Generalized solutions of Riccati equalities and inequalities
Functional Analysis
2016-09-02 v1
Abstract
The Riccati inequality and equality are studied for infinite dimensional linear discrete time stationary systems with respect to the scattering supply rate. The results obtained are an addition to and based on our earlier work on the Kalman-Yakubovich-Popov inequality in [6]. The main theorems are closely related to the results of Yu. M. Arlinski\u{\i} in [3]. The main difference is that we do not assume the original system to be a passive scattering system, and we allow the solutions of the Riccati inequality and equality to satisfy weaker conditions.
Keywords
Cite
@article{arxiv.1609.00059,
title = {Generalized solutions of Riccati equalities and inequalities},
author = {D. Z. Arov and M. A. Kaashoek and D. R. Pik},
journal= {arXiv preprint arXiv:1609.00059},
year = {2016}
}
Comments
Published in Methods of Functional Analysis and Topology (MFAT), available at http://mfat.imath.kiev.ua/article/?id=840