Composite slack-matrix-based integral inequality and its application to stability analysis of time-delay systems. (October 2021)

• Record Type: Journal Article
• Authors: Tian, Yufeng; Wang, Zhanshan
• Is Part Of: Applied mathematics letters. Volume 120(2021)
• Publication Date: 2021-10
• Subjects: Linear systems -- Time-varying delay -- Composite slack-matrix-based integral inequality -- Stability analysis; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107252
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This paper focuses on the delay-dependent stability problem of time-varying delay linear systems. A composite slack-matrix-based integral inequality (CSMBII) is presented in delay-product types. It overcomes the limitation of reciprocal convexity in Bessel–Legendre integral inequality such that CSMBII is more convenient to cope with time-varying delay systems. And it also overcomes the shortcoming that the slack matrices in previous works are independent of time-varying delay. Based on CSMBII, a new delay-dependent stability criterion is derived for time delay systems. A numerical example is given to illustrate the effectiveness of the stability criterion.