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  5. Equi-invariability,bounded invariance complexity and L-stability for control systems

Equi-invariability,bounded invariance complexity and L-stability for control systems

来源 :中国科学：数学（英文版） | 被引量 : 0次 | 上传用户：xiameng
【摘 要】
：
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-pro
【作 者】
：
Xing-fu Zhong Zhi-jing Chen Yu Huang 
【机 构】
：
School of Mathematics and Statistics,Guangdong University of Foreign Studies,Guangzhou 510006,China;
【出 处】
：
中国科学：数学（英文版）
【发表日期】
：
2021年10期
【关键词】
：
equi-invariability invariance complexity dichotomy theorem control set invarianc 
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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.
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