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

页码：35 / 48

页数：14

共 50 条

[41] Exponential Stability of Nonlinear Stochastic Systems with Time-delay [J].

Qian, Wei ;

Wang, Shaohua ;

Liu, Juan .

JOURNAL OF COMPUTERS, 2013, 8 (02) :493-500

[42] Stability analysis of nonlinear time-delay singular systems [J].

Wang, RL ;

Yuan, CA ;

Wang, J .

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 :929-934

[43] Noise-to-state stability analysis for a class of random time-delay nonlinear systems [J].

Jiao, Ticao ;

Zong, Guangdeng ;

Zhang, Cunshan ;

Du, Qinjun ;

Zhao, Yanlei .

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2018, 40 (09) :2765-2770

[44] The problem of absolute stability of a class of Lurie switched time-delay systems [J].

Mao Bei-Xing ;

Wang Dong-Xiao .

MATERIALS SCIENCE AND INFORMATION TECHNOLOGY, PTS 1-8, 2012, 433-440 :2641-2644

[45] Delay-dependent stability and H∞ control for a class of fuzzy descriptor systems with time-delay [J].

Zhang, Hongbin ;

Shen, Yanyan ;

Feng, Gang .

FUZZY SETS AND SYSTEMS, 2009, 160 (12) :1689-1707

[46] DESIGN OF OBSERVER-BASED FEEDBACK CONTROL FOR A CLASS OF DISCRETE-TIME NONLINEAR SYSTEMS WITH TIME-DELAY [J].

Dong, Yali ;

Zhang, Yan ;

Zhang, Xuehua .

APPLIED AND COMPUTATIONAL MATHEMATICS, 2014, 13 (01) :107-121

[47] Dissipative Control For A Class Of Neutral Time-delay Systems [J].

Wang, Jichun ;

Han, Weiguang ;

Zhang, Bin ;

Xiao, Dong .

2023 35TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC, 2023, :4806-4810

[48] PASSIVE CONTROL FOR A CLASS OF UNCERTAIN TIME-DELAY SYSTEMS [J].

李志虎 ;

邵惠鹤 .

JournalofShanghaiJiaotongUniversity, 2001, (01) :36-39+43

[49] Fixed-time stabilization for a class of nonlinear time-delay systems [J].

Wang, Xuhuan ;

Peng, Youhua ;

Xie, Yuande .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (09) :9876-9886

[50] Robust Control for a Class of Time-delay Nonlinear Systems via Output Feedback Strategy [J].

Wu, Kang ;

Liu, Zhen-Guo ;

Sun, Chang-Yin .

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2018, 16 (03) :1091-1102

← 1 2 3 4 5 →