A full characterization of stabilizability of bimodal piecewise linear systems with scalar inputs

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

Research output: Contribution to journalArticleScientificpeer-review

Abstract

This paper studies open-loop stabilization problem for bimodal systems with continuous vector field. It is based on the earlier work of the authors on the controllability problem for the same class of systems. A full characterization of stabilizability is established by presenting algebraic necessary and sufficient conditions. It is also shown that controllability implies stabilizability for these systems in a very similar fashion to the linear case.
Original languageEnglish
Pages (from-to)1261-1267
JournalAutomatica
Volume44
Issue number5
Publication statusPublished - 2008

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Controllability
Linear systems
Stabilization

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Camlibel, M. K., Heemels, W. P. M. H., & Schumacher, J. M. (2008). A full characterization of stabilizability of bimodal piecewise linear systems with scalar inputs. Automatica, 44(5), 1261-1267.
Camlibel, M.K. ; Heemels, W.P.M.H. ; Schumacher, J.M. / A full characterization of stabilizability of bimodal piecewise linear systems with scalar inputs. In: Automatica. 2008 ; Vol. 44, No. 5. pp. 1261-1267.
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Camlibel, MK, Heemels, WPMH & Schumacher, JM 2008, 'A full characterization of stabilizability of bimodal piecewise linear systems with scalar inputs', Automatica, vol. 44, no. 5, pp. 1261-1267.

A full characterization of stabilizability of bimodal piecewise linear systems with scalar inputs. / Camlibel, M.K.; Heemels, W.P.M.H.; Schumacher, J.M.

In: Automatica, Vol. 44, No. 5, 2008, p. 1261-1267.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - A full characterization of stabilizability of bimodal piecewise linear systems with scalar inputs

AU - Camlibel, M.K.

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

AU - Schumacher, J.M.

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N2 - This paper studies open-loop stabilization problem for bimodal systems with continuous vector field. It is based on the earlier work of the authors on the controllability problem for the same class of systems. A full characterization of stabilizability is established by presenting algebraic necessary and sufficient conditions. It is also shown that controllability implies stabilizability for these systems in a very similar fashion to the linear case.

AB - This paper studies open-loop stabilization problem for bimodal systems with continuous vector field. It is based on the earlier work of the authors on the controllability problem for the same class of systems. A full characterization of stabilizability is established by presenting algebraic necessary and sufficient conditions. It is also shown that controllability implies stabilizability for these systems in a very similar fashion to the linear case.

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