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eess.SY2025
On Dynamic Mode Decomposition of Control-affine Systems
Moad Abudia, Joel A. Rosenfeld, Rushikesh Kamalapurkar
This paper builds on the theoretical foundations for dynamic mode decomposition (DMD) of control-affine dynamical systems by leveraging the theory of vector-valued reproducing kern…
eess.SY2024
On Convergent Dynamic Mode Decomposition and its Equivalence with Occupation Kernel Regression
Moad Abudia, Joel A. Rosenfeld, Rushikesh Kamalapurkar
This paper presents a new technique for norm-convergent dynamic mode decomposition of deterministic systems. The developed method utilizes recent results on singular dynamic mode d…