Single-shooting homotopy method for parameter identification in dynamical systems

Vyasarayani, C P and Uchida, T and McPhee, J (2012) Single-shooting homotopy method for parameter identification in dynamical systems. Physical Review E, 85 (3). 036201-1. ISSN 1539-3755

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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.

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IITH Creators:
IITH CreatorsORCiD
Vyasarayani, C Phttp://orcid.org/0000-0002-3396-0484
Item Type: Article
Subjects: Physics > Mechanical and aerospace
Divisions: Department of Mechanical & Aerospace Engineering
Depositing User: Mr. Siva Shankar K
Date Deposited: 22 Sep 2014 10:40
Last Modified: 11 Aug 2017 07:02
URI: http://raiith.iith.ac.in/id/eprint/43
Publisher URL: https://doi.org/10.1103/PhysRevE.85.036201
OA policy: http://www.sherpa.ac.uk/romeo/issn/1539-3755/
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