Control and interconnection revisited: The linear multidimensional case (Q2702501)

In the linear multidimensional case, the authors consider the following control problem: given a plant, does there exist a controller such that the regular interconnection equals a certain prescribed system.NEWLINENEWLINENEWLINEBased on a homological approach, the authors give an algebraic criterion for this problem to be solvable. This highly readable paper is in the spirit of Willems' behavioral theory of linear systems. \textit{P. Rocha} and \textit{J. Wood} [Trajectory control and interconnection of 1D and \(n\)D systems, SIAM J. Control Optim. 40, 107-134 (2001; Zbl 1030.93033)] give by different methods another solution of the control problem discussed in this paper. The authors conjecture that the two approaches are equivalent.NEWLINENEWLINEFor the entire collection see [Zbl 0952.00062].