Hernández, Vicente; Urbano, Ana M. Pole-placement problem for discrete-time linear periodic systems. (English) Zbl 0684.93039 Int. J. Control 50, No. 1, 361-371 (1989). Summary: The pole-placement problem for the monodromy matrix of a discrete-time linear periodic system is considered. Given a partition of the complex plane into a ‘good’ part \({\mathbb{C}}_ g\) and a ‘bad’ part \({\mathbb{C}}_ b\), the result obtained by W. M. Wonham [Linear multivariable control: A geometric approach, 2nd ed. (1979; Zbl 0424.93001)] is extended to the periodic case. This extension is based on the decomposition of a completely controllable periodic system into two subsystems, such that the first subsystem is completely reachable and the eigenvalues of the monodromy matrix of the second one are equal to zero. Cited in 8 Documents MSC: 93B55 Pole and zero placement problems 93C05 Linear systems in control theory 93C55 Discrete-time control/observation systems Keywords:monodromy matrix; periodic system Citations:Zbl 0424.93001 PDFBibTeX XMLCite \textit{V. Hernández} and \textit{A. M. Urbano}, Int. J. Control 50, No. 1, 361--371 (1989; Zbl 0684.93039) Full Text: DOI References: [1] DOI: 10.1080/00207178408933268 · Zbl 0546.93010 · doi:10.1080/00207178408933268 [2] DOI: 10.1080/00207178708933923 · Zbl 0616.93033 · doi:10.1080/00207178708933923 [3] DOI: 10.1080/00207178008922850 · Zbl 0443.93044 · doi:10.1080/00207178008922850 [4] DOI: 10.1016/0024-3795(68)90047-5 · Zbl 0155.06603 · doi:10.1016/0024-3795(68)90047-5 [5] Wonham W. M., Linear Multivariale Control (1979) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.