Blowing up affine hybrid systems

被引：7
作者：
Ames, AD [1 ]
Sastry, S [1 ]
机构：
[1] Univ Calif Berkeley, Dept EECS, Berkeley, CA 94720 USA
来源：
2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5 | 2004年
关键词：
D O I：
10.1109/CDC.2004.1428675
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 construct the "blow up" of an affine hybrid system H, i.e., a new affine hybrid system Bl(H) in which H is embedded, that does not exhibit Zeno behavior. We show the existence of a bijection Y between periodic orbits and equilibrium points of H and Bl(H) that preserves stability; we refer to this property as P-stability equivalence.
引用
收藏
页码：473 / 478
页数：6
相关论文
共 11 条
[1]  
Ames AD, 2004, LECT NOTES COMPUT SC, V2993, P16
[2]  
[Anonymous], P 39 IEEE C DEC CONT
[3]  
BRANICKY MS, 1997, P 36 IEEE C DEC CONT
[4]  
HARTSHORNE R, 1977, SER GRADUATE TEXTS M, V52
[5]  
HEYMANN M, 2002, P 41 IEEE C DEC CONT
[6]  
HU B, 1997, P 36 IEEE C DEC CONT
[7]  
JOHANSSON KH, 1999, P 38 IEEE C DEC CONT
[8]   Basic problems in stability and design of switched systems [J].
Liberzon, D ;
Morse, AS .
IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05) :59-70
[9]  
Sastry S., 1999, NONLINEAR SYSTEMS AN
[10]  
Simic SN, 2000, LECT NOTES COMPUT SC, V1790, P421
12