Bart, Harm
A State Space Approach to Canonical Factorization with Applications
1. Introduction
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
Part I. Convolution equations, canonical factorization and the state space method
2. The role of canonical factorization in solving convolution equations
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
3. The state space method and factorization
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
Part II. Convolution equations with rational matrix symbols
4. Explicit solutions using realizations
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
5. Factorization of non-proper rational matrix functions
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
Part III. Equations with non-rational symbols
6. Factorization of matrix functions analytic in a strip
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
7. Convolution equations and the transport equation
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
8. Wiener-Hopf factorization and factorization indices
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
Part IV. Factorization of selfadjoint rational matrix functions
9. Preliminaries concerning minimal factorization
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
10. Factorization of positive definite rational matrix functions
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
11. Pseudo-spectral factorizations of selfadjoint rational matrix functions
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
12. Review of the theory of matrices in indefinite inner product spaces
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
Part V. Riccati equations and factorization
13. Canonical factorization and Riccati equations
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
14. The symmetric algebraic Riccati equation
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
15.
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
Part VI. Factorizations and symmetries
16. Factorization of positive real rational matrix functions
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
17. Contractive rational matrix functions
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
18.
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
Part VII. Applications of
19. Application to the rational Nehari problem
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
20. Review of some control theory for linear systems
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
21. H-infinity control applications
Harm Bart, Marinus A. Kaashoek, André C. M. Ran
Nyckelord: Mathematics, Operator Theory, Linear and Multilinear Algebras, Matrix Theory, Operations Research, Mathematical Programming, Functions of a Complex Variable
- Författare
- Bart, Harm
- Kaashoek, Marinus A.
- Ran, André C. M.
- Utgivare
- Springer
- Utgivningsår
- 2010
- Språk
- en
- Utgåva
- 1
- Serie
- Operator Theory: Advances and Applications
- Sidantal
- 435 sidor
- Kategori
- Naturvetenskaper
- Format
- E-bok
- eISBN (PDF)
- 9783764387532