Single-shooting homotopy method for parameter identification in dynamical systems
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Date
2012-03-02
Authors
Vyasarayani, Chandrika Prakash
Uchida, Thomas
McPhee, John
Advisor
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
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.
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