作者
Seok Young Lee, Won Il Lee, PooGyeon Park
发表日期
2017/1/1
期刊
Applied Mathematics and Computation
卷号
292
页码范围
336-348
出版商
Elsevier
简介
This paper suggests first-order and second-order generalized zero equalities and constructs a new flexible Lyapunov–Krasovskii functional with more state terms. Also, by applying various zero equalities, improved stability criteria of linear systems with interval time-varying delays are developed. Using Wirtinger-based integral inequality, Jensen inequality and a lower bound lemma, the time derivative of the Lyapunov–Krasovskii functional is bounded by the combinations of various state terms including not only integral terms but also their interval-normalized versions, which contributes to make the stability criteria less conservative. Numerical examples show the improved performance of the criteria in terms of maximum delay bounds.
学术搜索中的文章
SY Lee, WI Lee, PG Park - Applied Mathematics and Computation, 2017