DELAY DEPENDENT STABILIZATION OF LINEAR TIME-VARYING SYSTEM WITH TIME DELAY

被引:9
作者
Alaviani, S. Sh. [1 ]
机构
[1] Amirkabir Univ Technol, Dept Elect Engn, Tehran, Iran
关键词
Stabilization; linear time delay system; time varying system;
D O I
10.1002/asjc.136
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates both stability and stabilization dependent oil the delay of a class of time-varying linear systems with a constant point time delay. The matrices, describing the state space dynamics, are parameterized by time-varying function matrices. A numerical example is given in order to verify the theoretical results.
引用
收藏
页码:557 / 563
页数:7
相关论文
共 8 条
[1]  
Boyd S., 1994, SIAM STUD APPL MATH, V15
[2]   Robust stabilization of a class of polytopic linear time-varying continuous systems under point delays and saturating controls [J].
De la Sen, M. .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (01) :73-83
[3]   Parameter dependent Lyapunov functions for robust stability of time-varying linear systems under point delays [J].
de la Sen, M. .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 179 (02) :612-621
[4]  
Hardy G. H., 1952, INEQUALITIES
[5]  
MATTHEW N, 1992, NUMERICAL TECHNIQUES
[6]   New stabilization criteria for linear time-varying systems with state delay and norm-bounded uncertainties [J].
Phat, VN .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (12) :2095-2098
[7]   Stability of linear time-varying delay systems and applications to control problems [J].
Phat, Vu N. ;
Niamsup, Piyapong .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 194 (02) :343-356
[8]   STABILIZABILITY OF LINEAR TIME-VARYING AND UNCERTAIN LINEAR-SYSTEMS [J].
ROTEA, MA ;
KHARGONEKAR, PP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (09) :884-887