• TITLE: H2-optimal model reduction of MIMO systems
• AUTHORS: P. Van Dooren, K. A. Gallivan, P.-A. Absil
• ABSTRACT:
  We consider the problem of approximating a p x m rational transfer function H(s) of high degree by another p x m rational transfer function hatH(s) of much smaller degree. We derive the gradients of the H2-norm of the approximation error and show how stationary points can be described via tangential interpolation.
• KEY WORDS: multivariable systems; model reduction; optimal H2 approximation; tangential interpolation
• STATUS: Applied Mathematics Letters, Applied Mathematics Letters, Volume 21, Issue 12, December 2008, Pages 1267-1273

• Publisher's version: http://dx.doi.org/10.1016/j.aml.2007.09.015
• Tech report: PDF

BibTeX citation:

@ARTICLE{DooGalAbs2008,
  author = "P. {Van~Dooren} and K. A. Gallivan and P.-A. Absil",
  title = "{$H_2$}-optimal model reduction of {MIMO} systems",
  journal = "Appl. Math. Lett.",
  fjournal = "Applied Mathematics Letters",
  volume = 21,
  number = 12,
  year = 2008,
  pages = "1267--1273",
}