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This document presents a generalization of Koopman operator theory to include inputs and control, termed Koopman with inputs and control (KIC). The authors demonstrate how this new framework allows for the analysis of nonlinear dynamical systems with input-output characteristics and connects to dynamic mode decomposition with control (DMDc). The methodology is data-driven and model-free, making it suitable for modern applications in various scientific and engineering fields.

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s25033

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EN