IEEE Transactions on Automatic Control, Vol.44, No.10, 1950-1955, 1999
Feedback stabilization of MIMO 3-D linear systems
In this paper, the authors solve the open problem of the existence of double coprime factorizations far a large class of multi-input/multi-output (MIMO) three-dimensional (3-D) Linear systems. It is proven that if all the unstable zeros of the contents associated with a left and a right matrix fraction descriptions of a given feedback stabilizable causal MIMO 3-D plant are simple, then the plant has a double coprime factorization. The authors then give a parameterization of all stabilizing compensators far on MIMO 3-D system in this class. The key result developed in the paper is a navel and constructive technique of "replacing" an unstable polynomial with a stable polynomial step by step. An illustrative example is also provided.