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Module theoretic zero structures for system matricesThe coordinate-free module-theoretic treatment of transmission zeros for MIMO transfer functions developed by Wyman and Sain (1981) is generalized to include noncontrollable and nonobservable linear dynamical systems. Rational, finitely-generated-modular, and torsion-divisible interpretations of the Rosenbrock system matrix are presented; Gamma-zero and Omega-zero modules are defined and shown to contain the output-decoupling and input-decoupling zero modules, respectively, as submodules; and the cases of left and right invertible transfer functions are considered.
Document ID
19870042916
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Wyman, Bostwick F. (Ohio State University Columbus, United States)
Sain, Michael K. (Notre Dame, University IN, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1987
Publication Information
Publication: SIAM Journal on Control and Optimization
Volume: 25
ISSN: 0363-0129
Subject Category
NUMERICAL ANALYSIS
Funding Number(s)
CONTRACT_GRANT: NSF ECS-81-02891
CONTRACT_GRANT: NAG2-35
CONTRACT_GRANT: NAG2-34E
CONTRACT_GRANT: NSF ECS-84-05714
Distribution Limits
Public
Copyright
Other