Canonical form of para-Hermitian pencils, generalized spectral factorization, and optimal control over frequency region


Correspondence to: Jovan Stefanovski, Control and Informatics Div., JP ‘Streževo’, Bitola, Republic of Macedonia.



We generalize the J-spectral factorization of para-Hermitian proper rational matrix in the case when it has no constant inertia on the imaginary axis. This result and the presented numerical algorithm are based on a canonical form of para-Hermitian matrix pencils. We apply the new spectral factorization to the optimal control of the proper plant by dynamic measurement feedback over a frequency region. Copyright © 2012 John Wiley & Sons, Ltd.