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

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

doi:10.1016/j.automatica.2007.09.012

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

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

Control Systems Technology

Research output: Contribution to journal › Article › Academic › peer-review

25 Citations (Scopus)

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 language	English
Pages (from-to)	1261-1267
Journal	Automatica
Volume	44
Issue number	5
DOIs	https://doi.org/10.1016/j.automatica.2007.09.012
Publication status	Published - 2008

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10.1016/j.automatica.2007.09.012

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title = "A full characterization of stabilizability of bimodal piecewise linear systems with scalar inputs",

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.",

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

AU - Schumacher, J.M.

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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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DO - 10.1016/j.automatica.2007.09.012

M3 - Article

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VL - 44

SP - 1261

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JO - Automatica

JF - Automatica

IS - 5

ER -

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

Abstract

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