On reachable set estimation of nonlinear singular systems with distributed delay

被引：3
作者：
Zhang, Liang [1 ,2 ]
Feng, Zhiguang [1 ]
Wang, Ye [1 ]
Wang, Shuqiang [3 ]
机构：
[1] Harbin Engn Univ, Coll Intelligent Syst Sci & Engn, Harbin 150001, Heilongjiang, Peoples R China
[2] Bohai Univ, Coll Control Sci & Engn, Jinzhou, Peoples R China
[3] Chinese Acad Sci, Shenzhen Inst Adv Technol, Shenzhen, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING | 2021年 / 35卷 / 10期
基金：
中国博士后科学基金;
关键词：
distributed delay; nonlinear term; reachable set; singular system; DESCRIPTOR SYSTEMS; LINEAR-SYSTEMS; ROBUST-CONTROL; TIME; STABILITY; DISCRETE;
D O I：
10.1002/acs.3295
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The estimation of the reachable set for singular systems with distributed delay and nonlinear term under zero initial condition is studied in this article. Based on the Lyapunov functional with triple integrals, a sufficient condition for bounding the reachable set is established by combining the free-weighting matrix method, the integral mean value theorem, and the new inequality scaling method. Then the reachable set of nonlinear singular system is bounded by the prescribed ellipsoids. Finally, two numerical examples and a practical example verify the validity of the theoretical analysis.
引用
收藏
页码：1958 / 1969
页数：12
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