Finite-time stability of linear time-varying continuous system with time-delay

被引：0
作者：
Liu Hao [1 ]
Zhou Guopeng [2 ]
Lei Tao [2 ]
Tian Fengxia [2 ]
机构：
[1] Shenyang Aerosp Univ, Fac Aerosp Engn, Shenyang 110136, Peoples R China
[2] Hubei Univ Sci & Technol, Inst Engn & Technol, Xianning 437100, Peoples R China
来源：
2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2015年
关键词：
Finite-time stability; Continuous system; Time-delay system; Discretized Lyapunov function; H-INFINITY CONTROL; STABILIZATION; BOUNDEDNESS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of finite-time stability (FTS) of linear time-varying continuous system with time-delay is investigated. A sufficient condition is proposed for FTS of linear time-delay system in terms of differential linear matrix inequalities (LMIs). In order to solve the continuous-time differential LMI within a finite-time interval, a new method is given based on the discretized Lyapunov function technology, which is less conservative than discretizing the time interval approach. Numerical example illustrates the solvability of the given result.
引用
收藏
页码：6063 / 6068
页数：6
相关论文
共 22 条
[1]   Finite-time stabilization via dynamic output feedback [J].
Amato, F ;
Ariola, M ;
Cosentino, C .
AUTOMATICA, 2006, 42 (02) :337-342
[2]   Finite-time control of linear time-varying systems via output feedback [J].
Amato, F ;
Ariola, M ;
Cosentino, C .
ACC: Proceedings of the 2005 American Control Conference, Vols 1-7, 2005, :4722-4726
[3]   Finite-time control of discrete-time linear systems [J].
Amato, F ;
Ariola, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) :724-729
[4]   Finite-time control of linear systems subject to parametric uncertainties and disturbances [J].
Amato, F ;
Ariola, M ;
Dorato, P .
AUTOMATICA, 2001, 37 (09) :1459-1463
[5]  
Amato F., 2005, P AM CONTR C, P1440
[6]   Finite-time control of discrete-time linear systems: Analysis and design conditions [J].
Amato, Francesco ;
Ariola, Marco ;
Cosentino, Carlo .
AUTOMATICA, 2010, 46 (05) :919-924
[7]   Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design [J].
Amato, Francesco ;
Ariola, Marco ;
Cosentino, Carlo .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (04) :1003-1008
[8]   Finite-time stability of linear time-varying systems with jumps [J].
Amato, Francesco ;
Ambrosino, Roberto ;
Ariola, Marco ;
Cosentino, Carlo .
AUTOMATICA, 2009, 45 (05) :1354-1358
[9]  
Du HB, 2010, KYBERNETIKA, V46, P870
[10]   Finite-Time Stabilization of Linear Time-Varying Continuous Systems [J].
Garcia, Germain ;
Tarbouriech, Sophie ;
Bernussou, Jacques .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (02) :364-369
123