A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function. (June 2017)

• Record Type: Journal Article
• Authors: Lee, Tae H.; Park, Ju H.
• Is Part Of: Automatica. Volume 80(2017)
• Page Start: 239
• Page End: 242
• Publication Date: 2017-06
• Subjects: Stability -- Time-varying delay -- Matrix-refined-function -- Lyapunov theorem; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2017.02.004
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper is concerned with the development of novel stability criteria for time-varying delayed systems. To this end, a new function which consisted of two quadratic functions with a special structural matrix is established to be a Lyapunov functional candidate. The proposed Lyapunov functional plays key role to decrease the conservatism of derived conditions which is verified by three numerical examples.