Linear Algebra for Control Theory pp 21-29 | Cite as

# Pole Placement, Internal Stabilization and Interpolation Conditions for Rational Matrix Functions: A Grassmannian Formulation

Conference paper

## Abstract

The problem of pole placement via dynamic feedback and the bitangential interpolation problem are shown to be both particular instances of a general subspace interpolation problem formulated for rational curves from projective space into a Grass-mannian manifold. The problem of determining the minimal degree *d* for an interpolant in terms of the problem data is shown to be computable via intersection theory in projective space. Using the projective dimension theorem bounds for the minimal degree interpolant curve are given.

## Key words

Multivariable Systems Interpolation Problems Dynamic Feedback Compensation Autoregressive Systems## Preview

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## References

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## Copyright information

© Springer-Verlag New York, Inc. 1994