Interpolation of Rational Matrix Functions

摘要: I Homogeneous Interpolation Problems with Standard Data.- 1. Null Structure for Analytic Matrix Functions.- 2. and Polynomials.- 3. Local Data Meromorphic 4. Rational 5. Functions Pole at Infinity.- 6. J-Unitary Values on the Imaginary Line.- 7. Unit Circle.- II Other Forms of 8. Pairs.- 9. Based Divisibility.- 10. Polynomial 11. Coprime Representations an Problem.- III Subspace Problems.- 12. Null-Pole Subspaces: Elementary Properties.- 13. Subspaces Axis or 14. 15. IV Nonhomogeneous 16. Polynomials 17. Partial Realization as V Metric Constraints.- 18. Nevanlinna-Pick Generalizations.- 19. Nevanlinna-Pick-Takagi Interpolation.- 20. Nehari 21. Boundary 22. Caratheodory-Toeplitz VI Some Applications to Control Systems Theory.- 23. Sensitivity Minimization.- 24. Model Reduction.- 25. Robust Stabilizations.- Appendix. Sylvester, Lyapunov Stein Equations.- A.1 Sylvester equations.- A.2 A.3 symmetric Notes.- References.- Notations Conventions.