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...

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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/
Description
Summary: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.
ISSN:2169-3536

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