title: 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.
authors.affiliation: Department of Systems Design Engineering, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, N2L 3G1, Canada.
authors.forename: C P
authors.initials: CP
authors.lastname: Vyasarayani
authors.forename: Thomas
authors.initials: T
authors.lastname: Uchida
authors.forename: John
authors.initials: J
authors.lastname: McPhee