Novel robust exponential stability of Markovian jumping impulsive delayed neural networks of neutral-type with stochastic perturbation
type: Item
instance of: scholarly article
title: Novel robust exponential stability of Markovian jumping impulsive delayed neural networks of neutral-type with stochastic perturbation
zbMATH Open document ID: 1400.34114
DOI: 10.1155/2016/1492908
author: Yang Fang
author: Yunqi Yan
author: Ke-Lin Li
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: The robust exponential stability problem for a class of uncertain impulsive stochastic neural networks of neutral-type with Markovian parameters and mixed time-varying delays is investigated. By constructing a proper exponential-type Lyapunov-Krasovskii functional and employing Jensen integral inequality, free-weight matrix method, some novel delay-dependent stability criteria that ensure the robust exponential stability in mean square of the trivial solution of the considered networks are established in the form of linear matrix inequalities (LMIs). The proposed results do not require the derivatives of discrete and distributed time-varying delays to be 0 or smaller than 1. Moreover, the main contribution of the proposed approach compared with related methods lies in the use of three types of impulses. Finally, two numerical examples are worked out to verify the effectiveness and less conservativeness of our theoretical results over existing literature.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60J27
zbMATH DE Number: 6952792
Wikidata QID: Q59130984
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/1492908
OpenAlex ID: W2474788920
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description: scientific article; zbMATH DE number 6952792