Algebraic Necessary and Sufficient Conditions for the Controllability of Conewise Linear Systems

  title={Algebraic Necessary and Sufficient Conditions for the Controllability of Conewise Linear Systems},
  author={M. Kanat Camlibel and W. P. M. H. Heemels and J. M. Schumacher},
  journal={IEEE Transactions on Automatic Control},
The problem of checking certain controllability properties of even very simple piecewise linear systems is known to be undecidable. This paper focuses on conewise linear systems, i.e., systems for which the state space is partitioned into conical regions and a linear dynamics is active on each of these regions. For this class of systems, we present algebraic necessary and sufficient conditions for controllability. We also show that the classical results of controllability of linear systems and… CONTINUE READING
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