Single-shooting homotopy method for parameter identification in dynamical systems
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.
Collections
Cite this version of the work
Chandrika Prakash Vyasarayani, Thomas Uchida, John McPhee
(2012).
Single-shooting homotopy method for parameter identification in dynamical systems. UWSpace.
http://hdl.handle.net/10012/11521
Other formats