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- Juan Carlos Zúñiga Anaya
- Systems & Control Letters
- 2010

- Juan Carlos Zúñiga Anaya, Didier Henrion
- Automatica
- 2006

A block Toeplitz algorithm is proposed to perform the J-spectral factorization of a para-Hermitian polynomial matrix. The input matrix can be singular or indefinite, and it can have zeros along the imaginary axis. The key assumption is that the finite zeros of the input polynomial matrix are given as input data. The algorithm is based on numerically… (More)

- Didier Henrion, Juan Carlos Zúñiga Anaya
- IEEE Trans. on Circuits and Systems
- 2005

— A simple necessary and sufficient algebraic condition is given to detect zeros at infinity in a polynomial matrix.

- Juan Carlos Zúñiga Anaya, Didier Henrion
- Applied Mathematics and Computation
- 2009

In this paper we present an improved algorithm to compute the minimal null-space basis of polynomial matrices, a problem which has many applications in control and systems theory. This algorithm takes advantage of the block Toeplitz structure of the Sylvester matrix associated with the polynomial matrix. The analysis of algorithmic complexity and numerical… (More)

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