@inproceedings{d93c790ea1434dfaa922ba890573beb1,
title = "Water drops on generic Lipschitz continuous surfaces in the sense of differential inclusion solutions",
abstract = "In this paper, the classical phenomenon of water drops on surfaces is investigated from a mathematical analysis point of view, where the surfaces are extended to generic Lipschitz continuous surfaces instead of smooth ones in the state space. According to the possible nonsmoothness of the surfaces, the problem of solution motions of the system is further discussed in an uniform framework of Filippov differential inclusion obtained from the original differential equation. The motion of the water drops with respect to generic Lipschitz surfaces as well as the equilibrium points on the surface is analyzed and some numerical examples are presented to illustrate the validity of the analysis.",
keywords = "Differential Inclusion, Lipschitz Continuous Surfaces, Solution Motions, Water Drops",
author = "Xin Huo and Zhaosheng Guo and Kai Zheng",
note = "Publisher Copyright: {\textcopyright} 2015 Technical Committee on Control Theory, Chinese Association of Automation.; 34th Chinese Control Conference, CCC 2015 ; Conference date: 28-07-2015 Through 30-07-2015",
year = "2015",
month = sep,
day = "11",
doi = "10.1109/ChiCC.2015.7259699",
language = "英语",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "581--586",
editor = "Qianchuan Zhao and Shirong Liu",
booktitle = "Proceedings of the 34th Chinese Control Conference, CCC 2015",
address = "美国",
}