Observability of a class of linear dynamic infinite systems on time scales
نویسندگان
چکیده
Linear dynamic systems with output, evolving on the space R∞ 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∞, studied earlier. Necessary and sufficient condition on observability of such systems are given. Formal polynomial series on time scales are introduced. Key–words: Infinite linear ∆-differential system, time scale, observability.
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