具有广义衰减率的中立型受电弓随机微分方程的稳定性

IF 3.2 Q2 AUTOMATION & CONTROL SYSTEMS

Systems Science & Control Engineering Pub Date : 2022-04-04 DOI:10.1080/21642583.2022.2057371

Mingxuan Shen, Xue Gong, Yingjuan Yang

{"title":"具有广义衰减率的中立型受电弓随机微分方程的稳定性","authors":"Mingxuan Shen, Xue Gong, Yingjuan Yang","doi":"10.1080/21642583.2022.2057371","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the stability of highly nonlinear hybrid neutral pantograph stochastic differential equations (NPSDEs) with general decay rate. By applying the method of the Lyapunov function, the pth moment and almost sure stability with general decay rate of solution for NPSDEs are derived. Finally, an example is presented to show the effectiveness of the proposed methods.","PeriodicalId":46282,"journal":{"name":"Systems Science & Control Engineering","volume":"10 1","pages":"192 - 199"},"PeriodicalIF":3.2000,"publicationDate":"2022-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability of neutral pantograph stochastic differential equations with generalized decay rate\",\"authors\":\"Mingxuan Shen, Xue Gong, Yingjuan Yang\",\"doi\":\"10.1080/21642583.2022.2057371\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the stability of highly nonlinear hybrid neutral pantograph stochastic differential equations (NPSDEs) with general decay rate. By applying the method of the Lyapunov function, the pth moment and almost sure stability with general decay rate of solution for NPSDEs are derived. Finally, an example is presented to show the effectiveness of the proposed methods.\",\"PeriodicalId\":46282,\"journal\":{\"name\":\"Systems Science & Control Engineering\",\"volume\":\"10 1\",\"pages\":\"192 - 199\"},\"PeriodicalIF\":3.2000,\"publicationDate\":\"2022-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Systems Science & Control Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/21642583.2022.2057371\",\"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":"Systems Science & Control Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/21642583.2022.2057371","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

本文研究了具有一般衰减率的高度非线性混合中性受电弓随机微分方程的稳定性。应用Lyapunov函数的方法，导出了NPSDEs的第p阶矩和解的一般衰减率下的几乎确定稳定性。最后，通过一个算例验证了所提方法的有效性。

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

Stability of neutral pantograph stochastic differential equations with generalized decay rate

In this paper, we investigate the stability of highly nonlinear hybrid neutral pantograph stochastic differential equations (NPSDEs) with general decay rate. By applying the method of the Lyapunov function, the pth moment and almost sure stability with general decay rate of solution for NPSDEs are derived. Finally, an example is presented to show the effectiveness of the proposed methods.

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

Systems Science & Control Engineering AUTOMATION & CONTROL SYSTEMS-

CiteScore

9.50

自引率

2.40%

发文量

审稿时长

29 weeks

期刊介绍： Systems Science & Control Engineering is a world-leading fully open access journal covering all areas of theoretical and applied systems science and control engineering. The journal encourages the submission of original articles, reviews and short communications in areas including, but not limited to: · artificial intelligence · complex systems · complex networks · control theory · control applications · cybernetics · dynamical systems theory · operations research · systems biology · systems dynamics · systems ecology · systems engineering · systems psychology · systems theory