title: Improved delay-range-dependent stability analysis of a time-delay system with norm bounded uncertainty.
abstract: This paper presents improved robust delay-range-dependent stability analysis of an uncertain linear time-delay system following two different existing approaches - (i) non-delay partitioning (NDP) and (ii) delay partitioning (DP). The derived criterion (for both the approaches) proposes judicious use of integral inequality to approximate the uncertain limits of integration arising out of the time-derivative of Lyapunov-Krasovskii (LK) functionals to obtain less conservative results. Further, the present work compares both the approaches in terms of relative merits as well as highlights tradeoff for achieving higher delay bound and (or) reducing number of decision variables without losing conservatism in delay bound results. The analysis and discussion presented in the paper are validated by considering relevant numerical examples.
authors.affiliation: Department of Electrical Engineering, National Institute of Technology, Silchar 788010, India.
authors.forename: Rajeeb
authors.initials: R
authors.lastname: Dey
authors.affiliation: Department of Electrical Engineering, National Institute of Technology, Rourkela 769008, India.
authors.forename: Sandip
authors.initials: S
authors.lastname: Ghosh
authors.affiliation: Department of Electrical Engineering, Indian Institute of Technology, Kharagpur 721302, India.
authors.forename: Goshaidas
authors.initials: G
authors.lastname: Ray
authors.affiliation: Department of Electrical Engineering, Jadavpur University, Kolkata 700032, India.
authors.forename: Anjan
authors.initials: A
authors.lastname: Rakshit
authors.affiliation: Department of Automatics and Applied Informatics, Aurel Vlaicu University, Arad 310130, Romania.
authors.forename: Valentina Emilia
authors.initials: VE
authors.lastname: Balas
keywords: Linear matrix inequality (LMI); Lyapunov–Krasovskii (LK) functional; Robust stability; Time-delay systems (TDS)