Polynomials-based integral inequality for stability analysis of linear systems with time-varying delays. Issue 4 (March 2017)

• Record Type: Journal Article
• Authors: Lee, Seok Young; Lee, Won Il; Park, PooGyeon
• Is Part Of: Journal of the Franklin Institute. Volume 354:Issue 4(2017:Apr.)
• Page Start: 2053
• Page End: 2067
• Publication Date: 2017-03
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2016.12.025
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper employs polynomial functions to extend a free-matrix-based integral inequality into a general integral inequality, say a polynomials-based integral inequality, which also contains well-known integral inequalities as special cases. By specially designing slack matrices and an arbitrary vector containing state terms, it reduces to an extended version of Wirtinger-based integral inequality or the free-matrix-based integral inequality. Numerical examples for stability analysis of linear systems with interval time-varying delays show the improved performance of the proposed integral inequality in terms of maximum delay bounds and numbers of variables.