Discrete Algebraic Dynamical systems

Details Discrete Algebraic Dynamical systems Discrete Algebraic Dynamical systems

2012-03-19

arxiv.org/abs/1203.4186v1

Mathematics

Dynamical Systems

15 pages

Scientific paper

In this paper, we use the duality between the vector spaces of multivariables polynomials and powers series to look for closed subpaces of multivariables powers series and prove that the polynomial operator in the shift which U. Oberst and J. C. Willems have introduced is the adjoint of the polynomial multiplication. These allow us to define and describe discrete linear dynamical systems over multi-indexed time sets over the natural integers.

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