Decoupling by State Feedback in Infinite-Dimensional Systems

This paper studies the decoupling problem in infinite-dimensionalsystem using the so-called geometric approach of Wonham, andpresents necessary and/or sufficient conditions for the problemto be solvable for various cases, including (a) the case forwhich the input operator B satisfies dim (Im B) = k, where kis the number of output blocks, and (b) the case for which thepre-input operator G satisfies rank G = m, where m is the dimensionof the input space.