Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/102723
Title: A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem
Authors: Chu, D. 
Hung, Y.S.
Keywords: 65F35
93B05
93B40
93B52
Disturbance decoupling
Numerical computation
Orthogonal transformation
Row-by-row decoupling
Issue Date: 15-Nov-2000
Citation: Chu, D.,Hung, Y.S. (2000-11-15). A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem. Linear Algebra and Its Applications 320 (1-3) : 37-49. ScholarBank@NUS Repository.
Abstract: The numerical computation of the simultaneous disturbance decoupling and row-by-row decoupling problem is considered. Based on a condensed form for the system matrices the solvability of the simultaneous disturbance decoupling and row-by-row decoupling problem is reduced to the verification of an integer equality and the nonsingularity of a lower-dimensional constant matrix. The condensed form we use is computed using only orthogonal transformations, which can be implemented in a numerically stable way. Hence, it leads directly to an effective numerical method for solving the disturbance decoupling and row-by-row decoupling problem using existing tools such as LAPACK and Matlab. Our result complements existing geometric and structural approaches which are of a theoretical nature and are not suitable for numerical computation. © 2000 Elsevier Science Inc.
Source Title: Linear Algebra and Its Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/102723
ISSN: 00243795
Appears in Collections:Staff Publications

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