Improved stability criteria for linear systems with interval time-varying delays: Generalized zero equalities approach

Seok Young Lee, Won Il Lee and PooGyeon Park

Applied Mathematics and Computation, 2017, vol. 292, issue C, 336-348

Abstract: 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.

Keywords: Interval time-varying delays; Stability analysis; Wirtinger-based integral inequality; Zero equality; LMI (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316304453
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:292:y:2017:i:c:p:336-348

DOI: 10.1016/j.amc.2016.07.015

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().