Factorizations of Transfer Functions
Copyright policy )Factorizations of Transfer Functions
This paper is concerned with minimal factorizations of rational matrix functions. The treatment is based on a new geometrical principle. In fact, it is shown that there is a one-to-one correspondence between minimal factorizations on the one hand and certain projections on the other. Considerable attention is given to the problem of stability of a minimal factorization. Also the numerical aspects are discussed. Along the way, a stability theorem for solutions of the matrix Riccati equation is obtained.
Riccati equation, Algebraic methods, General systems theory, transfer functions, Minimal systems representations, minimal realizations, Computational methods in systems theory
Riccati equation, Algebraic methods, General systems theory, transfer functions, Minimal systems representations, minimal realizations, Computational methods in systems theory
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