Polynomial J-spectral factorization
- 1 January 1994
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 39 (2) , 315-328
- https://doi.org/10.1109/9.272326
Abstract
-Several,algorithms are presented for the J-spectral factorization of a para-Hermitian polynomial matrix. The four algorithms that are discussed are based on diagonalization, SUC- cessive factor extraction, interpolation, and the solution of an algebraic Riccati equation, respectively. The paper includes a spe- cial algorithm for the factorization of unimodular para-Hermitian polynomial matrices and deals with canonical, noncanonical, and nearly noncanonical factorizations. I. ~ODUCTIONKeywords
This publication has 8 references indexed in Scilit:
- A factorization principle for stabilization of linear control systemsInternational Journal of Robust and Nonlinear Control, 1991
- Solutions of the Continuous and Discrete Time Algebraic Riccati Equations: A ReviewPublished by Springer Nature ,1991
- AJ-Spectral Factorization Approach to $\mathcal{H}_\infty $SIAM Journal on Control and Optimization, 1990
- A polynomial method for the singular value decomposition of block Hankel operatorsSystems & Control Letters, 1990
- State-space solutions to standard H/sub 2/ and H/sub infinity / control problemsIEEE Transactions on Automatic Control, 1989
- Efficient algorithm for matrix spectral factorizationAutomatica, 1985
- On polynomial matrix spectral factorization by symmetric extractionIEEE Transactions on Automatic Control, 1985
- Multivariable Feedback SystemsPublished by Springer Nature ,1982