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

Authors:
M. K. Camlibel;W. P. M. H. Heemels;J. M. Schumacher
Affiliations:
Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands and Department of Electronics and Communication Engineering, Dogus University, Acibadem 34722, ...;Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 3
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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.