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Zhao, X., Zhang, L., Shi, P. and Liu, M. (2012) Stability and Stabilization of Switched Linear Systems with Mode-Dependent Average Dwell Time. IEEE Transactions on Automatic Control, 57, 1809-1815.
https://doi.org/10.1109/tac.2011.2178629

has been cited by the following article:

• 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.