Algorithms for polynomial spectral factorization and bounded-real balanced state space representations
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, bas...
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| Veröffentlicht in: | Mathematics of control, signals, and systems signals, and systems, 2013-06, Vol.25 (2), p.231-255 |
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| container_title | Mathematics of control, signals, and systems |
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| creator | Rapisarda, P. Trentelman, H. L. Minh, H. B. |
| description | 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. |
| doi_str_mv | 10.1007/s00498-012-0095-x |
| format | Article |
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| subjects | Algorithms Balancing Communications Engineering Computer science Control Factorization Interpolation Linear algebra Mathematical models Mathematics Mathematics and Statistics Mechatronics Networks Original Article Polynomials Representations Robotics Spectra System theory Systems Theory Variables |
| title | Algorithms for polynomial spectral factorization and bounded-real balanced state space representations |
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