Linear system theory: An algebraist's point of view

Systems and Control Letters

Volumn 29, Issue 2, 1996, Pages 73-79

  Lomadze, Vakhtang ^a  

^a A RAZMADZE MATHEMATICAL INSTITUTE   (Georgia)

Author keywords

AR system; Cohomology; Module; Polynomial model; Rational matrix; Statespace representation; Transfer function; Vector bundle

Indexed keywords

EID: 0038842841     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(96)00034-5     Document Type: Article

References (5)

1. P. Fuhrmann, Algebraic system theory: an analyst's point of view, J. Franklin Inst. 301 (1976) 521-540.
2. R. Kalman, P. Falb and M. Arbib, Topics in Mathematical System Theory (McGraw-Hill, New York, 1969).
3. V. Lomadze, Linear systems and coherent sheaves, Bull. Acad. Sci. Georgian SSR 126 (1987) N 1 (in Russian).
4. V. Lomadze, Vector bundles over the rational function field (with applications to linear systems), submitted to: SIAM J. Control Optim.
5. C. Martin and R. Hermann, Applications of algebraic geometry to systems theory: The McMillan degree and Kronecker indices as topological and holomorphic invariants, SIAM J. Control Optim. 16 (1978) 743-755.