State estimation for neural networks of neutral-type with interval time-varying delays

Ju H. Park; O. M. Kwon; S. M. Lee

doi:10.1016/j.amc.2008.04.025

State estimation for neural networks of neutral-type with interval time-varying delays

Ju H. Park
, O. M. Kwon
, S. M. Lee

School of Electronics Engineering

Research output: Contribution to journal › Article › peer-review

85 Scopus citations

Abstract

In this paper, the design problem of state estimator for a class of neural networks of neutral-type with interval time-varying delays is studied. The interval time-varying delay does not have constraint that its derivative is less than 1. The constraint is widely used to deal with time-varying delays in many papers. A delay-dependent linear matrix inequality (LMI) criterion for existence of the estimator is proposed by using Lyapunov method. The criterion can be easily solved by various convex optimization algorithms. A numerical example is given to show the effectiveness of proposed method.

Original language	English
Pages (from-to)	217-223
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	203
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2008.04.025
State	Published - 1 Sep 2008

Keywords

Interval time-varying delay
LMI
Lyapunov method
Neural networks
Neutral-type
State estimator

Access to Document

10.1016/j.amc.2008.04.025

Cite this

@article{1486b543fb7e4371b62e088b6f4d6fa7,

title = "State estimation for neural networks of neutral-type with interval time-varying delays",

abstract = "In this paper, the design problem of state estimator for a class of neural networks of neutral-type with interval time-varying delays is studied. The interval time-varying delay does not have constraint that its derivative is less than 1. The constraint is widely used to deal with time-varying delays in many papers. A delay-dependent linear matrix inequality (LMI) criterion for existence of the estimator is proposed by using Lyapunov method. The criterion can be easily solved by various convex optimization algorithms. A numerical example is given to show the effectiveness of proposed method.",

keywords = "Interval time-varying delay, LMI, Lyapunov method, Neural networks, Neutral-type, State estimator",

author = "Park, \{Ju H.\} and Kwon, \{O. M.\} and Lee, \{S. M.\}",

year = "2008",

month = sep,

day = "1",

doi = "10.1016/j.amc.2008.04.025",

language = "English",

volume = "203",

pages = "217--223",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "1",

}

TY - JOUR

T1 - State estimation for neural networks of neutral-type with interval time-varying delays

AU - Park, Ju H.

AU - Kwon, O. M.

AU - Lee, S. M.

PY - 2008/9/1

Y1 - 2008/9/1

N2 - In this paper, the design problem of state estimator for a class of neural networks of neutral-type with interval time-varying delays is studied. The interval time-varying delay does not have constraint that its derivative is less than 1. The constraint is widely used to deal with time-varying delays in many papers. A delay-dependent linear matrix inequality (LMI) criterion for existence of the estimator is proposed by using Lyapunov method. The criterion can be easily solved by various convex optimization algorithms. A numerical example is given to show the effectiveness of proposed method.

AB - In this paper, the design problem of state estimator for a class of neural networks of neutral-type with interval time-varying delays is studied. The interval time-varying delay does not have constraint that its derivative is less than 1. The constraint is widely used to deal with time-varying delays in many papers. A delay-dependent linear matrix inequality (LMI) criterion for existence of the estimator is proposed by using Lyapunov method. The criterion can be easily solved by various convex optimization algorithms. A numerical example is given to show the effectiveness of proposed method.

KW - Interval time-varying delay

KW - LMI

KW - Lyapunov method

KW - Neural networks

KW - Neutral-type

KW - State estimator

UR - https://www.scopus.com/pages/publications/50249144559

U2 - 10.1016/j.amc.2008.04.025

DO - 10.1016/j.amc.2008.04.025

M3 - Article

AN - SCOPUS:50249144559

SN - 0096-3003

VL - 203

SP - 217

EP - 223

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

State estimation for neural networks of neutral-type with interval time-varying delays

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this