Computation of the (j, j′)-lossless factorization for general rational matrices
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 240-267 |
| Journal / Publication | SIAM Journal on Control and Optimization |
| Volume | 44 |
| Issue number | 1 |
| Publication status | Published - 2006 |
Link(s)
Abstract
(J, J′)-lossless factorization plays a central role in H ∞-control because it gives a simple and unified framework of H∞-control from the viewpoint of classical network theory, and it includes the well-known inner-outer factorization of rational matrices, Wiener-Hopf factorization, and spectral factorization of positive rational matrices as special cases. However, up to now, there is still a lack of numerically reliable methods for this important factorization problem in a general setting. In this paper, we present necessary and sufficient solvability conditions and develop a numerically reliable algorithm based on a generalized eigenvalue approach for the (J, J′)-lossless factorization of general rational matrices. © 2005 Society for Industrial and Applied Mathematics.
Research Area(s)
- (j, j′)-lossless factorization, Eigenfactorization orthogonal transformation, Rational matrix
Citation Format(s)
Computation of the (j, j′)-lossless factorization for general rational matrices. / Chu, Delin; Ho, Daniel W. C.
In: SIAM Journal on Control and Optimization, Vol. 44, No. 1, 2006, p. 240-267.
In: SIAM Journal on Control and Optimization, Vol. 44, No. 1, 2006, p. 240-267.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
