Popov–Belevitch–Hautus type controllability tests for linear complementarity systems |
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Authors: | M. Kanat Camlibel |
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Affiliation: | aDepartment of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;bDepartment of Electronics and Communication Engineering, Dogus University, Acibadem 34722, Istanbul, Turkey |
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Abstract: | It is well-known that checking certain controllability properties of very simple piecewise linear systems are undecidable problems. This paper deals with the controllability problem of a class of piecewise linear systems, known as linear complementarity systems. By exploiting the underlying structure and employing the results on the controllability of the so-called conewise linear systems, we present a set of inequality-type conditions as necessary and sufficient conditions for controllability of linear complementarity systems. The presented conditions are of Popov–Belevitch–Hautus type in nature. |
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Keywords: | Hybrid systems Piecewise linear systems Linear complementarity systems Controllability |
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