Effect of heterogeneous time delays and link weights on the stability and convergence time of large interconnected dynamical systems: A case study

2009 IEEE International Conference on Computational Intelligence for Measurement Systems and Applications Pub Date : 2009-05-11 DOI:10.1109/CIMSA.2009.5069961

D. Megherbi, M. Madera, L. Dang

{"title":"Effect of heterogeneous time delays and link weights on the stability and convergence time of large interconnected dynamical systems: A case study","authors":"D. Megherbi, M. Madera, L. Dang","doi":"10.1109/CIMSA.2009.5069961","DOIUrl":null,"url":null,"abstract":"In this paper, we study the stability (convergence time) of an interconnected dynamical system with respect to its connectivity in the presence of delayed feedbacks sensory inputs/outputs data. In particular, we show that under some conditions, that we introduce and present in this paper, related to the interconnected links time-delays, the less connected a given dynamical system is, the longer it will take for the overall system to stabilize. We address the conditions for obtaining an estimate of the convergence time of the system based on the system interconnections weights and time delays. In particular, we study the conditions under which such property is conserved when homogenous and/or heterogeneous time delays are introduced to the links of the interconnected system considered. Analysis of the affect of arbitrary heterogeneous time delays on the dynamical system links, system stability, and convergence time is also presented.","PeriodicalId":178669,"journal":{"name":"2009 IEEE International Conference on Computational Intelligence for Measurement Systems and Applications","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 IEEE International Conference on Computational Intelligence for Measurement Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CIMSA.2009.5069961","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 6

Abstract

In this paper, we study the stability (convergence time) of an interconnected dynamical system with respect to its connectivity in the presence of delayed feedbacks sensory inputs/outputs data. In particular, we show that under some conditions, that we introduce and present in this paper, related to the interconnected links time-delays, the less connected a given dynamical system is, the longer it will take for the overall system to stabilize. We address the conditions for obtaining an estimate of the convergence time of the system based on the system interconnections weights and time delays. In particular, we study the conditions under which such property is conserved when homogenous and/or heterogeneous time delays are introduced to the links of the interconnected system considered. Analysis of the affect of arbitrary heterogeneous time delays on the dynamical system links, system stability, and convergence time is also presented.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

异构时滞和链路权对大型互联动力系统稳定性和收敛时间的影响:一个实例研究

在本文中，我们研究了在存在延迟反馈感官输入/输出数据的情况下，一个相互连接的动力系统的稳定性(收敛时间)。特别地，我们证明了在某些条件下，我们在本文中引入并给出了与互联环节时滞相关的条件，给定的动力系统连接越少，整个系统稳定所需的时间就越长。我们讨论了基于系统互连权值和时滞的系统收敛时间估计的条件。特别地，我们研究了当同质和/或异质时滞被引入所考虑的互联系统的链路时，这种性质保持的条件。分析了任意异构时滞对动力系统链路、系统稳定性和收敛时间的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

2009 IEEE International Conference on Computational Intelligence for Measurement Systems and Applications

自引率

0.00%

发文量