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Proceedings of the Estonian Academy of Sciences. Physics. Mathematics

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

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Dorota Mozyrska, Zbigniew Bartosiewicz


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.


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