On the causality of linear time invariant descriptor systems

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 81, Issue 11, 2001, Pages 753-768

  Hahn, H ^a   Sommer, H J ^a  

^a UNIVERSITY OF KASSEL   (Germany)

Author keywords

Causality; Descriptor systems

Indexed keywords

EID: 33747973151     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/1521-4001(200111)81:11<753::AID-ZAMM753>3.0.CO;2-0     Document Type: Article

References (12)

1. KATO, T.: Perturbation theory for linear operators. Springer Verlag, Berlin 1966.
2. SCHWARTZ, L.: Théorie des distributions. Hermann. Paris 1966.
3. ZEMANIAN, A. H.: Distribution theory and transformation analysis. Mc Graw Hill, New York 1965.
4. ZEMANIAN, A. H.: The Hilbert port. SIAM J. Appl. Math. 18 (1970), 98-138.
5. GüTTINGER, W.: Generalized functions in elementary particle physics and passive system theory. SIAM J. Appl. Math. 15 (1967), 964-1000.
6. KALMAN, R. E.; HAUTUS, M. L.: Realization of continuous-time linear dynamical systems, rigorous theory in the style of Schwartz. Academic Press. Inc., New York 1972.
7. CHEN, C. T.: Linear system theory and design. Holt, Rinehart and Winston 1970.
8. DAI, L.: Singular control systems. Lecture Notes in Control and Information Science 118. Springer Verlag, Berlin 1989.
9. LEWIS, F. L.: A survey of linear singular systems, circuits, systems and signal processing. Vol. 5 (1986) 1, pp. 3-36.
10. HOU, M.; MüLLER, P. C.: Beobachter für lineare Deskriptorsysteme mit unbekannten Eingängen. Automatisierungstechnik 40 (1992), pp. 220-227.
11. BAJIC, V. B.: Lyapunov's direct method in the analysis of singular systems and networks. Shades Technical Publications, Hillcrest, RSA 1992.
12. BRONSTEIN, I. N.; SEMENDJAJEW, K. A.: Teubner-Taschenbuch der Mathematik. Teubner, Stuttgart 1996, p. 325.