Stability Analysis of Systems With Periodic Delay Using a Generalized Looped Functional
Abstract
This paper examines the stability of linear time-varying delay systems, assuming that the delay varies periodically within a certain range. By dividing the delay function into intervals that increase and decrease monotonically, and introducing generalized looped functionals within each of these intervals, a new delay-monotonicity-based Lyapunov functional is derived. According to this functional, the integral terms of its derivative are bounded using the third-order Bessel-Legendre inequality(BLI), leading to a sufficient condition that considers periodic delay monotonicity. A numerical example demonstrates that the method proposed in this paper significantly reduces conservatism.
Fields of Study & Subjects
Stability and Control of Uncertain Systems
Neural Networks Stability and Synchronization
Control and Stability of Dynamical Systems
Publication details
- Journal / source
- IEEE Access
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Volume
- 14
- Pages
- 10883–10890
- Publication date
- 1 January 2026