A new multiple integral inequality and its application to stability analysis of time-delay systems. (July 2020)

• Record Type: Journal Article
• Authors: Tian, Yufeng; Wang, Zhanshan
• Is Part Of: Applied mathematics letters. Volume 105(2020)
• Publication Date: 2020-07
• Subjects: Time-delay systems -- Multiple integral inequality -- Stability analysis; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106325
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This paper focuses on the stability problem of linear time-delay systems. Firstly, a generalized vectors-based multiple integral inequality (GVMII) is presented, which can treat some existing results as its special cases. Secondly, based on the multiple integral inequality, a new delay-dependent stability criterion is derived for time-delay systems. Finally, a numerical example is given to illustrate the effectiveness of the stability criterion.