Zeno behavior in homogeneous hybrid systems

被引：13

作者：

Goebel, Rafal ^{[1
]}

Teel, Andrew R. ^{[2
]}

机构：

[1] Loyola Univ, Dept Math & Stat, Chicago, IL 60626 USA

[2] Univ Calif Santa Barbara, Dept ECE, Santa Barbara, CA 93106 USA

来源：

47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008) | 2008年

关键词：

D O I：

10.1109/CDC.2008.4739223

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The link between Zeno behavior and homogeneity in hybrid systems is pursued. Zeno behavior is associated with homogeneous hybrid systems having negative degree. Zeno behavior is typically ruled out in homogeneous hybrid systems with nonnegative degree. Next, asymptotic stability in homogeneous systems is shown to be robust to homogeneous perturbations. In turn, homogeneous perturbations are used to characterize local, approximate homogeneity. For systems that are locally, approximately homogeneous with negative (respectively, nonnegative) degree, Zeno behavior can be established (respectively, ruled out typically). In addition, stability results based on linear and conical approximations are established.

引用

页码：2758 / 2763

页数：6

共 33 条

[1]

Ames A.D., 2007, 2007 46th IEEE Conference on Decision and Control, P4033

[2] Is there life after Zeno? Taking executions past the breaking (Zeno) point [J].

Ames, Aaron D. ;

Zheng, Haiyang ;

Gregg, Robert D. ;

Sastry, Shankar .

2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 :2652-+

[3]

Ames AD, 2005, IEEE DECIS CONTR P, P696

[4]

Ames AD, 2006, LECT NOTES COMPUT SC, V3927, P34

[5] Characterization of Zeno behavior in hybrid systems using homological methods [J].

Ames, AD ;

Sastry, S .

ACC: Proceedings of the 2005 American Control Conference, Vols 1-7, 2005, :1160-1165

[6] Blowing up affine hybrid systems [J].

Ames, AD ;

Sastry, S .

2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, :473-478

[7]

[Anonymous], 1967, STABILITY MOTION

[8] Impulse differential inclusions: A viability approach to hybrid systems [J].

Aubin, JP ;

Lygeros, J ;

Quincampoix, M ;

Sastry, S ;

Seube, N .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (01) :2-20

[9] Geometric homogeneity with applications to finite-time stability [J].

Bhat, SP ;

Bernstein, DS .

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2005, 17 (02) :101-127

[10] How to stop time stopping [J].

Bowman, Howard ;

Gomez, Rodolfo .

FORMAL ASPECTS OF COMPUTING, 2006, 18 (04) :459-493

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