Improved delay-range-dependent stability analysis of a time-delay system with norm bounded uncertainty

- This paper presents new and improved robust stability criteria for uncertain time-delay system following two different approaches-(i) non delay partitioning (NDP) and (ii) delay partitioning (DP).
- Comparative stability results are presented for numerical examples based on the methods adopted. This work discusses the relative tradeoff between two methods and reasons in increased computational burden of the methods.

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.