Computing the Kalman form

Details Computing the Kalman form Computing the Kalman form

2005-10-05

arxiv.org/abs/cs/0510014v4

Computer Science

Symbolic Computation

10 pages

Scientific paper

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.

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