Single-shooting homotopy method for parameter identification in dynamical systems
| dc.contributor.author | Vyasarayani, Chandrika Prakash | |
| dc.contributor.author | Uchida, Thomas | |
| dc.contributor.author | McPhee, John | |
| dc.date.accessioned | 2017-03-16T18:53:05Z | |
| dc.date.available | 2017-03-16T18:53:05Z | |
| dc.date.issued | 2012-03-02 | |
| dc.description | © American Physical Society. The original publication is available at: Vyasarayani, C. P., Uchida, T., & McPhee, J. (2012). Single-shooting homotopy method for parameter identification in dynamical systems. Physical Review E, 85(3). https://doi.org/10.1103/PhysRevE.85.036201 | en |
| dc.description.abstract | An algorithm for identifying parameters in dynamical systems is developed in this work using homotopy transformations and the single-shooting method. The equations governing the dynamics of the mathematical model are augmented with observer-like homotopy terms that smooth the objective function. As a result, premature convergence to a local minimum is avoided and the obtained parameter estimates are globally optimal. Numerical examples are presented to demonstrate the application of the proposed approach to chaotic systems. | en |
| dc.description.sponsorship | C.P.V. acknowledges the financial support received fromthe Ontario Centres of Excellence. T.U. and J.M. gratefully acknowledge the financial support provided by the Natural Sci-ences and Engineering Research Council of Canada (NSERC),and the NSERC/Toyota/Maplesoft Industrial Research Chairprogram. | en |
| dc.identifier.uri | https://doi.org/10.1103/PhysRevE.85.036201 | |
| dc.identifier.uri | http://hdl.handle.net/10012/11521 | |
| dc.language.iso | en | en |
| dc.publisher | American Physical Society | en |
| dc.title | Single-shooting homotopy method for parameter identification in dynamical systems | en |
| dc.type | Article | en |
| dcterms.bibliographicCitation | Vyasarayani, C. P., Uchida, T., & McPhee, J. (2012). Single-shooting homotopy method for parameter identification in dynamical systems. Physical Review E, 85(3). https://doi.org/10.1103/PhysRevE.85.036201 | en |
| uws.contributor.affiliation1 | Faculty of Engineering | en |
| uws.contributor.affiliation2 | Systems Design Engineering | en |
| uws.peerReviewStatus | Reviewed | en |
| uws.scholarLevel | Faculty | en |
| uws.typeOfResource | Text | en |