Minimal bases of matrix pencils and coprime matrix fraction descriptions

IMA Journal of Mathematical Control and Information

Volumn 19, Issue 3, 2002, Pages 245-278

  Karcanias, Nicos ^a   Mitrouli, Marilena ^b  

^a CITY UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; MATRIX ALGEBRA; PROBLEM SOLVING; TRANSFER FUNCTIONS;

MATRIX FRACTION DESCRIPTIONS (MFD);

LINEAR SYSTEMS;

EID: 0036723572     PISSN: 02650754     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamci/19.3.245     Document Type: Article

References (23)

1. An algorithm for coprime matrix fraction description using sylvester matrices
2. Coprime matrix fraction description via Sylvester resultant matrix
3. Coprime matrix fraction description via Sylvester resultant matrix
4. Coprime matrix fraction description via Orthogonal structure theorem
5. Minimal bases of rational vector spaces, with applications to multivariable linear systems
6. Minimal bases of matrix pencils: Axlgebraic, toeplitz structure and geometric properties
7. Matrix pencil approach to geometric system theory
8. Right, left characteristic sequences and column, row minimal indices of singular pencils
9. A matrix pencil based numerical method for the computation of the GCD of polynomials
10. Fast projection methods for minimal design problems in linear system theory
11. Computation of matrix fraction description of linear time invariant systems
12. Modern Wiener-Hopf design of optimal controllers - Part II: The multivariable case
13. The generalised eigenstructure problem in linear system theory
14. On the dimensions of controllability subspaces: A characterisation via polynomial matrices and Kronecker invariants
15. Equivalence and invariants in linear multivariable systems
16. On the structure of multivariable systems