Every internally stabilizable multidimensional system admits a doubly coprime factorization
نویسنده
چکیده
The purpose of this paper is to show how to combine some new results on internal stabilizability [11, 12, 14, 15] with a result on multidimensional linear systems, independently obtained by ByrnesSpong-Tarn and Kamen-Khargonekar-Tannenbaum in [2, 6], in order to prove a conjecture of Z. Lin [7, 8, 9]. In particular, we shall show that every internal stabilizable multidimensional linear system (in the sense of the structural stability) admits a doubly coprime factorization, and thus, all stabilizing controllers of an internally stabilizable multidimensional linear system can be parametrized by means of the Youla-Kučera parametrization.
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تاریخ انتشار 2004