Brief paper: Some new results for system decoupling and pole assignment problems
Automatica (Journal of IFAC)
A Canonical Decomposition of the Right Invertible System with Applications
SIAM Journal on Matrix Analysis and Applications
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This is the sequel to [D. Chu and R. C. E. Tan, SIAM J. Matrix nal. 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.