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Paper detail

Computing the Kalman form

We present two algorithms for the computation of the Kalman form of a linear control system. The first one is based on the technique developed by Keller-Gehrig for the computation of the characteristic polynomial. The cost is a logarithmic number of matrix multiplications. To our knowledge, this improves the best previously known algebraic complexity by an order of magnitude. Then we also present a cubic algorithm proven to more efficient in practice.

preprint2006arXivOpen access
Clément PernetAude RondepierreGilles Villard
math.OCSymbolic Computation
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Clément PernetAude RondepierreGilles Villard

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