New stochastic stability criteria for uncertain neural networks with discrete and distributed delays

Jiqing Qiu; Zhifeng Gao; Jinhui Zhang

doi:10.1007/978-3-540-74205-0_14

New stochastic stability criteria for uncertain neural networks with discrete and distributed delays

Jiqing Qiu^*, Zhifeng Gao, Jinhui Zhang

^*Corresponding author for this work

Hebei University of Science and Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper is concerned with robust asymptotic stability for uncertain stochastic neural networks with discrete and distributed delays. The parameter uncertainties are assumed to be time-varying and norm-bounded. We removed the traditional monotonicity and smoothness assumptions on the activation function, by utilizing a LyapunovKrasovskii functional and conducting stochastic analysis, a new stability criteria is provided, which guarantees uncertain stochastic neural networks is robust asymptotical stable and depends on the size of the distributed delays, The criteria can be effectively solved by some standard numerical packages. A numerical example is presented to illustrate the effectiveness of the proposed stability criteria.

Original language	English
Title of host publication	Advanced Intelligent Computing Theories and Applications
Subtitle of host publication	With Aspects of Artificial Intelligence - Third International Conference on Intelligent Computing, ICIC 2007, Proceedings
Publisher	Springer Verlag
Pages	120-129
Number of pages	10
ISBN (Print)	9783540742012
DOIs	https://doi.org/10.1007/978-3-540-74205-0_14
Publication status	Published - 2007
Externally published	Yes
Event	3rd International Conference on Intelligent Computing, ICIC 2007 - Qingdao, China Duration: 21 Aug 2007 → 24 Aug 2007

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	4682 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	3rd International Conference on Intelligent Computing, ICIC 2007
Country/Territory	China
City	Qingdao
Period	21/08/07 → 24/08/07

Keywords

Norm-bounded uncertainties
Robust asymptotic stability
Stochastic neural networks

Access to Document

10.1007/978-3-540-74205-0_14

Cite this

Qiu, J., Gao, Z., & Zhang, J. (2007). New stochastic stability criteria for uncertain neural networks with discrete and distributed delays. In Advanced Intelligent Computing Theories and Applications: With Aspects of Artificial Intelligence - Third International Conference on Intelligent Computing, ICIC 2007, Proceedings (pp. 120-129). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4682 LNAI). Springer Verlag. https://doi.org/10.1007/978-3-540-74205-0_14

Qiu, Jiqing ; Gao, Zhifeng ; Zhang, Jinhui. / New stochastic stability criteria for uncertain neural networks with discrete and distributed delays. Advanced Intelligent Computing Theories and Applications: With Aspects of Artificial Intelligence - Third International Conference on Intelligent Computing, ICIC 2007, Proceedings. Springer Verlag, 2007. pp. 120-129 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{faf5357ee8784e18b8a6b817f2e01f0a,

title = "New stochastic stability criteria for uncertain neural networks with discrete and distributed delays",

abstract = "This paper is concerned with robust asymptotic stability for uncertain stochastic neural networks with discrete and distributed delays. The parameter uncertainties are assumed to be time-varying and norm-bounded. We removed the traditional monotonicity and smoothness assumptions on the activation function, by utilizing a LyapunovKrasovskii functional and conducting stochastic analysis, a new stability criteria is provided, which guarantees uncertain stochastic neural networks is robust asymptotical stable and depends on the size of the distributed delays, The criteria can be effectively solved by some standard numerical packages. A numerical example is presented to illustrate the effectiveness of the proposed stability criteria.",

keywords = "Norm-bounded uncertainties, Robust asymptotic stability, Stochastic neural networks",

author = "Jiqing Qiu and Zhifeng Gao and Jinhui Zhang",

year = "2007",

doi = "10.1007/978-3-540-74205-0_14",

language = "English",

isbn = "9783540742012",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "120--129",

booktitle = "Advanced Intelligent Computing Theories and Applications",

address = "Germany",

note = "3rd International Conference on Intelligent Computing, ICIC 2007 ; Conference date: 21-08-2007 Through 24-08-2007",

}

Qiu, J, Gao, Z & Zhang, J 2007, New stochastic stability criteria for uncertain neural networks with discrete and distributed delays. in Advanced Intelligent Computing Theories and Applications: With Aspects of Artificial Intelligence - Third International Conference on Intelligent Computing, ICIC 2007, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4682 LNAI, Springer Verlag, pp. 120-129, 3rd International Conference on Intelligent Computing, ICIC 2007, Qingdao, China, 21/08/07. https://doi.org/10.1007/978-3-540-74205-0_14

New stochastic stability criteria for uncertain neural networks with discrete and distributed delays. / Qiu, Jiqing; Gao, Zhifeng; Zhang, Jinhui.
Advanced Intelligent Computing Theories and Applications: With Aspects of Artificial Intelligence - Third International Conference on Intelligent Computing, ICIC 2007, Proceedings. Springer Verlag, 2007. p. 120-129 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4682 LNAI).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - New stochastic stability criteria for uncertain neural networks with discrete and distributed delays

AU - Qiu, Jiqing

AU - Gao, Zhifeng

AU - Zhang, Jinhui

PY - 2007

Y1 - 2007

N2 - This paper is concerned with robust asymptotic stability for uncertain stochastic neural networks with discrete and distributed delays. The parameter uncertainties are assumed to be time-varying and norm-bounded. We removed the traditional monotonicity and smoothness assumptions on the activation function, by utilizing a LyapunovKrasovskii functional and conducting stochastic analysis, a new stability criteria is provided, which guarantees uncertain stochastic neural networks is robust asymptotical stable and depends on the size of the distributed delays, The criteria can be effectively solved by some standard numerical packages. A numerical example is presented to illustrate the effectiveness of the proposed stability criteria.

AB - This paper is concerned with robust asymptotic stability for uncertain stochastic neural networks with discrete and distributed delays. The parameter uncertainties are assumed to be time-varying and norm-bounded. We removed the traditional monotonicity and smoothness assumptions on the activation function, by utilizing a LyapunovKrasovskii functional and conducting stochastic analysis, a new stability criteria is provided, which guarantees uncertain stochastic neural networks is robust asymptotical stable and depends on the size of the distributed delays, The criteria can be effectively solved by some standard numerical packages. A numerical example is presented to illustrate the effectiveness of the proposed stability criteria.

KW - Norm-bounded uncertainties

KW - Robust asymptotic stability

KW - Stochastic neural networks

UR - http://www.scopus.com/inward/record.url?scp=38049065077&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-74205-0_14

DO - 10.1007/978-3-540-74205-0_14

M3 - Conference contribution

AN - SCOPUS:38049065077

SN - 9783540742012

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 120

EP - 129

BT - Advanced Intelligent Computing Theories and Applications

PB - Springer Verlag

T2 - 3rd International Conference on Intelligent Computing, ICIC 2007

Y2 - 21 August 2007 through 24 August 2007

ER -

Qiu J, Gao Z, Zhang J. New stochastic stability criteria for uncertain neural networks with discrete and distributed delays. In Advanced Intelligent Computing Theories and Applications: With Aspects of Artificial Intelligence - Third International Conference on Intelligent Computing, ICIC 2007, Proceedings. Springer Verlag. 2007. p. 120-129. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-74205-0_14

New stochastic stability criteria for uncertain neural networks with discrete and distributed delays

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this