Algorithms for the estimation of the region of attraction with positively invariant sets

Andrea Iannelli, Andres Marcos, Mark Lowenberg

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

1 Citation (Scopus)
199 Downloads (Pure)

Abstract

This article focuses on the numerical estimation of the Region of Attraction of systems with polynomial vector field. The presented approach, based on a recent theoretical work on positively invariant sets, computes the inner Estimates of the Region of Attraction by means of Sum of Squares techniques. This allows the set containment conditions defining the region to be enforced at the expense of requiring iterative schemes since the ensuing optimization features bilinearities in the decision variables. The main contribution consists of two novel algorithms aimed at addressing some of the shortcomings typically associated with the adoption of iterative schemes. The results confirm the advantages of the proposed approaches, particularly as the size of the system increases.
Original languageEnglish
Title of host publication2018 7th International Conference on Systems and Control (ICSC 2018)
Subtitle of host publicationProceedings of a meeting held 24-26 October 2018, Valencia, Spain
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages93-98
Number of pages6
ISBN (Electronic)9781538685372
ISBN (Print)9781538685389
DOIs
Publication statusPublished - Jan 2019

Publication series

Name
ISSN (Print)2379-0059

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  • Cite this

    Iannelli, A., Marcos, A., & Lowenberg, M. (2019). Algorithms for the estimation of the region of attraction with positively invariant sets. In 2018 7th International Conference on Systems and Control (ICSC 2018): Proceedings of a meeting held 24-26 October 2018, Valencia, Spain (pp. 93-98). Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICoSC.2018.8587774