Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems. Issue 12 (December 2015)

• Record Type: Journal Article
• Authors: Nam, P.T.; Trinh, H.; Pathirana, P.N.
• Is Part Of: Journal of the Franklin Institute. Volume 352:Issue 12(2015:Dec.)
• Page Start: 5810
• Page End: 5831
• Publication Date: 2015-12
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2015.09.018
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper presents new discrete inequalities for single summation and double summation. These inequalities are based on multiple auxiliary functions and include the Jensen discrete inequality and the discrete Wirtinger-based inequality as special cases. An application of these discrete inequalities to analyze stability of linear discrete systems with an interval time-varying delay is studied and a less conservative stability condition is obtained. Three numerical examples are given to show the effectiveness of the obtained stability condition.