@article{Zhang2024, 
author = {Xipan Zhang and Changchun Shen and Dingju Xu},
title = {Reachable set estimation for neutral semi-Markovian jump systems with time-varying delay},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {8043-8062},
keywords = {bound of reachable set, neutral semi-Markovian jump systems, Lyapunov-Krasovskii, Linear matrix inequalities},
url = {https://www.sciopen.com/article/10.3934/math.2024391},
doi = {10.3934/math.2024391},
abstract = {This work addresses the issue of finding ellipsoidal bounds of reachable sets for neutral semi-Markovian jump systems with time-varying delay and bounded peak disturbances, for which the related result has been rarely proposed for neutral semi-Markovian jump systems. Based on the modified improved Lyapunov-Krasovskii functional, a boundary of the reachable set for neutral semi-Markovian jump systems was obtained with the aid of utilizing a novel integral inequality and combining with the time-delay segmentation technique. The numerical examples are supplied to verify the effectiveness of the obtained results.}
}