Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays
The purpose of this paper is to investigate the delay-dependent stability analysis for discrete-time neural networks with interval time-varying delays. Based on Lyapunov method, improved delay-dependent criteria for the stability of the networks are derived in terms of linear matrix inequalities (LM...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/285931 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849307686661783552 |
|---|---|
| author | O. M. Kwon M. J. Park Ju H. Park S. M. Lee E. J. Cha |
| author_facet | O. M. Kwon M. J. Park Ju H. Park S. M. Lee E. J. Cha |
| author_sort | O. M. Kwon |
| collection | DOAJ |
| description | The purpose of this paper is to investigate the delay-dependent stability analysis for discrete-time neural networks with interval time-varying delays. Based on Lyapunov method, improved delay-dependent criteria for the stability of the networks are derived in terms of linear matrix inequalities (LMIs) by constructing a suitable Lyapunov-Krasovskii functional and utilizing reciprocally convex approach. Also, a new activation condition which has not been considered in the literature is proposed and utilized for derivation of stability criteria. Two numerical examples are given to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-21b42f2fd37a4d718359832b2135b32c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-21b42f2fd37a4d718359832b2135b32c2025-08-20T03:54:42ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/285931285931Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying DelaysO. M. Kwon0M. J. Park1Ju H. Park2S. M. Lee3E. J. Cha4School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Heungduk-gu, Cheongju 361-763, Republic of KoreaSchool of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Heungduk-gu, Cheongju 361-763, Republic of KoreaDepartment of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Gyeongsan 712-749, Republic of KoreaSchool of Electronic Engineering, Daegu University, Gyeongsan 712-714, Republic of KoreaDepartment of Biomedical Engineering, School of Medicine, Chungbuk National University, 52 Naesudong-ro, Heungduk-gu, Cheongju 361-763, Republic of KoreaThe purpose of this paper is to investigate the delay-dependent stability analysis for discrete-time neural networks with interval time-varying delays. Based on Lyapunov method, improved delay-dependent criteria for the stability of the networks are derived in terms of linear matrix inequalities (LMIs) by constructing a suitable Lyapunov-Krasovskii functional and utilizing reciprocally convex approach. Also, a new activation condition which has not been considered in the literature is proposed and utilized for derivation of stability criteria. Two numerical examples are given to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2012/285931 |
| spellingShingle | O. M. Kwon M. J. Park Ju H. Park S. M. Lee E. J. Cha Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays Abstract and Applied Analysis |
| title | Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays |
| title_full | Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays |
| title_fullStr | Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays |
| title_full_unstemmed | Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays |
| title_short | Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays |
| title_sort | improved criteria on delay dependent stability for discrete time neural networks with interval time varying delays |
| url | http://dx.doi.org/10.1155/2012/285931 |
| work_keys_str_mv | AT omkwon improvedcriteriaondelaydependentstabilityfordiscretetimeneuralnetworkswithintervaltimevaryingdelays AT mjpark improvedcriteriaondelaydependentstabilityfordiscretetimeneuralnetworkswithintervaltimevaryingdelays AT juhpark improvedcriteriaondelaydependentstabilityfordiscretetimeneuralnetworkswithintervaltimevaryingdelays AT smlee improvedcriteriaondelaydependentstabilityfordiscretetimeneuralnetworkswithintervaltimevaryingdelays AT ejcha improvedcriteriaondelaydependentstabilityfordiscretetimeneuralnetworkswithintervaltimevaryingdelays |