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  Proceedings of the Estonian Academy of Sciences. Physics. Mathematics

 

ISSN 1406-0086

Published since 1952 to 2007

Proceedings of the Estonian Academy of Sciences. Physics. Mathematics

 

ISSN 1406-0086

Published since 1952 to 2007

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Observability of a class of linear dynamic infinite systems on time scales; 347-358

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Authors

Dorota Mozyrska, Zbigniew Bartosiewicz

Abstract

Linear dynamic systems with output, evolving on the space Roo of infinite sequences, are studied. They are described by infinite systems of Δ-differential linear equations with row-finite matrices, for which time belongs to an arbitrary time scale. Such systems generalize discrete-time and continuous-time row-finite systems on Roo studied earlier. Necessary and sufficient conditions on observability of such systems are given. Formal polynomial series on time scales are introduced.

Keywords

infinite linear system, time scale, observability.

References

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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.

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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.

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11. Bohner , M. and Lutz , A. Asymptotic expansions and analytic dynamic equations.
 
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Current Issue: Vol. 56, Issue 4, 2007




Publishing schedule:
No. 1: 20 March
No. 2: 20 June
No. 3: 20 September
No. 4: 20 December