Robust finite-time stability of singular nonlinear systems with interval time-varying delay

被引：75
作者：
Yang, Xueyan [1 ]
Li, Xiaodi [1 ,2 ,3 ]
Cao, Jinde [1 ,4 ,5 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
[2] Shandong Normal Univ, Shandong Prov Key Lab Med Phys & Image Proc Techn, Jinan 250014, Shandong, Peoples R China
[3] Shandong Normal Univ, Inst Data Sci & Technol, Jinan 250014, Shandong, Peoples R China
[4] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[5] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 03期
基金：
中国国家自然科学基金;
关键词：
NEURAL-NETWORKS; LINEAR-SYSTEMS; EXPONENTIAL STABILITY; JUMP SYSTEMS; DISCRETE; BOUNDEDNESS; CRITERIA; STABILIZATION; DESIGN;
D O I：
10.1016/j.jfranklin.2017.12.018
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 problem of robust finite-time stability (RFTS) for singular nonlinear systems with interval time-varying delay is studied in this paper. Some delay-dependent sufficient conditions of RFTS are derived in the form of the linear matrix inequalities (LMIs) by using Lyapunov-Krasovskii functional (LKF) method and singular analysis technique. Two examples are provided to show the applications of the proposed criteria. (c) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1241 / 1258
页数：18
相关论文
共 49 条
[41]   Asynchronous Dissipative Control for Fuzzy Markov Jump Systems [J].
Wu, Zheng-Guang ;
Dong, Shanling ;
Su, Hongye ;
Li, Chuandong .
IEEE TRANSACTIONS ON CYBERNETICS, 2018, 48 (08) :2426-2436
[42]   Passivity-Based Asynchronous Control for Markov Jump Systems [J].
Wu, Zheng-Guang ;
Shi, Peng ;
Shu, Zhan ;
Su, Hongye ;
Lu, Renquan .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (04) :2020-2025
[43]   Asynchronous l2-l∞ filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities [J].
Wu, Zheng-Guang ;
Shi, Peng ;
Su, Hongye ;
Chu, Jian .
AUTOMATICA, 2014, 50 (01) :180-186
[44]   Delay-dependent H∞ filtering for singular Markovian jump time-delay systems [J].
Wu, Zhengguang ;
Su, Hongye ;
Chu, Jian .
SIGNAL PROCESSING, 2010, 90 (06) :1815-1824
[45]   Delay-dependent H∞ control for singular Markovian jump systems with time delay [J].
Wu, Zhengguang ;
Su, Hongye ;
Chu, Jian .
OPTIMAL CONTROL APPLICATIONS & METHODS, 2009, 30 (05) :443-461
[46]  
Xu S., 2006, ROBUST CONTROL FILTE
[47]   An improved characterization of bounded realness for singular delay systems and its applications [J].
Xu, Shengyuan ;
Lam, James ;
Zou, Yun .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2008, 18 (03) :263-277
[48]   Exponential stability of hybrid switched nonlinear singular systems with time-varying delay [J].
Zamani, Iman ;
Shafiee, Masoud ;
Ibeas, Asier .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (01) :171-193
[49]   Finite-time boundedness for uncertain discrete neural networks with time-delays and Markovian jumps [J].
Zhang, Yingqi ;
Shi, Peng ;
Nguang, Sing Kiong ;
Zhang, Jianhua ;
Karimi, Hamid Reza .
NEUROCOMPUTING, 2014, 140 :1-7
12345