Triangular Decoupling and Stabilization for Linear Control Systems in Hilbert Spaces

In the so-called geometric approach, a Hilbert-space versionof the problem of triangular decoupling by state feedback isstudied. First, under certain assumptions, necessary and sufficientconditions for the problem to be solvable are presented. Then,its stabilization problem is investigated. Finally, a triangulardecoupling by incomplete state feedback is studied briefly,and some sufficient conditions for its solvability are obtained.