Polynomial Operator in the Shifts in Discrete Algebraic Dynamical Systems
Ramamonjy Andriamifidisoa, Juanito Andrianjanahary
Journal of Advances in Mathematics and Computer Science · pp. 119–128 · Published 17 Dec 2014
10.9734/BJMCS/2015/15028Abstract
The vector space of the multi-indexed sequences over a field and the vector space of the sequences with finite support are dual to each other, with respect to an appropriate scalar product. It follows that the polynomial operator in the shift which U. Oberst and J. C. Willems have introduced to define time invariant discrete linear dynamical systems can be explained as the adjoint of the polynomial multiplication.
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Cited by 3
Ramamonjy Aandriamifidisoa, Loukman Ben Saindou · 2025
R. Andriamifdisoa · 2018
Ramamonjy Andriamifidisoa, Juanito Andrianjanahary · 2024
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