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A full characterization of stabilizability of bimodal piecewise linear systems with scalar inputs |
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| Authors: | M.K. W.P.M.H. J.M. |
| Affiliation: | aDepartment of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands bDepartment of Electronics and Communication Engineering, Dogus University, Acibadem 34722, Istanbul, Turkey cDepartment of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands dDepartment of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands |
| 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. |
| Keywords: | Controllability Stabilizability Piecewise linear systems Bimodal systems |
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