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

@article{Camlibel2008AlgebraicNA,
  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},
  year={2008},
  volume={53},
  pages={762-774}
}
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
Highly Cited
This paper has 62 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 38 extracted citations

62 Citations

051015'08'11'14'17
Citations per Year
Semantic Scholar estimates that this publication has 62 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 38 references

and J

  • M. K. Camlibel, W.P.M.H. Heemels
  • M. Schumacher, “Stability and controllability of…
  • 2003
Highly Influential
3 Excerpts

Controllability in linear autonomous systems with positive controllers,

  • R. F. Brammer
  • SIAM J. Control,
  • 1972
Highly Influential
3 Excerpts

and F

  • M. K. Camlibel, L. Iannelli
  • Vasca, “Modelling switching power converters as…
  • 2004
1 Excerpt

On the controllability of bimodal piecewise linear systems

  • W. P. M. H. Heemels M. K. Camlibel, J. M. Schumacher
  • 2003

Similar Papers

Loading similar papers…