Model reduction in H 2 using matrix solutions of polynomial equations ∗

@inproceedings{Hanzon1998ModelRI,
  title={Model reduction in H 2 using matrix solutions of polynomial equations ∗},
  author={Bernard Hanzon},
  year={1998}
}
A method is given for solving an optimal H2 approximation problem for SISO linear time-invariant stable systems. The method guarantees that the global optimum is found. It is based on constructive algebra, but compared with earlier results, the method has much smaller time and memory requirements, and can therefore be applied to systems of significantly higher McMillan degree. The use of Buchberger’s algorithm is avoided by writing the first-order optimality conditions in a special form, from… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 17 references

D

  • D. A. Cox, J. B. Little
  • O’Shea, Ideals, Varieties, and Algorithms…
  • 1992
Highly Influential
9 Excerpts

A Faddeev Sequence Method for Solving Lyapunov and Sylvester Equations

  • B. Hanzon, R.L.M. Peeters
  • Linear Algebra and Its Applications, vols. 241…
  • 1996
1 Excerpt

Diffeomorphisms between classes of linear systems

  • C. T. Chou, B. Hanzon
  • Systems and Control Letters, vol.26
  • 1995
1 Excerpt

Rational approximation in the real Hardy space H2 and Stieltjes integrals: a uniqueness theorem

  • L. Baratchart, F. Wielonsky
  • Constructive Approximation, vol.9
  • 1993
2 Excerpts

Similar Papers

Loading similar papers…