Modified balanced truncation preserving ellipsoidal cone-invariance

Christian Grussler; Anders Rantzer

doi:10.1109/CDC.2014.7039749

Modified balanced truncation preserving ellipsoidal cone-invariance

Christian Grussler
, Anders Rantzer

Research output: Contribution to journal › Conference article › peer-review

Abstract

We consider model order reduction of stable linear systems which leave ellipsoidal cones invariant. We show how balanced truncation can be modified to preserve cone-invariance. Additionally, this implies a method to perform external positivity preserving model reduction for a large class of systems.

Original language	English GB
Article number	7039749
Pages (from-to)	2365-2370
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2015-February
Issue number	February
DOIs	https://doi.org/10.1109/CDC.2014.7039749
State	Published - 2014
Externally published	Yes
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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10.1109/CDC.2014.7039749

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title = "Modified balanced truncation preserving ellipsoidal cone-invariance",

abstract = "We consider model order reduction of stable linear systems which leave ellipsoidal cones invariant. We show how balanced truncation can be modified to preserve cone-invariance. Additionally, this implies a method to perform external positivity preserving model reduction for a large class of systems.",

author = "Christian Grussler and Anders Rantzer",

note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 ; Conference date: 15-12-2014 Through 17-12-2014",

year = "2014",

doi = "10.1109/CDC.2014.7039749",

language = "الإنجليزيّة",

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AU - Grussler, Christian

AU - Rantzer, Anders

PY - 2014

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N2 - We consider model order reduction of stable linear systems which leave ellipsoidal cones invariant. We show how balanced truncation can be modified to preserve cone-invariance. Additionally, this implies a method to perform external positivity preserving model reduction for a large class of systems.

AB - We consider model order reduction of stable linear systems which leave ellipsoidal cones invariant. We show how balanced truncation can be modified to preserve cone-invariance. Additionally, this implies a method to perform external positivity preserving model reduction for a large class of systems.

UR - https://www.scopus.com/pages/publications/84962008631

U2 - 10.1109/CDC.2014.7039749

DO - 10.1109/CDC.2014.7039749

M3 - مقالة من مؤنمر

SN - 0743-1546

VL - 2015-February

SP - 2365

EP - 2370

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

IS - February

M1 - 7039749

T2 - 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014

Y2 - 15 December 2014 through 17 December 2014

ER -

Modified balanced truncation preserving ellipsoidal cone-invariance

Abstract

ASJC Scopus subject areas

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