On the stability of a class of nonlinear differential time-delay control systems in Banach spaces

被引：0
作者：
Phat, VN [1 ]
机构：
[1] Univ New S Wales, Sch Elect Engn & Telecommun, Sydney, NSW 2052, Australia
来源：
CONTEMPORARY DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2004年
关键词：
stabilizability; time-delay; output feedback; Banach space; Lyapunov equation; nonlinear systems; Gronwall inequality;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper studies a stabilizability problem for a class of nonlinear time-delay control systems by means of linear feedback controls. The system is allowed to be infinite-dimensional with multiple delays on the controls and states in nonlinear perturbations. Sufficient conditions for the stabilizability of the system are established via the stability of linear underlying system. The obtained results are based on extensions of the Lyapunov theorem to the time-varying case in a Banach space and the Gronwall inequality
引用
收藏
页码：35 / 48
页数：14
相关论文
共 50 条
[1]   Absolute exponential stability criteria for a class of nonlinear time-delay systems [J].
Zhang, Baoyong ;
Lam, James ;
Xu, Shengyuan ;
Shu, Zhan .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (03) :1963-1976
[2]   Stability Analisys for a Class of Sampled Nonlinear Systems with Time-Delay [J].
Castillo-Toledo, B. ;
Di Gennaro, S. ;
Sandoval Castro, G. .
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, :1575-1580
[3]   L∞-stability of nonlinear time-delay systems [J].
He, HL ;
Zhou, BH ;
Li, W .
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 :968-973
[4]   Disturbance decoupling control for a class of nonlinear time-delay systems [J].
Gong, Qingxian ;
Zhang, Huaguang ;
Song, Chonghui ;
Liu, Derong .
WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, :878-+
[5]   Adaptive Fuzzy Control for a Class of Nonlinear Time-Delay Systems [J].
Chen, Yizhu ;
Shao, Liyuan ;
Liu, Siwen ;
Zhang, Yanlong ;
Wang, Huanqing .
PROCEEDINGS OF 2020 IEEE 9TH DATA DRIVEN CONTROL AND LEARNING SYSTEMS CONFERENCE (DDCLS'20), 2020, :1125-1130
[6]   An adaptive control framework for a class of nonlinear time-delay systems [J].
Nguyen, Kim-Doang .
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2023, 45 (07) :1271-1281
[7]   The Stability Analysis for a Class of Time-Delay Networked Control Systems [J].
Xiao, Shenping ;
Guo, Lixin ;
Wang, Liyan .
26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, :4977-4980
[8]   Global adaptive output feedback control for a class of nonlinear time-delay systems [J].
Zhai, Jun-yong ;
Zha, Wen-ting .
ISA TRANSACTIONS, 2014, 53 (01) :2-9
[9]   Adaptive Output Feedback Control for A Class of Nonlinear Time-Delay Systems with Input and Output Quantization [J].
Zhai, Junyong ;
Zhu, Yi .
2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, :648-653
[10]   Asymptotical stability of a class of homogeneous nonlinear switching systems with time-delay [J].
Mu, XW ;
Yu, JY .
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 :952-959
12345