Some Simulation Examples and Stability Analysis of Third Order Homogeneous Systems
Authors
Wenguang Zhang, Lingdong Zeng, Jianting Zheng, Junwei Lei
Corresponding Author
Wenguang Zhang
Available Online May 2018.
- DOI
- 10.2991/amcce-18.2018.142How to use a DOI?
- Keywords
- Stability; Simulation; Control system; Lyapunov function; Third order system
- Abstract
Three kinds of third order systems was studied to check the stability of homogenous type systems. And a Lyapunov function is chose to prove the stability of homogenous nonlinear system and it was found that it is very difficult to prove the stability without homogenous theorem. Also numerical simulations were done the show the stability of three typical third order systems. And simulation result shows that the classical homogenous system is only stable in a small scope. But for linear systems, the stability is large range.
- Copyright
- © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Wenguang Zhang AU - Lingdong Zeng AU - Jianting Zheng AU - Junwei Lei PY - 2018/05 DA - 2018/05 TI - Some Simulation Examples and Stability Analysis of Third Order Homogeneous Systems BT - Proceedings of the 2018 3rd International Conference on Automation, Mechanical Control and Computational Engineering (AMCCE 2018) PB - Atlantis Press SP - 812 EP - 818 SN - 2352-5401 UR - https://doi.org/10.2991/amcce-18.2018.142 DO - 10.2991/amcce-18.2018.142 ID - Zhang2018/05 ER -