A decomposition-based approach to stability analysis of large-scale stochastic systems

Ana Sofia Rufino Ferreira; Murat Arcak; Eduardo D. Sontag

doi:10.1109/acc.2012.6315416

A decomposition-based approach to stability analysis of large-scale stochastic systems

Ana Sofia Rufino Ferreira, Murat Arcak, Eduardo D. Sontag

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

7 Scopus citations

Abstract

We analyse the stability of large-scale nonlinear stochastic systems using appropriate stochastic passivity properties of their subsystems and the structure of their interactions. Stochastic stability, and noise-to-state stability, of the network is established from the diagonal stability of a dissipativity matrix that incorporates information about the passivity properties of the subsystems and their interconnection. Next, equilibrium-independent conditions for the verification of the relevant passivity properties of the subsystems are derived. Finally, the decomposition-based approach is illustrated on a class of biological reaction networks.

Original language	English (US)
Title of host publication	2012 American Control Conference, ACC 2012
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6382-6387
Number of pages	6
ISBN (Print)	9781457710957
DOIs	https://doi.org/10.1109/acc.2012.6315416
State	Published - 2012
Event	2012 American Control Conference, ACC 2012 - Montreal, QC, Canada Duration: Jun 27 2012 → Jun 29 2012

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Other

Other	2012 American Control Conference, ACC 2012
Country/Territory	Canada
City	Montreal, QC
Period	6/27/12 → 6/29/12

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.1109/acc.2012.6315416

Cite this

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title = "A decomposition-based approach to stability analysis of large-scale stochastic systems",

abstract = "We analyse the stability of large-scale nonlinear stochastic systems using appropriate stochastic passivity properties of their subsystems and the structure of their interactions. Stochastic stability, and noise-to-state stability, of the network is established from the diagonal stability of a dissipativity matrix that incorporates information about the passivity properties of the subsystems and their interconnection. Next, equilibrium-independent conditions for the verification of the relevant passivity properties of the subsystems are derived. Finally, the decomposition-based approach is illustrated on a class of biological reaction networks.",

author = "Ferreira, {Ana Sofia Rufino} and Murat Arcak and Sontag, {Eduardo D.}",

year = "2012",

doi = "10.1109/acc.2012.6315416",

language = "English (US)",

isbn = "9781457710957",

series = "Proceedings of the American Control Conference",

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

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booktitle = "2012 American Control Conference, ACC 2012",

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note = "2012 American Control Conference, ACC 2012 ; Conference date: 27-06-2012 Through 29-06-2012",

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Ferreira, ASR, Arcak, M & Sontag, ED 2012, A decomposition-based approach to stability analysis of large-scale stochastic systems. in 2012 American Control Conference, ACC 2012., 6315416, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 6382-6387, 2012 American Control Conference, ACC 2012, Montreal, QC, Canada, 6/27/12. https://doi.org/10.1109/acc.2012.6315416

A decomposition-based approach to stability analysis of large-scale stochastic systems. / Ferreira, Ana Sofia Rufino; Arcak, Murat; Sontag, Eduardo D.
2012 American Control Conference, ACC 2012. Institute of Electrical and Electronics Engineers Inc., 2012. p. 6382-6387 6315416 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - A decomposition-based approach to stability analysis of large-scale stochastic systems

AU - Ferreira, Ana Sofia Rufino

AU - Arcak, Murat

AU - Sontag, Eduardo D.

PY - 2012

Y1 - 2012

N2 - We analyse the stability of large-scale nonlinear stochastic systems using appropriate stochastic passivity properties of their subsystems and the structure of their interactions. Stochastic stability, and noise-to-state stability, of the network is established from the diagonal stability of a dissipativity matrix that incorporates information about the passivity properties of the subsystems and their interconnection. Next, equilibrium-independent conditions for the verification of the relevant passivity properties of the subsystems are derived. Finally, the decomposition-based approach is illustrated on a class of biological reaction networks.

AB - We analyse the stability of large-scale nonlinear stochastic systems using appropriate stochastic passivity properties of their subsystems and the structure of their interactions. Stochastic stability, and noise-to-state stability, of the network is established from the diagonal stability of a dissipativity matrix that incorporates information about the passivity properties of the subsystems and their interconnection. Next, equilibrium-independent conditions for the verification of the relevant passivity properties of the subsystems are derived. Finally, the decomposition-based approach is illustrated on a class of biological reaction networks.

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M3 - Conference contribution

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SN - 9781457710957

T3 - Proceedings of the American Control Conference

SP - 6382

EP - 6387

BT - 2012 American Control Conference, ACC 2012

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2012 American Control Conference, ACC 2012

Y2 - 27 June 2012 through 29 June 2012

ER -

A decomposition-based approach to stability analysis of large-scale stochastic systems

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