Robust stability of uncertain fractional order singular systems with neutral and time-varying delays

被引：13
|
作者：
Wu, Qian [1 ]
Song, Qiankun [2 ,3 ]
Hu, Binxin [2 ]
Zhao, Zhenjiang [4 ]
Liu, Yurong [5 ,6 ,7 ]
Alsaadi, Fuad E. [7 ]
机构：
[1] Chongqing Jiaotong Univ, Sch Econ & Management, Chongqing 400074, Peoples R China
[2] Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
[3] Chongqing Jiaotong Univ, State Key Lab Mt Bridge & Tunnel Engn, Chongqing 400074, Peoples R China
[4] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[5] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China
[6] Yancheng Inst Technol, Sch Math & Phys, Yancheng 224051, Peoples R China
[7] King Abdulaziz Univ, Fac Engn, Commun Syst & Networks CSN Res Grp, Jeddah 21589, Saudi Arabia
来源：
NEUROCOMPUTING | 2020年 / 401卷 / 401期
基金：
中国国家自然科学基金;
关键词：
Fractional singular system; Robust stability; Lyapunov approach; Neutral delays; Time-varying delays; RECURSIVE STATE ESTIMATION; COMPLEX NETWORKS; ASYMPTOTICAL STABILITY; NONLINEAR-SYSTEMS; NEURAL-NETWORKS; PARTIAL-NODES; JUMP SYSTEMS; H-INFINITY; DISCRETE; CRITERIA;
D O I：
10.1016/j.neucom.2020.03.015
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the robust stability of uncertain fractional order singular systems with neutral and time-varying delays is investigated. By applying Lyapunov-Krasovskii functional approach, several sufficient conditions in the form of linear matrix inequality to ensure asymptotical stability and robust stability are derived for the considered systems. The advantage of the employed method in this paper is that one may directly calculate integer-order derivatives of Lyapunov-Krasovskii functional. Several simple examples are given to illustrate the effectiveness of the obtained results. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页码：145 / 152
页数：8
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