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 proceedingConference contribution

6 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 languageEnglish (US)
Title of host publication2012 American Control Conference, ACC 2012
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6382-6387
Number of pages6
ISBN (Print)9781457710957
DOIs
StatePublished - Jan 1 2012
Event2012 American Control Conference, ACC 2012 - Montreal, QC, Canada
Duration: Jun 27 2012Jun 29 2012

Publication series

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

Other

Other2012 American Control Conference, ACC 2012
CountryCanada
CityMontreal, QC
Period6/27/126/29/12

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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    Ferreira, A. S. R., Arcak, M., & Sontag, E. D. (2012). A decomposition-based approach to stability analysis of large-scale stochastic systems. In 2012 American Control Conference, ACC 2012 (pp. 6382-6387). [6315416] (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/acc.2012.6315416