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Published in:
2010 | OriginalPaper | Chapter
Factorization of positive real rational matrix functions
Authors : Harm Bart, Marinus A. Kaashoek, André C. M. Ran
Published in: A State Space Approach to Canonical Factorization with Applications
Publisher: Birkhäuser Basel
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This chapter is concerned with canonical factorization (with respect to the real line) of rational matrix functions with a positive definite real part on the real line. Also the generalization to pseudo-canonical factorization for functions that have a nonnegative real part is developed. All factorizations are obtained explicitly using state space realizations of the functions involved. In Section 15.1 rational matrix functions that have a positive definite real part or a nonnegative real part on the real line are characterized in terms of realizations. Section 15.2 deals with canonical factorization, and Section 15.3, the final section of the chapter, with pseudo-canonical factorization.