Stability and controllability of planar bimodal linear complementarity systems

M.K. Çamlibel; W. P.M.H. Heemels; J. M. Schumacher

doi:10.1109/CDC.2003.1272849

Stability and controllability of planar bimodal linear complementarity systems

M.K. Çamlibel
, W. P.M.H. Heemels
, J. M. Schumacher

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

40 Citaten (Scopus)

Samenvatting

The object of study of this paper is the class of hybrid systems consisting of so-called linear complementarity (LC) systems, that received a lot of attention recently and has strong connections to piecewise affine (PWA) systems. In addition to PWA systems, some of the linear or affine submodels of the LC systems can 'live' at lower-dimensional subspaces and re-initializations of the state variable at mode changes is possible. For LC systems we study the stability and controllability problem. Although these problems received for various classes of hybrid systems ample attention, necessary and sufficient conditions, which are explicit and easily verifiable, are hardly found in the literature. For LC systems with two modes and a state dimension of two such conditions are presented.

Originele taal-2	Engels
Titel	42nd IEEE International Conference on Decision and Control
Plaats van productie	Piscataway
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	1651-1656
Aantal pagina's	6
ISBN van geprinte versie	0-7803-7924-1
DOI's	https://doi.org/10.1109/CDC.2003.1272849
Status	Gepubliceerd - 1 dec. 2003
Evenement	42nd IEEE Conference on Decision and Control (CDC 2003) - Hyatt Regency Maui, Maui, Verenigde Staten van Amerika Duur: 9 dec. 2003 → 12 dec. 2003 Congresnummer: 42

Congres

Congres	42nd IEEE Conference on Decision and Control (CDC 2003)
Verkorte titel	CDC 2003
Land/Regio	Verenigde Staten van Amerika
Stad	Maui
Periode	9/12/03 → 12/12/03
Ander	42nd Conference on Decision and Control

Toegang tot document

10.1109/CDC.2003.1272849

Andere bestanden en links

Link to publication in Scopus

Citeer dit

@inproceedings{8b612af9c5d74f7e9748b97f671b045e,

title = "Stability and controllability of planar bimodal linear complementarity systems",

abstract = "The object of study of this paper is the class of hybrid systems consisting of so-called linear complementarity (LC) systems, that received a lot of attention recently and has strong connections to piecewise affine (PWA) systems. In addition to PWA systems, some of the linear or affine submodels of the LC systems can 'live' at lower-dimensional subspaces and re-initializations of the state variable at mode changes is possible. For LC systems we study the stability and controllability problem. Although these problems received for various classes of hybrid systems ample attention, necessary and sufficient conditions, which are explicit and easily verifiable, are hardly found in the literature. For LC systems with two modes and a state dimension of two such conditions are presented.",

keywords = "Complementarity systems, Controllability, Hybrid systems, Planar systems, Stability",

author = "M.K. {\c C}amlibel and Heemels, \{W. P.M.H.\} and Schumacher, \{J. M.\}",

year = "2003",

month = dec,

day = "1",

doi = "10.1109/CDC.2003.1272849",

language = "English",

isbn = "0-7803-7924-1",

pages = "1651--1656",

booktitle = "42nd IEEE International Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "42nd IEEE Conference on Decision and Control (CDC 2003), CDC 2003 ; Conference date: 09-12-2003 Through 12-12-2003",

}

Çamlibel, MK, Heemels, WPMH & Schumacher, JM 2003, Stability and controllability of planar bimodal linear complementarity systems. in 42nd IEEE International Conference on Decision and Control. Institute of Electrical and Electronics Engineers, Piscataway, blz. 1651-1656, 42nd IEEE Conference on Decision and Control (CDC 2003), Maui, Hawaï, Verenigde Staten van Amerika, 9/12/03. https://doi.org/10.1109/CDC.2003.1272849

Stability and controllability of planar bimodal linear complementarity systems. / Çamlibel, M.K.; Heemels, W. P.M.H.; Schumacher, J. M.
42nd IEEE International Conference on Decision and Control. Piscataway: Institute of Electrical and Electronics Engineers, 2003. blz. 1651-1656.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

TY - GEN

T1 - Stability and controllability of planar bimodal linear complementarity systems

AU - Çamlibel, M.K.

AU - Heemels, W. P.M.H.

AU - Schumacher, J. M.

N1 - Conference code: 42

PY - 2003/12/1

Y1 - 2003/12/1

N2 - The object of study of this paper is the class of hybrid systems consisting of so-called linear complementarity (LC) systems, that received a lot of attention recently and has strong connections to piecewise affine (PWA) systems. In addition to PWA systems, some of the linear or affine submodels of the LC systems can 'live' at lower-dimensional subspaces and re-initializations of the state variable at mode changes is possible. For LC systems we study the stability and controllability problem. Although these problems received for various classes of hybrid systems ample attention, necessary and sufficient conditions, which are explicit and easily verifiable, are hardly found in the literature. For LC systems with two modes and a state dimension of two such conditions are presented.

AB - The object of study of this paper is the class of hybrid systems consisting of so-called linear complementarity (LC) systems, that received a lot of attention recently and has strong connections to piecewise affine (PWA) systems. In addition to PWA systems, some of the linear or affine submodels of the LC systems can 'live' at lower-dimensional subspaces and re-initializations of the state variable at mode changes is possible. For LC systems we study the stability and controllability problem. Although these problems received for various classes of hybrid systems ample attention, necessary and sufficient conditions, which are explicit and easily verifiable, are hardly found in the literature. For LC systems with two modes and a state dimension of two such conditions are presented.

KW - Complementarity systems

KW - Controllability

KW - Hybrid systems

KW - Planar systems

KW - Stability

UR - https://www.scopus.com/pages/publications/1542269029

U2 - 10.1109/CDC.2003.1272849

DO - 10.1109/CDC.2003.1272849

M3 - Conference contribution

SN - 0-7803-7924-1

SP - 1651

EP - 1656

BT - 42nd IEEE International Conference on Decision and Control

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - 42nd IEEE Conference on Decision and Control (CDC 2003)

Y2 - 9 December 2003 through 12 December 2003

ER -

Stability and controllability of planar bimodal linear complementarity systems

Samenvatting

Congres

Toegang tot document

Andere bestanden en links

Vingerafdruk

Citeer dit