Controllability of a class of networked passive linear systems

Bart Besselink; Henrik Sandberg; Karl Henrik Johansson; Jun-ichi Imura

doi:10.1109/CDC.2013.6760658

Controllability of a class of networked passive linear systems

Bart Besselink, Henrik Sandberg, Karl Henrik Johansson, Jun-ichi Imura

Research output: Contribution to conference › Paper › Academic

2 Citations (Scopus)

Abstract

In this paper, controllability properties of networks of diffusively coupled linear systems are considered through the controllability Gramian. For a class of passive linear systems, it is shown that the controllability Gramian can be decomposed into two parts. The first part is related to the dynamics of the individual systems whereas the second part is dependent only on the interconnection topology, allowing for a clear interpretation and efficient computation of controllability properties for a class of networked systems. Moreover, a relation between symmetries in the interconnection topology and controllability is given. The results are illustrated by an example.

Original language	English
Pages	4901-4906
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2013.6760658
Publication status	Published - 2013
Externally published	Yes
Event	52nd IEEE Conference on Decision and Control - Florence, Italy Duration: 10-Dec-2013 → 13-Dec-2013

Conference

Conference	52nd IEEE Conference on Decision and Control
Country/Territory	Italy
City	Florence
Period	10/12/2013 → 13/12/2013

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Controllability of a class of networked passive linear systems
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title = "Controllability of a class of networked passive linear systems",

abstract = "In this paper, controllability properties of networks of diffusively coupled linear systems are considered through the controllability Gramian. For a class of passive linear systems, it is shown that the controllability Gramian can be decomposed into two parts. The first part is related to the dynamics of the individual systems whereas the second part is dependent only on the interconnection topology, allowing for a clear interpretation and efficient computation of controllability properties for a class of networked systems. Moreover, a relation between symmetries in the interconnection topology and controllability is given. The results are illustrated by an example.",

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note = "52nd IEEE Conference on Decision and Control ; Conference date: 10-12-2013 Through 13-12-2013",

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AU - Besselink, Bart

AU - Sandberg, Henrik

AU - Johansson, Karl Henrik

AU - Imura, Jun-ichi

PY - 2013

Y1 - 2013

N2 - In this paper, controllability properties of networks of diffusively coupled linear systems are considered through the controllability Gramian. For a class of passive linear systems, it is shown that the controllability Gramian can be decomposed into two parts. The first part is related to the dynamics of the individual systems whereas the second part is dependent only on the interconnection topology, allowing for a clear interpretation and efficient computation of controllability properties for a class of networked systems. Moreover, a relation between symmetries in the interconnection topology and controllability is given. The results are illustrated by an example.

AB - In this paper, controllability properties of networks of diffusively coupled linear systems are considered through the controllability Gramian. For a class of passive linear systems, it is shown that the controllability Gramian can be decomposed into two parts. The first part is related to the dynamics of the individual systems whereas the second part is dependent only on the interconnection topology, allowing for a clear interpretation and efficient computation of controllability properties for a class of networked systems. Moreover, a relation between symmetries in the interconnection topology and controllability is given. The results are illustrated by an example.

U2 - 10.1109/CDC.2013.6760658

DO - 10.1109/CDC.2013.6760658

M3 - Paper

SP - 4901

EP - 4906

T2 - 52nd IEEE Conference on Decision and Control

Y2 - 10 December 2013 through 13 December 2013

ER -

Controllability of a class of networked passive linear systems

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