Abstract
Linear dynamic systems with output, evolving on the space R 1 of infinite sequences, are studied. They are described by infinite systems of¢-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 R 1 , 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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