In this paper,we introduce the notions of bounded invariance complexity,bounded invariance complexity in the mean and mean Lyapunov-stability for control systems.Then we characterize these notions by introducing six t...In this paper,we introduce the notions of bounded invariance complexity,bounded invariance complexity in the mean and mean Lyapunov-stability for control systems.Then we characterize these notions by introducing six types of equi-invariability.As a by-product,two new dichotomy theorems for the control system on the control sets are established.展开更多
基金National Natural Science Foundation of China(Grant No.11771459)supported by Research Funds of Guangdong University of Foreign Studies(Grant Nos.299-X5218165 and 299-X5219222)+3 种基金Guangdong Basic and Applied Basic Research Foundation(Grant No.2019A1515110932)supported by National Natural Science Foundation of China(Grant Nos.11701584 and 11871228)the Natural Science Research Project of Guangdong Province(Grant No.2018KTSCX122)。
文摘In this paper,we introduce the notions of bounded invariance complexity,bounded invariance complexity in the mean and mean Lyapunov-stability for control systems.Then we characterize these notions by introducing six types of equi-invariability.As a by-product,two new dichotomy theorems for the control system on the control sets are established.
