Popov-Belevitch-Hautus type controllability tests for linear complementarity systems

被引：31

作者：

Camlibel, M. Kanat

机构：

[1] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands

[2] Dogus Univ, Dept Elect & Commun Engn, TR-34722 Istanbul, Turkey

来源：

SYSTEMS & CONTROL LETTERS | 2007年 / 56卷 / 05期

关键词：

hybrid systems; piecewise linear systems; linear complementarity systems; controllability;

D O I：

10.1016/j.sysconle.2006.10.023

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

It is well-known that checking certain controllability properties of very simple piecewise linear systems are undecidable problems. This paper deals with the controllability problem of a class of piecewise linear systems, known as linear complementarity systems. By exploiting the underlying structure and employing the results on the controllability of the so-called conewise linear systems, we present a set of inequality-type conditions as necessary and sufficient conditions for controllability of linear complementarity systems. The presented conditions are of Popov-Belevitch-Hautus type in nature. (C) 2006 Elsevier B.V. All rights reserved.

引用

页码：381 / 387

页数：7

共 15 条

[1] A 9-FOLD CANONICAL DECOMPOSITION FOR LINEAR-SYSTEMS
ALING, H
SCHUMACHER, JM
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1984, 39 (04) : 779 - 805
[2] Observability and controllability of piecewise affine and hybrid systems
Bemporad, A
Ferrari-Trecate, G
Morari, M
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (10) : 1864 - 1876
[3] Complexity of stability and controllability of elementary hybrid systems
Blondel, VD
Tsitsiklis, JN
[J]. AUTOMATICA, 1999, 35 (03) : 479 - 489
[4] Some results on the controllability of planar variational inequalities
Brogliato, B
[J]. SYSTEMS & CONTROL LETTERS, 2005, 54 (01) : 65 - 71
[5] Camlibel MK, 2004, LECT NOTES COMPUT SC, V2993, P250
[6] Hautus M.L.J., 1969, NED AKAD WETENSCHA A, V72, P443
[7] Kalman J., 1963, Journal of the Society for Industrial and Applied Mathematics, Series A: Control, V1, P152, DOI DOI 10.1137/0301010
[8] Kalman Rudolf E., 1960, Proceedings First International Conference on Automatic Control, P481
[9] ON THE CONTROLLABILITY OF PIECEWISE-LINEAR HYPERSURFACE SYSTEMS
LEE, KK
ARAPOSTATHIS, A
[J]. SYSTEMS & CONTROL LETTERS, 1987, 9 (01) : 89 - 96
[10] Controllability for a class of simple Wiener-Hammerstein systems
Nesic, D
[J]. SYSTEMS & CONTROL LETTERS, 1999, 36 (01) : 51 - 59

← 1 2 →