Controllability, observability and transfer matrix zeroing of the 2D Roesser model

The article considers the fundamental properties of the two-dimensional (2D) system described by the Roesser model. The controllability and observability are analyzed and the sufficient conditions under which the transfer matrix is zero are given. It is shown that if the matrix of the state equation A and B or A and C of the Roesser model has full row rank (respectively, full column rank) then there exists a nonsingular matrix of transformation such that the new pair of new matrices is controllable (observable). The numerical examples are given to show the correctness of the obtained conditions.

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Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).