Inaba, Hiroshi; Otsuka, Naohisa Triangular decoupling and stabilization for linear control systems in Hilbert spaces. (English) Zbl 0696.93018 IMA J. Math. Control Inf. 6, No. 3, 317-332 (1989). Summary: In the so-called geometric approach, a Hilbert-space version of the problem of triangular decoupling by state feedback is studied. First, under certain assumptions, necessary and sufficient conditions for the problem to be solvable are presented. Then, its stabilization problem is investigated. Finally, a triangular decoupling by incomplete state feedback is studied briefly, and some sufficient conditions for its solvability are obtained. Cited in 4 Documents MSC: 93B27 Geometric methods 93D15 Stabilization of systems by feedback 93C35 Multivariable systems, multidimensional control systems 93C05 Linear systems in control theory 93C25 Control/observation systems in abstract spaces Keywords:triangular decoupling by state feedback PDFBibTeX XMLCite \textit{H. Inaba} and \textit{N. Otsuka}, IMA J. Math. Control Inf. 6, No. 3, 317--332 (1989; Zbl 0696.93018) Full Text: DOI