Title :
Minimal factorization of rational matrix functions
Author_Institution :
Dept. of Math., North Carolina State Univ., Raleigh, NC
fDate :
6/1/1992 12:00:00 AM
Abstract :
The theorem on minimal factorization of rational matrix functions without a pole or zero at infinity is extended to arbitrary rational matrix functions. To obtain this generalization, the concept of a centered realization for possibly nonproper rational matrix function is developed. A centered realization involves a single state-space operator and has most properties of a usual state-space realization
Keywords :
matrix algebra; state-space methods; centered realization; minimal factorization; rational matrix functions; state-space operator; H infinity control; Mathematics; Matrix decomposition; Poles and zeros; Polynomials; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
