Observability of a class of linear dynamic infinite systems on time scales

Proceedings of the Estonian Academy of Sciences: Physics, Mathematics

Volumn 56, Issue 4, 2007, Pages 347-358

  Mozyrska, Dorota ^a   Bartosiewicz, Zbigniew ^a  

^a BIALYSTOK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Infinite linear differential system; Observability; Time scale

Indexed keywords

EID: 38049125226     PISSN: 14060086     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Bartosiewicz, Z. and Pawłuszewicz, E. Realizations of linear control systems on time scales. Control Cybern., 2006, 35, 769-786.
2. Bartosiewicz, Z. and Mozyrska, D. Observability of infinite-dimensional finitely presented discrete-time linear systems. Zesz. Nauk. Politech. Białostockiej. Mat.-Fiz.-Chem., 2001, 20, 5-14.
3. Bartosiewicz, Z. and Mozyrska, D. Observability of row-finite countable systems of linear differential equations. In Proceedings of 16th IFAC Congress, 4-8 July 2005, Prague (Piztek, P., ed.). Elsevier, Oxford, 2006.
4. Curtain, R. F. and Zwart, H. An Introduction to Infinite-Dimensional Linear Systems Theory. Springer-Verlag, New York, 1995.
5. Banach, S. Théorie des opérations linéaires. Warsaw, 1932.
6. Mozyrska, D. and Bartosiewicz, Z. Dualities for linear control differential systems with infinite matrices. Control Cybern., 2006, 36, 887-904.
7. Deimling, R. Ordinary Differential Equations in Banach Spaces. Lecture Notes Math., Vol. 596. Springer-Verlag, 1977.
8. Cooke, R. G. Infinite Matrices and Sequence Spaces. Macmillan, London, 1950.
9. Agarwal, R. P. and Bohner, M. Basic calculus on time scales and some of its applications. Results Math., 1999, 35, 3-22.
10. Bohner, M. and Peterson, A. Dynamic Equations on Time Scales. Birkhauser, Boston, 2001.
11. Bohner, M. and Lutz, A. Asymptotic expansions and analytic dynamic equations. Published online: http://web.umr.edu/bohner/papers, 2005.