Novel Stability Criteria for Sampled-Data Systems with Variable Sampling Periods

doi:10.1109/JAS.2017.7510376

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	Novel Stability Criteria for Sampled-Data Systems with Variable Sampling Periods
	Hanyong Shao; Jianrong Zhao; Dan Zhang
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2020
卷号	7 期号:1 页码:257-262
摘要	This paper is concerned with a novel Lyapunov-like functional approach to the stability of sampled-data systems with variable sampling periods. The Lyapunov-like functional has four striking characters compared to usual ones. First, it is time-dependent. Second, it may be discontinuous. Third, not every term of it is required to be positive definite. Fourth, the Lyapunov functional includes not only the state and the sampled state but also the integral of the state. By using a recently reported inequality to estimate the derivative of this Lyapunov functional, a sampled-interval-dependent stability criterion with reduced conservatism is obtained. The stability criterion is further extended to sampled-data systems with polytopic uncertainties. Finally, three examples are given to illustrate the reduced conservatism of the stability criteria.
关键词	Lyapunov functional sampled-data systems sampling-interval-dependent stability
DOI	10.1109/JAS.2017.7510376
引用统计	被引频次：4[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/42944
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Hanyong Shao, Jianrong Zhao, Dan Zhang. Novel Stability Criteria for Sampled-Data Systems with Variable Sampling Periods[J]. IEEE/CAA Journal of Automatica Sinica,2020,7(1):257-262.
APA	Hanyong Shao, Jianrong Zhao,& Dan Zhang.(2020).Novel Stability Criteria for Sampled-Data Systems with Variable Sampling Periods.IEEE/CAA Journal of Automatica Sinica,7(1),257-262.
MLA	Hanyong Shao,et al."Novel Stability Criteria for Sampled-Data Systems with Variable Sampling Periods".IEEE/CAA Journal of Automatica Sinica 7.1(2020):257-262.

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