Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/104144
Title: Solvability conditions and parameterization of all solutions for the triangular decoupling problem
Authors: Chu, D. 
Tan, R.C.E. 
Keywords: Condensed form
Orthogonal transformation
Triangular decoupling
Issue Date: 2002
Citation: Chu, D.,Tan, R.C.E. (2002). Solvability conditions and parameterization of all solutions for the triangular decoupling problem. SIAM Journal on Matrix Analysis and Applications 23 (4) : 1171-1182. ScholarBank@NUS Repository.
Abstract: This is the sequel to [D. Chu and R.C.E. Tan, SIAM J. Matrix Anal. Appl., 23 (2002), pp. 1143-1170]. In that paper we studied the row by row decoupling problem with stability in control theory and developed a numerically reliable method for solving it. In this paper we study a related problem - the triangular decoupling problem. We not only give new and explicit solvability conditions but also parameterize all the solutions. The basis of our result is a condensed form which is computed using only orthogonal transformations. Hence, our new solvability conditions can be verified and all solutions can be parameterized in a numerically stable manner.
Source Title: SIAM Journal on Matrix Analysis and Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/104144
ISSN: 08954798
Appears in Collections:Staff Publications

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