Dissipativity Analysis for Neural Networks With Time-Varying Delays Based on Augmented Second-Order Delay-Product-Type Functionals

Dissipativity Analysis for Neural Networks With Time-Varying Delays Based on Augmented Second-Order Delay-Product-Type Functionals

This paper investigates the problem of dissipativity of a class of neural networks with timevarying delays. First, a suitable augmented Lyapunov functional containing the second-order delay-product term is constructed. Based on the integral inequality method and the recently developed relaxed quadra...

Full description

Bibliographic Details
Main Authors: Hui-Chao Lin, Wei Wang, Hui-Qin Xiao
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Neural networks
delay-product-type Lyapunov-Krasovskii functional
dissipativity
time-varying delays
Online Access:https://ieeexplore.ieee.org/document/9181565/
id doaj-9ee87ed8900345498aadefd8d1d92785
record_format Article
spelling doaj-9ee87ed8900345498aadefd8d1d927852021-03-30T03:56:13ZengIEEEIEEE Access2169-35362020-01-01817115417116110.1109/ACCESS.2020.30206429181565Dissipativity Analysis for Neural Networks With Time-Varying Delays Based on Augmented Second-Order Delay-Product-Type FunctionalsHui-Chao Lin0https://orcid.org/0000-0003-1113-2423Wei Wang1https://orcid.org/0000-0003-3457-9324Hui-Qin Xiao2https://orcid.org/0000-0002-0957-2502School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, ChinaSchool of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, ChinaSchool of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, ChinaThis paper investigates the problem of dissipativity of a class of neural networks with timevarying delays. First, a suitable augmented Lyapunov functional containing the second-order delay-product term is constructed. Based on the integral inequality method and the recently developed relaxed quadratic function negative-determination lemma, a strictly (Q, S, Z)-γ-dissipative criterion is derived in forms of linear matrix inequality (LMI). Finally, a numerical example is used to verify the advantages of the proposed method.https://ieeexplore.ieee.org/document/9181565/Neural networksdelay-product-type Lyapunov-Krasovskii functionaldissipativitytime-varying delays
collection DOAJ
language English
format Article
sources DOAJ
author Hui-Chao Lin
Wei Wang
Hui-Qin Xiao
spellingShingle Hui-Chao Lin
Wei Wang
Hui-Qin Xiao
Dissipativity Analysis for Neural Networks With Time-Varying Delays Based on Augmented Second-Order Delay-Product-Type Functionals
IEEE Access
Neural networks
delay-product-type Lyapunov-Krasovskii functional
dissipativity
time-varying delays
author_facet Hui-Chao Lin
Wei Wang
Hui-Qin Xiao
author_sort Hui-Chao Lin
title Dissipativity Analysis for Neural Networks With Time-Varying Delays Based on Augmented Second-Order Delay-Product-Type Functionals
title_short Dissipativity Analysis for Neural Networks With Time-Varying Delays Based on Augmented Second-Order Delay-Product-Type Functionals
title_full Dissipativity Analysis for Neural Networks With Time-Varying Delays Based on Augmented Second-Order Delay-Product-Type Functionals
title_fullStr Dissipativity Analysis for Neural Networks With Time-Varying Delays Based on Augmented Second-Order Delay-Product-Type Functionals
title_full_unstemmed Dissipativity Analysis for Neural Networks With Time-Varying Delays Based on Augmented Second-Order Delay-Product-Type Functionals
title_sort dissipativity analysis for neural networks with time-varying delays based on augmented second-order delay-product-type functionals
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2020-01-01
description This paper investigates the problem of dissipativity of a class of neural networks with timevarying delays. First, a suitable augmented Lyapunov functional containing the second-order delay-product term is constructed. Based on the integral inequality method and the recently developed relaxed quadratic function negative-determination lemma, a strictly (Q, S, Z)-γ-dissipative criterion is derived in forms of linear matrix inequality (LMI). Finally, a numerical example is used to verify the advantages of the proposed method.
topic Neural networks
delay-product-type Lyapunov-Krasovskii functional
dissipativity
time-varying delays
url https://ieeexplore.ieee.org/document/9181565/
work_keys_str_mv AT huichaolin dissipativityanalysisforneuralnetworkswithtimevaryingdelaysbasedonaugmentedsecondorderdelayproducttypefunctionals
AT weiwang dissipativityanalysisforneuralnetworkswithtimevaryingdelaysbasedonaugmentedsecondorderdelayproducttypefunctionals
AT huiqinxiao dissipativityanalysisforneuralnetworkswithtimevaryingdelaysbasedonaugmentedsecondorderdelayproducttypefunctionals
_version_ 1724182650425442304

Similar Items