Encyclopedia of Systems and Control

Living Edition
| Editors: John Baillieul, Tariq Samad

Spectral Factorization

Living reference work entry

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DOI: https://doi.org/10.1007/978-1-4471-5102-9_240-2

Abstract

For more than half a century, spectral factorization is encountered in various fields of science and engineering. It is a useful tool in robust and optimal control and filtering and many other areas. It is also a nice control-theoretical concept closely related to Riccati equation. As a quadratic equation in polynomials, it is a challenging algebraic task.

Keywords

Controller design, H2-optimal control, H-optimal control, J-spectral factorization, Linear systems, Polynomial, Polynomial matrix, Polynomial equation, Polynomial methods, Spectral factorization 
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Copyright information

© Springer-Verlag London 2015

Authors and Affiliations

  1. 1.Faculty of Electrical Engineering, Department of Control EngineeringCzech Technical University in PraguePrague 6Czech Republic