Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14691
For citation please use:
Main Title: Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis
Author(s): Bankmann, Daniel
Mehrmann, Volker
Nesterov, Yurii
Van Dooren, Paul
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15918
http://dx.doi.org/10.14279/depositonce-14691
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: In this paper formulas are derived for the analytic center of the solution set of linear matrix inequalities (LMIs) defining passive transfer functions. The algebraic Riccati equations that are usually associated with such systems are related to boundary points of the convex set defined by the solution set of the LMI. It is shown that the analytic center is described by closely related matrix equations, and their properties are analyzed for continuous- and discrete-time systems. Numerical methods are derived to solve these equations via steepest ascent and Newton-like methods. It is also shown that the analytic center has nice robustness properties when it is used to represent passive systems. The results are illustrated by numerical examples.
Subject(s): Linear matrix inequality
analytic center
passivity
robustness
Issue Date: 17-Apr-2019
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93D09 Robust stability
49M15 Methods of Newton-Raphson, Galerkin and Ritz types
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2019, 06
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

Files in This Item:
Preprint-6-2019.pdf
Format: Adobe PDF | Size: 415.83 kB
DownloadShow Preview
Thumbnail

Item Export Bar

Items in DepositOnce are protected by copyright, with all rights reserved, unless otherwise indicated.