@inproceedings{599a1f1b69b944b2907cf16787ccc8a6,
title = "Accurate expression and high-precision estimation of ∥ e at∥2",
abstract = "The state transition matrix e\{At\} and its norm Vert e\{At\}Vert-\{2\} play an indispensable role in the analysis and design of control systems. Existing literature has provided two kinds of estimation results of Vert e\{At\}Vert-\{2\}. However, because of rather low precision, they can only be applied for stability, local controllability, observability analysis, and it is incapable for them to estimate the dynamic performance indexes. Main contributions of our work are summarized as two aspects: 1) the accurate expressions of Vert e\{At\}Vert-\{2\} while A is normal and 2) the high-precision estimation results of Vert e\{At\}Vert-\{2\} while A is nonnormal. Furthermore, these results above not only effectively reduce a lot of computation load but also significantly improve estimation precision, and they can be used to estimate the dynamic performance index of control systems.",
keywords = "accurate expression, control system, dynamic performance, high-precision estimation",
author = "Zhuo Wang and Qi Yuan and Sixun Liu",
note = "Publisher Copyright: {\textcopyright} 2022 Technical Committee on Control Theory, Chinese Association of Automation.; 41st Chinese Control Conference, CCC 2022 ; Conference date: 25-07-2022 Through 27-07-2022",
year = "2022",
doi = "10.23919/CCC55666.2022.9902415",
language = "英语",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "13--18",
editor = "Zhijun Li and Jian Sun",
booktitle = "Proceedings of the 41st Chinese Control Conference, CCC 2022",
address = "美国",
}