On the stability of the discrete time jump linear system

被引:0
作者
Czornik, Adam [1 ]
Nawrat, Aleksander [1 ]
机构
[1] Silesian Tech Univ, Dept Automat Control & Robot, PL-44100 Gliwice, Poland
来源
ICINCO 2006: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS: SIGNAL PROCESSING, SYSTEMS MODELING AND CONTROL | 2006年
关键词
jump linear systems; stability; stabilizability;
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 we investigate the relationships between individual mode stability and mean square stability of jump linear system. It is well known that generally stability of a dynamical system in all its modes does not guarantee stability of the jump linear system defined by all these modes. We present conditions under which stability of all modes implies the mean square stability of the overall system.
引用
收藏
页码:75 / 78
页数:4
相关论文
共 23 条
[1]  
Astrom K. J., 2013, Adaptive Control
[2]   COMMAND AND CONTROL (C2) THEORY - A CHALLENGE TO CONTROL SCIENCE [J].
ATHANS, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (04) :286-293
[3]   MANUFACTURING FLOW-CONTROL AND PREVENTIVE MAINTENANCE - A STOCHASTIC-CONTROL APPROACH [J].
BOUKAS, EK ;
HAURIE, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (09) :1024-1031
[4]   Production and maintenance control for manufacturing systems [J].
Boukas, EK ;
Liu, ZK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (09) :1455-1460
[5]   ROBUST PRODUCTION AND MAINTENANCE PLANNING IN STOCHASTIC MANUFACTURING SYSTEMS [J].
BOUKAS, EK ;
ZHANG, Q ;
YIN, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (06) :1098-1102
[6]   STABILITY RESULTS FOR DISCRETE-TIME LINEAR-SYSTEMS WITH MARKOVIAN JUMPING PARAMETERS [J].
COSTA, OLV ;
FRAGOSO, MD .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 179 (01) :154-178
[7]   Stabilization of continuous-time jump linear systems [J].
Fang, YG ;
Loparo, KA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (10) :1590-1603
[8]   STOCHASTIC STABILITY PROPERTIES OF JUMP LINEAR-SYSTEMS [J].
FENG, XB ;
LOPARO, KA ;
JI, YD ;
CHIZECK, HJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (01) :38-53
[9]   A STABILITY RESULT FOR LINEAR PARAMETER-VARYING SYSTEMS [J].
GUO, D ;
RUGH, WJ .
SYSTEMS & CONTROL LETTERS, 1995, 24 (01) :1-5
[10]   SUFFICIENT CONDITIONS FOR STABILITY OF LINEAR TIME-VARYING SYSTEMS [J].
ILCHMANN, A ;
OWENS, DH ;
PRATZELWOLTERS, D .
SYSTEMS & CONTROL LETTERS, 1987, 9 (02) :157-163