### Abstract

The output feedback pole assignment problem is a classical problem in linear theory. In this paper we calculate the number of complex dynamic compensators of order q assigning a given set of poles for a q-nondegenerate m-input, p-output system of McMillan degree n = q(m + p - 1) + mp. As a corollary it follows that when this number is odd, the generic system can be arbitrarily pole assigned by output feedback with a real dynamic compensator of order at most q if and only if q(m + p - 1) + mp ≥ n.

Original language | English |
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Pages (from-to) | 813-832 |

Number of pages | 20 |

Journal | SIAM Journal on Control and Optimization |

Volume | 34 |

Issue number | 3 |

DOIs | |

State | Published - May 1996 |

### Keywords

- Degree of variety
- Dynamic compensator
- Holomorphic curves in Grassmannian
- Output feedback pole assignment

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## Cite this

Ravi, M. S., Rosenthal, J., & Wang, X. (1996). Dynamic pole assignment and schubert calculus.

*SIAM Journal on Control and Optimization*,*34*(3), 813-832. https://doi.org/10.1137/S036301299325270X