AAE Publications

Aerogram Photo Logo Link
AeroGram
The annual Purdue Aero and Astro Newsletter
AerLiner Photo Logo Link
Aeroliner e-Newsletter
Bi-Monthy e-Newsletter from the School of Aeronautics and Astronautics
AAE Research Reports Photo Link
Research Reports
AeroLiners from the 1950's Photo Link
Aeroliners from the 1950s
AAE Faculty Books photo link
Books by our Faculty
One Small Step Photo Link
One Small Step:
The History of Aerospace Engineering at Purdue University

Faculty Book Spotlight

Metric Constrained Interpolation, Commutant Lifting and Systems

C. Foias, A.E. Frazho, I. Gohberg, M.A. Kaashoek

Metric Constrained Interpolation, Commutant Lifting and Systems book cover
  • ISBN: 0-8176-5889-0
  • Publisher: Birkhauser-Verlag, Boston
  • Date: 1998
  • Table of Contents

This monograph combines the commutant lifting theorem for operator theory and the state space method from system theory to provide a unified approach for solving both stationary and nonstationary interpolation problems with norm constraints. Included are the operator-valued versions of the tangential Nevanlinna-Pick problem, the Hermite-Fejér problem, the Nehari problem, the Sarason problem, and the two-sided Nudelman problem, and their nonstationary analogues. The main results concern the existence of solutions, the explicit construction of the central solutions in state space form, the maximum entropy property of the central solutions, and state space parameterizations of all solutions. Direct connections between the various interpolation problems are displayed. Applications to H control problems are presented. This monograph should appeal to a wide group of mathematicians and engineers. The material is self-contained and may be used for advanced graduate courses and seminars.