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Computing the Kalman form
| Content Provider | Hyper Articles en Ligne (HAL) |
|---|---|
| Author | Pernet, Clément Rondepierre, Aude Villard, Gilles |
| Copyright Year | 2006 |
| Abstract | 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. |
| Related Links | https://hal.science/hal-00009558v4/file/kalman_kellergehrig.pdf |
| arXiv | cs.SC/0510014 |
| Language | English |
| Publisher | HAL CCSD |
| Access Restriction | Open |
| Subject Keyword | Keller-Gehrig algorithm characteristic polynomial Kalman form |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics Computer Science |