2026-10-14T11:22:02Z https://www.scidb.cn/oai

10.57760/sciencedb.02177 2022-08-17T21:16:37Z

2022-08-17 Fixed-Time and Predefined-Time Stability of Impulsive Systems doi:10.57760/sciencedb.02177 en Several criteria for fixed-time stability and predefined-time stability of impulsive systems are established. First, sufficient conditions for fixed-time stability of impulsive systems are presented to treat the destabilizing impulses and hybrid impulses involving multiple jump maps by fixed-time control without linear feedback regulation. It determines the robustness of nonlinear systems against impulsive disturbance which has destabilizing and hybrid effect to dynamics. Then, the predefined-time stability of impulsive systems is ensured under the requirement that the hybrid impulses have stabilizing accumulative effect. Finally, the validity of theoretical results is verified by the allocation of mobile agents on a segment via fixed-time control with impulsive regulation. Fixed-time stability ; Predefined-Time Stability; Hybrid impulse; Impulsive regulation Tengda Wei Xiaodi Li PUBLIC https://creativecommons.org/licenses/by-nc-nd/4.0/ dataset http://www.doi.org/10.1109/jas.2023.123147 Science Data Bank