Mean square exponential stability of stochastic nonlinear delay systems

doi:10.1080/00207179.2016.1249030

CORC > 上海财经大学 > 上海财经大学

	Mean square exponential stability of stochastic nonlinear delay systems
	Zhu, Quanxin 1,2,3; Song, Shiyun 1,2; Tang, Tianren 4
刊名	INTERNATIONAL JOURNAL OF CONTROL
	2017
卷号	90 期号:11 页码:2384-2393
关键词	Stochastic nonlinear delay system polynomial growth condition global Lipschitz condition mean square globally exponential stability stabilisation
ISSN号	0020-7179
DOI	10.1080/00207179.2016.1249030
英文摘要	In this paper, we are concernedwith the stability of stochastic nonlinear delay systems. Different from the previous literature, we aim to show that when the determinate nonlinear delay system is globally exponentially stable, the corresponding stochastic nonlinear delay system can be mean square globally exponentially stable. In particular, we remove the linear growth condition and introduce a new polynomial growth condition for g(x(t), x(t-tau(t))), which overcomes the limitation of application scope and the boundedness of diffusion term form. Finally, we provide an example to illustrate our results.
WOS研究方向	Automation & Control Systems
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000411339300006
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/1096]
专题	上海财经大学
通讯作者	Zhu, Quanxin
作者单位	1.Nanjing Normal Univ, Sch Math Sci, Nanjing, Jiangsu, Peoples R China; 2.Nanjing Normal Univ, Inst Finance & Stat, Nanjing, Jiangsu, Peoples R China; 3.Univ Bielefeld, Dept Math, Bielefeld, Germany; 4.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Quanxin,Song, Shiyun,Tang, Tianren. Mean square exponential stability of stochastic nonlinear delay systems[J]. INTERNATIONAL JOURNAL OF CONTROL,2017,90(11):2384-2393.
APA	Zhu, Quanxin,Song, Shiyun,&Tang, Tianren.(2017).Mean square exponential stability of stochastic nonlinear delay systems.INTERNATIONAL JOURNAL OF CONTROL,90(11),2384-2393.
MLA	Zhu, Quanxin,et al."Mean square exponential stability of stochastic nonlinear delay systems".INTERNATIONAL JOURNAL OF CONTROL 90.11(2017):2384-2393.