Advantages of Bilinear Koopman Realizations for Modeling and Control

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This is the accompanying video for our paper entitled "Advantages of Bilinear Koopman Realizations for the Modeling and Control of Systems with Unknown Dynamics," by Daniel Bruder, Xun Fu, and Ram Vasudevan.

For more information you can check out a preprint of our paper here:
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Thank you very much, very good explained and the paper is also very interesting.

hosseintaherian
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I was converting the van der pol oscillator to bilinear representation I had calculated the Koopman eigen functions, eigen values, eigen vectors using EDMD algorithm for 21 observables but now i don't know/stuck at how to calculate B_i for bilinear representation. help me here?

ojwngmy