On Notions of Output Finite-Time Stability

被引：2
|
作者：
Zimenko, Konstantin [1 ]
Efimov, Denis [1 ,2 ]
Polyakov, Andrey [1 ,2 ]
Kremlev, Artem [1 ]
机构：
[1] ITMO Univ, Fac Control Syst & Robot, 49 Kronverkskiy Ave, St Petersburg 197101, Russia
[2] Univ Lille, INRIA, CNRS, UMR CRIStAL 9189, F-59000 Lille, France
来源：
2019 18TH EUROPEAN CONTROL CONFERENCE (ECC) | 2019年
基金：
俄罗斯科学基金会;
关键词：
INPUT; STABILIZATION;
D O I：
10.23919/ECC.2019.8796039
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Lyapunov characterizations of output finite-time stability are presented for the system (x) over dot = f(x), y = h(x) which is locally Lipschitz continuous out of the set Y = {x is an element of R-n : h(x) = 0} and continuous on Rn. The definitions are given in the form of K and KL functions. Necessary and sufficient conditions for output finite-time stability are given using Lyapunov functions. The theoretical results are supported by numerical examples.
引用
收藏
页码：186 / 190
页数：5
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