A Combined Homotopy‐Optimization Approach to Parameter Identification for Dynamical Systems. Issue 1 (18th November 2019)

• Record Type: Journal Article
• Authors: Schäfer, Kai; Flaßkamp, Kathrin; Fliege, Jörg; Büskens, Christof
• Other Names: Eberhardsteiner J. guestEditor.; Schöberl M. guestEditor.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 19:Issue 1(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-11-18
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201900266
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: When applying the single shooting approach to solve nonlinear dynamic parameter identification problems, difficulties like undesired minima can occur. To circumvent this, we apply a homotopy continuation to find global minima. In contrast to the literature, we reduce the resulting series of optimization problems to a single one which leads us to the opportunity to compute homotopy paths in a more efficient way. We demonstrate our method with the help of a numerical example.