Abstract
This paper deals with the controllability problem of a class of piecewise linear systems, known as linear complementarity systems. It is well-known that checking certain controllability properties of very simple piecewise linear systems are undecidable problems. In an earlier paper, however, a complete characterization of the controllability of the so-called conewise linear systems has been achieved. By employing this characterization and exploiting the special structure of linear complementarity systems, we present a set of inequality-type conditions as necessary and sufficient conditions for their controllability. Our treatment is based on the ideas and the techniques from geometric control theory together with mathematical programming.
| Original language | English |
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| Title of host publication | Complex Computing Networks |
| Publisher | Springer |
| Pages | 315-324 |
| Number of pages | 9 |
| Publication status | Published - 2006 |