Popov - Belevitch - Hautus type controllability tests for linear complementarity systems
AuthorÇamlıbel, Mehmet Kanat
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CitationÇAMLIBEL, M.K. (2007). Popov - Belevitch - Hautus type controllability tests for linear complementarity systems. Systems Control Letters, 56 (5), pp. 381-387. http://dx.doi.org/10.1016/j.sysconle.2006.10.023.
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.
SourceSystems & Control Letters
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