Decomposition of Nonlinear Dynamical Systems Using Koopman Gramians

4 Oct 2017 Zhiyuan Liu Soumya Kundu Lijun Chen Enoch Yeung

In this paper we propose a new Koopman operator approach to the decomposition of nonlinear dynamical systems using Koopman Gramians. We introduce the notion of an input-Koopman operator, and show how input-Koopman operators can be used to cast a nonlinear system into the classical state-space form, and identify conditions under which input and state observable functions are well separated... (read more)

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