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

84 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

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10.1016/j.amc.2008.04.025

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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.",

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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.

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KW - Lyapunov method

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ER -

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

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Keywords

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