Equi-invariability, bounded invariance complexity and L-stability for control systems
arXiv:2005.10457
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.
22 pages, 5 figures. It has been accepted for publication in SCIENCE CHINA Mathematics