@inproceedings{067b71b604914de3bac926b5522dbf50,
title = "A Riccati equation approach to the optimal guaranteed cost control of uncertain systems with structured uncertainty",
abstract = "In this paper, a Riccati equation approach is presented to construct the optimal quadratic guaranteed cost controller for uncertain systems. The uncertainty in the system is assumed to be norm bounded, time-varying and structured. The Riccati equation depends on a positive definite diagonal matrix. This matrix has the same structure as the uncertainty in the system. The paper presents a definition of convexity for matrix functions. Using this definition, it is proved that the stabilizing solution of the Riccati equation is a convex matrix function of the diagonal elements in the dependent matrix. Therefore, the optimal guaranteed cost controller can be found by carrying out a search with respect to the diagonal elements in the dependent matrix.",
author = "Esfahani, \{S. H.\} and Petersen, \{I. R.\}",
note = "Publisher Copyright: {\textcopyright} 1999 IEEE.; 1999 Information, Decision and Control, IDC 1999 ; Conference date: 08-02-1999 Through 10-02-1999",
year = "1999",
doi = "10.1109/IDC.1999.754170",
language = "English",
series = "IDC 1999 - 1999 Information, Decision and Control, Data and Information Fusion Symposium, Signal Processing and Communications Symposium and Decision and Control Symposium: Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "277--282",
booktitle = "IDC 1999 - 1999 Information, Decision and Control, Data and Information Fusion Symposium, Signal Processing and Communications Symposium and Decision and Control Symposium",
address = "United States",
}