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 Creators ORCiD Vyasarayani, Chandrika Prakash http://orcid.org/0000-0002-3396-0484
Item Type:	Article
Subjects:	Physics > Mechanical and aerospace
Divisions:	Department of Mechanical & Aerospace Engineering
Depositing User:	Users 3 not found.
Date Deposited:	22 Sep 2014 10:40
Last Modified:	04 Mar 2022 05:37
URI:	http://raiithold.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/
Related URLs:	Google Scholar

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