Finite-Time Stability of Impulsive and Switched Hybrid Systems With Delay-Dependent Impulses

Taixiang Zhang, Jinde Cao, Mahmoud Abdel‐Aty, Ardak Kashkynbayev

2025

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DOI 10.1109/jas.2024.124758
Data confidence 70 medium
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Abstract

This letter studies finite-time stability (FTS) of impulsive and switched hybrid systems with delay-dependent impulses. Some conditions, based on Lyapunov method, are proposed for ensuring FTS and estimating settling-time function (STF) of the hybrid systems. When switching dynamics are FTS and impulsive dynamics involve destabilizing delay-dependent impulses, the FTS is retained if the impulses occur infrequently. When switching dynamics may not be FTS and impulsive dynamics involve stabilizing delay-dependent impulses, the uninterrupted impulses can achieve the FTS of hybrid system. Moreover, the STF presents a class of uniformity about the impulsive and switching hybrid signals. The analysis is illustrated by a practical example.