Time-domain boundedness of noise-to-state exponentially stable systems

被引：2
|
作者：
Fang, Zhou [1 ]
Gao, Chuanhou [1 ]
机构：
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2020年 / 26卷
关键词：
Noise-to-state exponential stability; stochastic differential equation; persistent noise; loop; time-domain boundedness; STABILIZATION; STABILITY;
D O I：
10.1051/cocv/2020037
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we prove the time-domain boundedness for noise-to-state exponentially stable systems, and further make an estimation of its lower bound function, which allows to answer the question that how long the solution of a stochastic noise-to-state exponentially stable system stays in the domain of attraction and what happens with it if it escapes from this region for a while. The results will complement the probability-domain boundedness of noise-to-state exponentially stable systems, and provide a new insight into noise-to-state exponential stability.
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收藏
页数：23
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