TITLE:
H∞ Control of Impulsive Switched Systems with Time-Varying Delays
AUTHORS:
Xiaohui Duan, Yuhan Yin
KEYWORDS:
Impulsive Switched Time-Varying Delay System, Control, Average Dwell-Time, Lyapunov-Krasovskii Functional, Lyapunov-Razumikhin Technique
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.4,
April
20,
2026
ABSTRACT: This paper investigates the issue of
H
∞
control for impulsive switched linear systems with time-varying delays. The effect of two types of impulses, namely stabilizing impulses and destabilizing impulses, on the systems is fully considered. Correspondingly, the Lyapunov-Razumikhin (L-R) technique and Lyapunov-Krasovskii (L-K) functional are used to deal with the time-varying delays, some conditions are given for the
H
∞
control of the systems. A relationship among the ADT conditions, impulses, and continuous dynamics is established. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.