Dynamics of continuous-time neural networks and their discrete-time analogues with distributed delays

Lingyao Wu; Liang Ju; Lei Guo

doi:10.1007/978-3-540-72383-7_123

Dynamics of continuous-time neural networks and their discrete-time analogues with distributed delays

Lingyao Wu^*
, Liang Ju
, Lei Guo

^*此作品的通讯作者

Southeast University, Nanjing
Hohai University

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

5 引用（Scopus）

摘要

Discrete-time analogues of continuous-time neural networks with continuously distributed delays and periodic inputs are introduced. The discrete-time analogues are considered to be numerical discretizations of the continuous-time networks and we study their dynamical characteristics. By employing Halanay-type inequality, we obtain easily verifiable sufficient conditions ensuring that every solutions of the discrete-time analogue converge exponentially to the unique periodic solutions. It is shown that the discrete-time analogues preserve the periodicity of the continuous-time networks.

源语言	英语
主期刊名	Advances in Neural Networks - ISNN 2007 - 4th International Symposium on Neural Networks, ISNN 2007, Proceedings
出版商	Springer Verlag
页	1054-1060
页数	7
版本	PART 1
ISBN（印刷版）	9783540723820
DOI	https://doi.org/10.1007/978-3-540-72383-7_123
出版状态	已出版 - 2007
已对外发布	是
活动	4th International Symposium on Neural Networks, ISNN 2007 - Nanjing, 中国期限: 3 6月 2007 → 7 6月 2007

出版系列

姓名	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
编号	PART 1
卷	4491 LNCS
ISSN（印刷版）	0302-9743
ISSN（电子版）	1611-3349

会议

会议	4th International Symposium on Neural Networks, ISNN 2007
国家/地区	中国
市	Nanjing
时期	3/06/07 → 7/06/07

访问文件

10.1007/978-3-540-72383-7_123

其它文件与链接

链接到 Scopus 的出版物

引用此

Wu, L., Ju, L., & Guo, L. (2007). Dynamics of continuous-time neural networks and their discrete-time analogues with distributed delays. 在 Advances in Neural Networks - ISNN 2007 - 4th International Symposium on Neural Networks, ISNN 2007, Proceedings (PART 1 编辑, 页码 1054-1060). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 卷 4491 LNCS, 号码 PART 1). Springer Verlag. https://doi.org/10.1007/978-3-540-72383-7_123

Wu, Lingyao ; Ju, Liang ; Guo, Lei. / Dynamics of continuous-time neural networks and their discrete-time analogues with distributed delays. Advances in Neural Networks - ISNN 2007 - 4th International Symposium on Neural Networks, ISNN 2007, Proceedings. PART 1. 编辑 Springer Verlag, 2007. 页码 1054-1060 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1).

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title = "Dynamics of continuous-time neural networks and their discrete-time analogues with distributed delays",

abstract = "Discrete-time analogues of continuous-time neural networks with continuously distributed delays and periodic inputs are introduced. The discrete-time analogues are considered to be numerical discretizations of the continuous-time networks and we study their dynamical characteristics. By employing Halanay-type inequality, we obtain easily verifiable sufficient conditions ensuring that every solutions of the discrete-time analogue converge exponentially to the unique periodic solutions. It is shown that the discrete-time analogues preserve the periodicity of the continuous-time networks.",

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Wu, L, Ju, L & Guo, L 2007, Dynamics of continuous-time neural networks and their discrete-time analogues with distributed delays. 在 Advances in Neural Networks - ISNN 2007 - 4th International Symposium on Neural Networks, ISNN 2007, Proceedings. PART 1 编辑, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 号码 PART 1, 卷 4491 LNCS, Springer Verlag, 页码 1054-1060, 4th International Symposium on Neural Networks, ISNN 2007, Nanjing, 中国, 3/06/07. https://doi.org/10.1007/978-3-540-72383-7_123

Dynamics of continuous-time neural networks and their discrete-time analogues with distributed delays. / Wu, Lingyao; Ju, Liang; Guo, Lei.
Advances in Neural Networks - ISNN 2007 - 4th International Symposium on Neural Networks, ISNN 2007, Proceedings. PART 1. 编辑 Springer Verlag, 2007. 页码 1054-1060 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 卷 4491 LNCS, 号码 PART 1).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - Dynamics of continuous-time neural networks and their discrete-time analogues with distributed delays

AU - Wu, Lingyao

AU - Ju, Liang

AU - Guo, Lei

PY - 2007

Y1 - 2007

N2 - Discrete-time analogues of continuous-time neural networks with continuously distributed delays and periodic inputs are introduced. The discrete-time analogues are considered to be numerical discretizations of the continuous-time networks and we study their dynamical characteristics. By employing Halanay-type inequality, we obtain easily verifiable sufficient conditions ensuring that every solutions of the discrete-time analogue converge exponentially to the unique periodic solutions. It is shown that the discrete-time analogues preserve the periodicity of the continuous-time networks.

AB - Discrete-time analogues of continuous-time neural networks with continuously distributed delays and periodic inputs are introduced. The discrete-time analogues are considered to be numerical discretizations of the continuous-time networks and we study their dynamical characteristics. By employing Halanay-type inequality, we obtain easily verifiable sufficient conditions ensuring that every solutions of the discrete-time analogue converge exponentially to the unique periodic solutions. It is shown that the discrete-time analogues preserve the periodicity of the continuous-time networks.

UR - https://www.scopus.com/pages/publications/37249080671

U2 - 10.1007/978-3-540-72383-7_123

DO - 10.1007/978-3-540-72383-7_123

M3 - 会议稿件

AN - SCOPUS:37249080671

SN - 9783540723820

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

SP - 1054

EP - 1060

BT - Advances in Neural Networks - ISNN 2007 - 4th International Symposium on Neural Networks, ISNN 2007, Proceedings

PB - Springer Verlag

T2 - 4th International Symposium on Neural Networks, ISNN 2007

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Wu L, Ju L, Guo L. Dynamics of continuous-time neural networks and their discrete-time analogues with distributed delays. 在 Advances in Neural Networks - ISNN 2007 - 4th International Symposium on Neural Networks, ISNN 2007, Proceedings. PART 1 编辑 Springer Verlag. 2007. 页码 1054-1060. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1). doi: 10.1007/978-3-540-72383-7_123

Dynamics of continuous-time neural networks and their discrete-time analogues with distributed delays

摘要

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会议

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引用此