Main and dual identification methods in the Koopman operator framework.
Main functions:
- lifting_ident_main (main method)
- lifting_ident_dual (dual method)
Examples:
- Lorenz system (main method)
- Duffing system (main method with input)
- Toggle swicth system (main method with non polynomial vector field)
- Nonlinear networked system (dual method)
References:
- A. Mauroy and J. Goncalves, Linear identification of nonlinear systems: A lifting technique based on the Koopman operator, Proceedings of the 55th IEEE Conference on Decision and Control, pp. 6500-6505, December 2016.
- A. Mauroy and J. Goncalves, Koopman-based lifting techniques for nonlinear systems identification, in A. Mauroy, Y. Susuki, and I. Mezic, editors, The Koopman Operator in Systems and Control: Theory, Numerics, and Applications, Lecture Notes in Control and Information Sciences, Springer, 2020