Algorithms for polynomial spectral factorization and bounded-real balanced state space representations

作者：Rapisarda P^*; Trentelman H L; Minh H B

来源：Mathematics of Control Signals and Systems, 2013, 25(2): 231-255.

DOI：10.1007/s00498-012-0095-x

• Nevanlinna interpolation problem
• Model reduction
• Balanced state space representation
• Quadratic differential forms
• Two-variable polynomial matrices

We illustrate an algorithm that starting from the image representation of a strictly bounded-real system computes a minimal balanced state variable, from which a minimal balanced state realization is readily obtained. The algorithm stems from an iterative procedure to compute a storage function, based on a technique to solve a generalization of the Nevanlinna interpolation problem.

• 出版日期2013-6