Noise-to-state finite-time practical stability for random nonlinear systems and its application in random Lagrange systems

被引：2
|
作者：
Yao, Liqiang [1 ]
Feng, Likang [1 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
来源：
NONLINEAR DYNAMICS | 2023年 / 111卷 / 09期
关键词：
Noise-to-state finite-time practical stability; Adaptive tracking; Vectorial backstepping; Random Lagrange systems; STABILIZATION; TRACKING;
D O I：
10.1007/s11071-023-08261-9
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The noise-to-state finite-time practical stability for random nonlinear systems and its application is studied in this paper. The definition of noise-to-state finite-time practical stability is firstly introduced in probability sense for random nonlinear systems. Next, the related stability criterion is also given by Lyapunov approach. For random benchmark system, the finite-time adaptive tracking control problem is investigated by the vectorial backstepping method and the obtained stability theorem. Simulation example illustrates that the constructed controller design scheme is effective and feasible.
引用
收藏
页码：8103 / 8113
页数：11
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