A symmetry approach for balanced truncation of positive linear systems

Christian Grussler; Tobias Damm

doi:10.1109/CDC.2012.6426442

A symmetry approach for balanced truncation of positive linear systems

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

Abstract

We consider model order reduction of positive linear systems and show how a symmetry characterization can be used in order to preserve positivity in balanced truncation. The reduced model has the additional feature of being symmetric.

Original language	English
Article number	6426442
Pages (from-to)	4308-4313
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6426442
State	Published - 2012
Externally published	Yes
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: 10 Dec 2012 → 13 Dec 2012

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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10.1109/CDC.2012.6426442

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title = "A symmetry approach for balanced truncation of positive linear systems",

abstract = "We consider model order reduction of positive linear systems and show how a symmetry characterization can be used in order to preserve positivity in balanced truncation. The reduced model has the additional feature of being symmetric.",

author = "Christian Grussler and Tobias Damm",

year = "2012",

doi = "10.1109/CDC.2012.6426442",

language = "الإنجليزيّة",

pages = "4308--4313",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0743-1546",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "51st IEEE Conference on Decision and Control, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

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AU - Damm, Tobias

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AB - We consider model order reduction of positive linear systems and show how a symmetry characterization can be used in order to preserve positivity in balanced truncation. The reduced model has the additional feature of being symmetric.

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DO - 10.1109/CDC.2012.6426442

M3 - مقالة من مؤنمر

SN - 0743-1546

SP - 4308

EP - 4313

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - 6426442

T2 - 51st IEEE Conference on Decision and Control, CDC 2012

Y2 - 10 December 2012 through 13 December 2012

ER -

A symmetry approach for balanced truncation of positive linear systems

Abstract

All Science Journal Classification (ASJC) codes

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