Author | Ball, Joseph A. author |
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Title | Interpolation of Rational Matrix Functions [electronic resource] / by Joseph A. Ball, Israel Gohberg, Leiba Rodman |
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1990 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7709-1 |
Descript | XIII, 605 p. online resource |
I Homogeneous Interpolation Problems with Standard Data -- 1. Null Structure for Analytic Matrix Functions -- 2. Null Structure and Interpolation Problems for Matrix Polynomials -- 3. Local Data for Meromorphic Matrix Functions -- 4. Rational Matrix Functions -- 5. Rational Matrix Functions with Null and Pole Structure at Infinity -- 6. Rational Matrix Functions with J-Unitary Values on the Imaginary Line -- 7. Rational Matrix Functions with J-Unitary Values on the Unit Circle -- II Homogeneous Interpolation Problems with Other Forms of Local Data -- 8. Interpolation Problems with Null and Pole Pairs -- 9. Interpolation Problems for Rational Matrix Functions Based on Divisibility -- 10. Polynomial Interpolation Problems Based on Divisibility -- 11. Coprime Representations and an Interpolation Problem -- III Subspace Interpolation Problems -- 12. Null-Pole Subspaces: Elementary Properties -- 13. Null-Pole Subspaces for Matrix Functions with J-Unitary Values on the Imaginary Axis or Unit Circle -- 14. Subspace Interpolation Problems -- 15. Subspace Interpolation with Data at Infinity -- IV Nonhomogeneous Interpolation Problems -- 16. Interpolation Problems for Matrix Polynomials and Rational Matrix Functions -- 17. Partial Realization as an Interpolation Problem -- V Nonhomogeneous Interpolation Problems with Metric Constraints -- 18. Matrix Nevanlinna-Pick Interpolation and Generalizations -- 19. Matrix Nevanlinna-Pick-Takagi Interpolation -- 20. Nehari Interpolation Problem -- 21. Boundary Nevanlinna-Pick Interpolation -- 22. Caratheodory-Toeplitz Interpolation -- VI Some Applications to Control and Systems Theory -- 23. Sensitivity Minimization -- 24. Model Reduction -- 25. Robust Stabilizations -- Appendix. Sylvester, Lyapunov and Stein Equations -- A.1 Sylvester equations -- A.2 Stein equations -- A.3 Lyapunov and symmetric Stein equations -- Notes -- References -- Notations and Conventions