3 papers
math.DS2022
Invariance entropy for uncertain control systems
Xingfu Zhong, Yu Huang, Xingfu Zou
We introduce a notion of invariance entropy for uncertain control systems, which is, roughly speaking, the exponential growth rate of "branches" of "trees" that are formed by contr…
math.DS2020
Equi-invariability, bounded invariance complexity and L-stability for control systems
Xingfu Zhong, Zhijing Chen, Yu Huang
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 the…
math.DS2018
Weak Mixing in Switched Systems
Yu Huang, Xingfu Zhong
Given a switched system, we introduce weakly mixing sets of type 1, 2 and Xiong chaotic sets of type 1, 2 with respect to a given set and show that they are equivalent respectively…