Advanced stability criteria for linear systems with time-varying delays. Issue 1 (January 2018)

• Record Type: Journal Article
• Authors: Park, M.J.; Kwon, O.M.; Ryu, J.H.
• Is Part Of: Journal of the Franklin Institute. Volume 355:Issue 1(2018)
• Page Start: 520
• Page End: 543
• Publication Date: 2018-01
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2017.11.029
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper investigates a stability problem for linear systems with time-varying delays. By constructing suitable augmented Lyapunov–Krasovskii functionals, improved stability criteria under various conditions of time-varying delays are derived within the framework of linear matrix inequalities (LMIs). Moreover, to reduce the computational burden caused by the non-convex term including h 2 ( t ), how to deal with it is applied by estimating it to the convex term including h ( t ). Finally, three illustrative examples are given to show the effectiveness of the proposed criteria.