New Delay Product Type Lyapunov-Krasovskii Functional for Stability Analysis of Time-Delay System

Abstract

This paper concerns delay-dependent stability analysis of linear system with time-varying delay. A new delay-product based functional (DPF) is formulated by including the new states introduced in the second order Bessels-Legendre integral inequality. Two delay-dependent stability criteria are derived in terms of linear matrix inequalities by utilizing this DPF in combination with improved reciprocally convex lemma and bounding technique reciprocal lemma. Two numerical examples are considered for demonstrating the improvement provided by the proposed criteria. © 2020, Springer Nature Switzerland AG.