Stability analysis of random nonlinear systems with time-varying delay and its application

被引：34
作者：
Yao, Liqiang [1 ,2 ]
Zhang, Weihai [2 ]
Xie, Xue-Jun [3 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Shandong, Peoples R China
[3] Qufu Normal Univ, Inst Automat, Qufu 273165, Shandong, Peoples R China
来源：
AUTOMATICA | 2020年 / 117卷
基金：
中国国家自然科学基金;
关键词：
Random nonlinear systems; Time-varying delay; Regulation controller; Noise-to-state stability; ADAPTIVE STABILIZATION; NOISE; TRACKING;
D O I：
10.1016/j.automatica.2020.108994
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies a class of random nonlinear systems with time-varying delay, in which the r-order moment of the random disturbance is finite. Firstly, some general conditions are proposed to guarantee the existence and uniqueness of the global solution to random nonlinear time-delay systems. Secondly, some criteria on noise-to-state stability in the moment sense and in probability sense are given by Lyapunov method respectively. Finally, an adaptive output feedback regulation controller is constructed for a class of random nonlinear time-delay systems and the effectiveness of the proposed recursive procedure is demonstrated by a simulation example. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：9
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