Abstract
Necessary and sufficient conditions for the reachability and controllability of positive 2D Roesser model are established. It is shown that the reachability and observability of the positive 2D Roesser model are not invariant under the state-feedbacks. New canonical forms of matrices of singular 2D Roesser model are introduced. Conditions for the existence of a pair of non-singular diagonal matrices transforming the matrices of singular 2D Roesser model to their canonical forms are established and a procedure for computation of the matrices is given.
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Kaczorek, T. Some Recent Developments in Positive 2D Systems. In: Benvenuti, L., De Santis, A., Farina, L. (eds) Positive Systems. Lecture Notes in Control and Information Science, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44928-7_46
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DOI: https://doi.org/10.1007/978-3-540-44928-7_46
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40342-5
Online ISBN: 978-3-540-44928-7
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