New robust stability criteria for uncertain neural networks with interval time-varying delays

Jiqing Qiu; Hongjiu Yang; Jinhui Zhang; Zhifeng Gao

doi:10.1016/j.chaos.2007.01.087

New robust stability criteria for uncertain neural networks with interval time-varying delays

Jiqing Qiu
, Hongjiu Yang^*
, Jinhui Zhang
, Zhifeng Gao

^*Corresponding author for this work

Hebei University of Science and Technology

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

48 Citations (Scopus)

Abstract

In this paper, problem of robust stability of uncertain neural networks with interval time-varying delays has been investigated. The delay factor is assumed to be time-varying and belongs to a given interval, which means that the lower and upper bounds of the interval time-varying delays are available. Based on the Lyapunov-Krasovskii functional approach, a new delay-dependent stability criteria is presented in terms of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	579-585
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	39
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2007.01.087
Publication status	Published - 30 Jan 2009
Externally published	Yes

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10.1016/j.chaos.2007.01.087

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abstract = "In this paper, problem of robust stability of uncertain neural networks with interval time-varying delays has been investigated. The delay factor is assumed to be time-varying and belongs to a given interval, which means that the lower and upper bounds of the interval time-varying delays are available. Based on the Lyapunov-Krasovskii functional approach, a new delay-dependent stability criteria is presented in terms of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the proposed method.",

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AU - Gao, Zhifeng

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Y1 - 2009/1/30

N2 - In this paper, problem of robust stability of uncertain neural networks with interval time-varying delays has been investigated. The delay factor is assumed to be time-varying and belongs to a given interval, which means that the lower and upper bounds of the interval time-varying delays are available. Based on the Lyapunov-Krasovskii functional approach, a new delay-dependent stability criteria is presented in terms of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the proposed method.

AB - In this paper, problem of robust stability of uncertain neural networks with interval time-varying delays has been investigated. The delay factor is assumed to be time-varying and belongs to a given interval, which means that the lower and upper bounds of the interval time-varying delays are available. Based on the Lyapunov-Krasovskii functional approach, a new delay-dependent stability criteria is presented in terms of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the proposed method.

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JO - Chaos, Solitons and Fractals

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New robust stability criteria for uncertain neural networks with interval time-varying delays

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