@article{Li2024, 
author = {Chenchen Li and Chunyan Zhang and Lichao Feng and Zhihui Wu},
title = {Note on prescribed-time stability of impulsive piecewise-smooth differential systems and application in networks},
year = {2024},
journal = {Networks and Heterogeneous Media},
volume = {19},
number = {3},
pages = {970-991},
keywords = {feedback controller, impulsive piecewise-smooth differential systems, prescribed-time stability, prescribed-time synchronization},
url = {https://www.sciopen.com/article/10.3934/nhm.2024043},
doi = {10.3934/nhm.2024043},
abstract = {We explored the prescribed-time stability (PTSt) of impulsive piecewise smooth differential systems (IPSDS) based on the Lyapunov theory and set-valued analysis technology, allowing flexibility in selecting the settling time as desired. Furthermore, by developing a feedback controller, we employed the theoretical results to evaluate the synchronization behavior of impulsive piecewise-smooth network systems (IPSNS) within a prescribed time frame and obtained novel criteria to guarantee the synchronization objective. A numerical example was presented to validate the accuracy of the results.}
}