New and improved results on stability of static neural networks with interval time-varying delays

O. M. Kwon; M. J. Park; Ju H. Park; S. M. Lee; E. J. Cha

doi:10.1016/j.amc.2014.04.089

New and improved results on stability of static neural networks with interval time-varying delays

O. M. Kwon
, M. J. Park
, Ju H. Park
, S. M. Lee
, E. J. Cha

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

76 Citations (Scopus)

Abstract

In this paper, the problem of stability analysis for static neural networks with interval time-varying delays is considered. By the consideration of new augmented Lyapunov functionals, new and improved delay-dependent stability criteria to guarantee the asymptotic stability of the concerned networks are proposed with the framework of linear matrix inequalities (LMIs), which can be solved easily by standard numerical packages. The enhancement of the feasible region of the proposed criteria is shown via two numerical examples by the comparison of maximum delay bounds.

Original language	English
Pages (from-to)	346-357
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	239
DOIs	https://doi.org/10.1016/j.amc.2014.04.089
Publication status	Published - 15 Jul 2014

Bibliographical note

Funding Information:
This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2008-0062611 ), and by a Grant of the Korea Healthcare Technology R D Project, Ministry of Health Welfare, Republic of Korea ( A100054 ).

Keywords

Interval time-varying delays
Lyapunov method
Stability analysis
Static neural networks

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10.1016/j.amc.2014.04.089

Cite this

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title = "New and improved results on stability of static neural networks with interval time-varying delays",

abstract = "In this paper, the problem of stability analysis for static neural networks with interval time-varying delays is considered. By the consideration of new augmented Lyapunov functionals, new and improved delay-dependent stability criteria to guarantee the asymptotic stability of the concerned networks are proposed with the framework of linear matrix inequalities (LMIs), which can be solved easily by standard numerical packages. The enhancement of the feasible region of the proposed criteria is shown via two numerical examples by the comparison of maximum delay bounds.",

keywords = "Interval time-varying delays, Lyapunov method, Stability analysis, Static neural networks",

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

note = "Funding Information: This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2008-0062611 ), and by a Grant of the Korea Healthcare Technology R D Project, Ministry of Health Welfare, Republic of Korea ( A100054 ).",

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doi = "10.1016/j.amc.2014.04.089",

language = "English",

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AU - Kwon, O. M.

AU - Park, M. J.

AU - Park, Ju H.

AU - Lee, S. M.

AU - Cha, E. J.

N1 - Funding Information: This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2008-0062611 ), and by a Grant of the Korea Healthcare Technology R D Project, Ministry of Health Welfare, Republic of Korea ( A100054 ).

PY - 2014/7/15

Y1 - 2014/7/15

N2 - In this paper, the problem of stability analysis for static neural networks with interval time-varying delays is considered. By the consideration of new augmented Lyapunov functionals, new and improved delay-dependent stability criteria to guarantee the asymptotic stability of the concerned networks are proposed with the framework of linear matrix inequalities (LMIs), which can be solved easily by standard numerical packages. The enhancement of the feasible region of the proposed criteria is shown via two numerical examples by the comparison of maximum delay bounds.

AB - In this paper, the problem of stability analysis for static neural networks with interval time-varying delays is considered. By the consideration of new augmented Lyapunov functionals, new and improved delay-dependent stability criteria to guarantee the asymptotic stability of the concerned networks are proposed with the framework of linear matrix inequalities (LMIs), which can be solved easily by standard numerical packages. The enhancement of the feasible region of the proposed criteria is shown via two numerical examples by the comparison of maximum delay bounds.

KW - Interval time-varying delays

KW - Lyapunov method

KW - Stability analysis

KW - Static neural networks

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DO - 10.1016/j.amc.2014.04.089

M3 - Article

AN - SCOPUS:84901454805

SN - 0096-3003

VL - 239

SP - 346

EP - 357

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

New and improved results on stability of static neural networks with interval time-varying delays

Abstract

Bibliographical note

Keywords

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