一类非线性时滞系统的周期收敛性

IF 2.4 Q2 AUTOMATION & CONTROL SYSTEMS

IEEE Control Systems Letters Pub Date : 2025-04-28 DOI:10.1109/LCSYS.2025.3564586

A. Aleksandrov;D. Efimov;X. Ping

{"title":"一类非线性时滞系统的周期收敛性","authors":"A. Aleksandrov;D. Efimov;X. Ping","doi":"10.1109/LCSYS.2025.3564586","DOIUrl":null,"url":null,"abstract":"The new existence conditions for periodic steady-state solution in time-delay convergent systems are presented. The main advantage of this result is that highly nonlinear (without meaningful linear approximation) dynamics are allowed for analysis. These conditions are developed for Persidskii and Lotka-Volterra time-delay systems. The efficiency of the approach is demonstrated on academic examples of these models.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"9 ","pages":"96-101"},"PeriodicalIF":2.4000,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Periodic Convergence for a Class of Nonlinear Time-Delay Systems\",\"authors\":\"A. Aleksandrov;D. Efimov;X. Ping\",\"doi\":\"10.1109/LCSYS.2025.3564586\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The new existence conditions for periodic steady-state solution in time-delay convergent systems are presented. The main advantage of this result is that highly nonlinear (without meaningful linear approximation) dynamics are allowed for analysis. These conditions are developed for Persidskii and Lotka-Volterra time-delay systems. The efficiency of the approach is demonstrated on academic examples of these models.\",\"PeriodicalId\":37235,\"journal\":{\"name\":\"IEEE Control Systems Letters\",\"volume\":\"9 \",\"pages\":\"96-101\"},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2025-04-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Control Systems Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10978004/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Control Systems Letters","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/10978004/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}

引用次数: 0

摘要

给出了时滞收敛系统周期稳态解的新存在条件。该结果的主要优点是允许分析高度非线性（没有有意义的线性近似）动力学。给出了Persidskii和Lotka-Volterra时滞系统的这些条件。这些模型的学术实例证明了该方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Periodic Convergence for a Class of Nonlinear Time-Delay Systems

The new existence conditions for periodic steady-state solution in time-delay convergent systems are presented. The main advantage of this result is that highly nonlinear (without meaningful linear approximation) dynamics are allowed for analysis. These conditions are developed for Persidskii and Lotka-Volterra time-delay systems. The efficiency of the approach is demonstrated on academic examples of these models.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

IEEE Control Systems Letters Mathematics-Control and Optimization

CiteScore

4.40

自引率

13.30%

发文量

471