Equi-invariability, bounded invariance complexity and L-stability for control systems
Dynamical Systems
2020-05-22 v1
Abstract
In the paper we introduce the notions of bounded invariance complexity, bounded invariance complexity in the mean and mean L-stability for control systems. Then we characterize these notions by introducing six types of equi-invariability. As by product, two new dichotomy theorems for control system on control sets are established.
Keywords
Cite
@article{arxiv.2005.10457,
title = {Equi-invariability, bounded invariance complexity and L-stability for control systems},
author = {Xingfu Zhong and Zhijing Chen and Yu Huang},
journal= {arXiv preprint arXiv:2005.10457},
year = {2020}
}
Comments
22 pages, 5 figures. It has been accepted for publication in SCIENCE CHINA Mathematics