Symmetries of differential behaviors and finite group actions on free modules over a polynomial ring

Mathematics of Control, Signals and Systems - Tập 6 Số 4 - Trang 307-321 - 1993
de Concini, Corrado1, Fagnani, Fabio1
1Scuola Normale Superiore, Pisa, Italy

Tóm tắt

In this paper we study finite group symmetries of differential behaviors (i.e., kernels of linear constant coefficient partial differential operators). They lead us to study the actions of a finite group on free modules over a polynomial ring. We establish algebraic results which are then used to obtain canonical differential representations of symmetric differential behaviors.

Tài liệu tham khảo

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