Global exponential convergence of fuzzy complex-valued neural networks with time-varying delays and impulsive effects
type: Item
instance of: scholarly article
title: Global exponential convergence of fuzzy complex-valued neural networks with time-varying delays and impulsive effects
zbMATH Open document ID: 1402.34080
author: Peng Wan
author: Jigui Jian
published in: Fuzzy Sets and Systems
publication date: 2018-10-16T00:00:00Z
review text: In this paper, the global exponential convergence of T-S fuzzy complex-valued neural networks with time-varying delays and impulsive effects is considered. By employing Lyapunov's functional method and inequality technique, some sufficient conditions on the complex-valued linear matrix inequality form are obtained to ensure the global exponential convergence. Moreover, detailed estimations of the exponential convergence ball and the exponential convergence rate index are given. Finally, the effectiveness of the theoretical results is demonstrated via an illustrative example with simulations.
reviewed by: Andrej V. Plotnikov
Mathematics Subject Classification ID: 34K36
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 6955086
zbMATH Keywords: complex-valued neural network
zbMATH Keywords: convergence
zbMATH Keywords: T-S fuzzy model
zbMATH Keywords: time-varying delay
zbMATH Keywords: impulsive effect
zbMATH Keywords: complex-valued linear matrix inequality
MaRDI profile type: Publication
full work available at URL: j.fss.2017.12.001
OpenAlex ID: W2771930605
Wikidata QID: Q115574862
cites work: Complete stability of cellular neural networks with unbounded time-varying delays
cites work: An analysis of exponential stability of delayed neural networks with time varying delays
cites work: Asymptotic stability of BAM neural networks of neutral-type with impulsive effects and time delay in the leakage term
cites work: Global dissipativity of delayed neural networks with impulses
cites work: Fuzzy identification of systems and its applications to modeling and control
cites work: Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models
cites work: Stability analysis of fuzzy Markovian jumping Cohen-Grossberg BAM neural networks with mixed time-varying delays
cites work: Sampled-data filtering of Takagi-Sugeno fuzzy neural networks with interval time-varying delays
cites work: Robust exponential stability of uncertain fuzzy Cohen-Grossberg neural networks with time-varying delays
cites work: Robust asymptotic stability of uncertain fuzzy BAM neural networks with time-varying delays
cites work: Lagrange exponential stability for fuzzy Cohen-Grossberg neural networks with time-varying delays
cites work: Stability of complex-valued impulsive system with delay
cites work: Global exponential stability of complex-valued neural networks with both time-varying delays and impulsive effects
cites work: Global dissipativity of neural networks with both variable and unbounded delays
cites work: Global exponential stability in Lagrange sense for recurrent neural networks with both time-varying delays and general activation functions via LMI approach
cites work: Exponential convergence and Lagrange stability for impulsive Cohen-Grossberg neural networks with time-varying delays
cites work: Invariant set and attractivity of nonlinear differential equations with delays
DOI: 10.1016/J.FSS.2017.12.001
description: scientific article; zbMATH DE number 6955086