Necessary and Sufficient Conditions for Finite-Time Boundedness of Linear Discrete-Time Systems

被引：4
|
作者：
Ichihara, Hiroyuki [1 ]
Katayama, Hitoshi [2 ]
机构：
[1] Kyushu Inst Technol, Dept Syst Design & Informat, Iizuka, Fukuoka 8208502, Japan
[2] Shizuoka Univ, Dept Elect & Elect Engn, Hamamatsu, Shizuoka 4328561, Japan
来源：
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
关键词：
STABILITY; CONSTRAINTS;
D O I：
10.1109/CDC.2009.5399626
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Finite-time stability (FTS) requires that the state of a system does not exceed a certain bound during a specified time interval for given bound on the initial state. The concept of FTS introduced exogenous inputs is called finite-time boundedness (FTB). This paper gives necessary and sufficient conditions for FTB of linear time-varying discrete-time systems. The conditions are extensions of those for FTS and are related to a quadratic optimization problem. Sufficient conditions are also derived in terms of difference linear matrix inequalities. Numerical examples show an exact bound and upper bounds of FTB by solving the obtianed conditions.
引用
收藏
页码：3226 / 3231
页数：6
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