of time-delays Laplace diffusion stochastic equations with large impulsive range under Dirichlet boundary value, whose backgrounds of physics and engineering are the impulsive Markovian jumping time-delays reaction-diffusion BAM neural networks. As far as the authors know, it is the first time to derive the LMI-based criterion by way of Gronwall-Bellman-type inequalities, which can be easily and efficiently computed by computer Matlab LMI toolbox. And the obtained criterion improves the allowable upper bounds of impulse against those of some previous related literature. Moreover, a numerical example is presented to illustrate the effectiveness of the proposed methods.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 34D23
Mathematics Subject Classification ID: 60J27
Mathematics Subject Classification ID: 68T05
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 6925704
Wikidata QID: Q59117526
describes a project that uses: LMI toolbox
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/185854
OpenAlex ID: W1538621176
cites work: Global exponential stability of BAM neural networks with time-varying delays and diffusion terms
cites work: Exponential stability for impulsive BAM neural networks with time-varying delays and reaction-diffusion terms
cites work: Stochastic stability criteria with LMI conditions for Markovian jumping impulsive BAM neural networks with mode-dependent time-varying delays and nonlinear reaction-diffusion
cites work: Global exponential stability and existence of periodic solutions for delayed reaction-diffusion BAM neural networks with Dirichlet boundary conditions
cites work: Global exponential synchronization of delayed BAM neural networks with reaction-diffusion terms and the Neumann boundary conditions
cites work: Stochastic exponential stability of the delayed reaction-diffusion recurrent neural networks with Markovian jumping parameters
cites work: Q3995625
cites work: Dynamic analysis of Markovian jumping impulsive stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays
cites work: Stochastic finite-time boundedness for Markovian jumping neural networks with time-varying delays
cites work: Stabilization of a class of stochastic differential equations with Markovian switching
cites work: Delay-dependent stochastic stability criteria for Markovian jumping neural networks with mode-dependent time-varying delays and partially known transition rates
cites work: Stochastic stability of neural networks with both Markovian jump parameters and continuously distributed delays
cites work: Dynamical behaviors of impulsive reaction-diffusion Cohen-Grossberg neural network with delays
cites work: Stability criteria for impulsive reaction-diffusion Cohen-Grossberg neural networks with time-varying delays
cites work: \(P\)th moment exponential stability of impulsive stochastic neural networks with mixed delays
cites work: Delay-dependent exponential stability for nonlinear reaction-diffusion uncertain Cohen-Grossberg neural networks with partially known transition rates via Hardy-Poincaré inequality
cites work: Generalized Gronwall-Bellman-type delay dynamic inequalities on time scales and their applications
cites work: Exponential stabilization of a class of nonlinear systems: a generalized Gronwall-Bellman lemma approach
cites work: Gronwall-Bellman type nonlinear delay integral inequalities on time scales
cites work: Delay-dependent stability criterion of Caputo fractional neural networks with distributed delay
cites work: Delay-dependent exponential stability for impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms
cites work: Synchronization for delayed memristive BAM neural networks using impulsive control with random nonlinearities
cites work: Sobolev Spaces
cites work: On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
cites work: Exponential stability of delayed recurrent neural networks with Markovian jumping parameters
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: Novel stability criteria for impulsive delayed reaction-diffusion Cohen-Grossberg neural networks via Hardy-Poincaré inequality
description: scientific article; zbMATH DE number 6925704