Relaxed stability criteria of time-varying delay systems via delay-derivative-dependent slack matrices

This paper is focused on delay-dependent stability problem of time-varying delay systems. By in-troducing delay-derivative-dependent slack matrices, relaxed stability conditions are derived based on Lyapunov-Krasovskii functional approach. As the delay-derivative-dependent slack matrices provide ex-tra freedom to optimize the Lyapunov matrices, less conservative results are obtained. Two benchmark examples are provided to verify the effectiveness of the proposed approach. (c) 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.