Triangular decoupling and stabilization for linear control systems in Hilbert spaces. (English) Zbl 0696.93018

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.


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
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