Mean-square exponential input-to-state stability of stochastic fuzzy recurrent neural networks with multiproportional delays and distributed delays
type: Item
instance of: scholarly article
title: Mean-square exponential input-to-state stability of stochastic fuzzy recurrent neural networks with multiproportional delays and distributed delays
zbMATH Open document ID: 1427.93270
DOI: 10.1155/2018/6289019
author: Tianyu Wang
author: Quanxin Zhu
author: Jingwei Cai
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: We are interested in a class of stochastic fuzzy recurrent neural networks with multiproportional delays and distributed delays. By constructing suitable Lyapunov-Krasovskii functionals and applying stochastic analysis theory, It \(\hat{o} \)'s formula and Dynkin's formula, we derive novel sufficient conditions for mean-square exponential input-to-state stability of the suggested system. Some remarks and discussions are given to show that our results extend and improve some previous results in the literature. Finally, two examples and their simulations are provided to illustrate the effectiveness of the theoretical results.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 34K36
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 7019271
Wikidata QID: Q115521970
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6289019
OpenAlex ID: W2895416767
cites work: Existence-stability theorems for strong vector set-valued equilibrium problems in reflexive Banach spaces
cites work: GLOBAL ASYMPTOTIC STABILITY OF A GENERALIZED SIRS EPIDEMIC MODEL WITH TRANSFER FROM INFECTIOUS TO SUSCEPTIBLE
cites work: Further results on exponential stability for impulsive switched nonlinear time-delay systems with delayed impulse effects
cites work: New criteria for exponential stability of switched time-varying systems with delays and nonlinear disturbances
cites work: On the stability of a mixed functional equation deriving from additive, quadratic and cubic mappings
cites work: Q4927576
cites work: Uniform stability of the solution for a memory-type elasticity system with nonhomogeneous boundary control condition
cites work: Stability of steady-state solutions to Navier-Stokes-Poisson systems
cites work: On stability of F-Gorenstein flat categories.
cites work: Stabilization analysis of time-delay Hamiltonian systems in the presence of saturation
cites work: Orbital stability of solitary waves of the coupled Klein-Gordon-Zakharov equations
cites work: Stability of periodic steady-state solutions to a non-isentropic Euler-Maxwell system
cites work: Output feedback stabilization of stochastic feedforward systems with unknown control coefficients and unknown output function
cites work: Razumikhin-type theorem for stochastic functional differential equations with Lévy noise and Markov switching
cites work: Stabilizability analysis and switching signals design of switched Boolean networks
cites work: Representation of solution of a Riemann-Liouville fractional differential equation with pure delay
cites work: Further results on dissipativity and stability analysis of Markov jump generalized neural networks with time-varying interval delays
cites work: Numerical analysis for Navier-Stokes equations with time fractional derivatives
cites work: Finite‐time stability of a class of oscillating systems with two delays
cites work: Stability analysis and control synthesis for positive semi-Markov jump systems with time-varying delay
cites work: Orbital stability of periodic traveling wave solutions to the generalized Zakharov equations
cites work: Mean square global asymptotic stability of stochastic recurrent neural networks with distributed delays
cites work: Mean square exponential stability of stochastic nonlinear delay systems
cites work: Observer-based robust adaptive control for uncertain stochastic Hamiltonian systems with state and input delays
cites work: The Hyers-Ulam stability of a functional equation deriving from quadratic and cubic functions in quasi-\(\beta \)-normed spaces
cites work: Q5306676
cites work: Some new integral inequalities and their applications in studying the stability of nonlinear integro-differential equations with time delay
cites work: Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations
cites work: New insight into reachable set estimation for uncertain singular time-delay systems
cites work: \(\mathcal {L}_2\) disturbance attenuation for a class of time-delay Hamiltonian systems
cites work: Globally robust stability analysis for stochastic Cohen-Grossberg neural networks with impulse control and time-varying delays
cites work: Controller design for time-delay system with stochastic disturbance and actuator saturation via a new criterion
cites work: GLOBAL STABILITY ANALYSIS FOR A CLASS OF COHEN-GROSSBERG NEURAL NETWORK MODELS
cites work: Global asymptotic stability analysis for integro-differential systems modeling neural networks with delays
cites work: Mean square exponential stability of stochastic delay cellular neural networks
cites work: Exponential stability analysis of travelling waves solutions for nonlinear delayed cellular neural networks
cites work: Exponential and almost sure exponential stability of stochastic fuzzy delayed Cohen-Grossberg neural networks
cites work: Robust exponential stability of uncertain fuzzy Cohen-Grossberg neural networks with time-varying delays
description: scientific article; zbMATH DE number 7019271