References

[GD14]

Matan Gavish and David L. Donoho. “The optimal hard threshold for singular values is 4/sqrt(3).” IEEE Transactions on Information Theory 60.8 (2014): 5040-5053. http://arxiv.org/abs/1305.5870

[HIS19]

Keita Hara, Masaki Inoue, and Noboru Sebe. “Learning Koopman operator under dissipativity constraints.” arXiv:1911.03884v1 [eess.SY] (2019). https://arxiv.org/abs/1911.03884v1

[DF21]

Steven Dahdah and James Richard Forbes. “Linear matrix inequality approaches to Koopman operator approximation.” arXiv:2102.03613 [eess.SY] (2021). https://arxiv.org/abs/2102.03613

[DF22]

Steven Dahdah and James Richard Forbes. “System norm regularization methods for Koopman operator approximation.” arXiv:2110.09658 [eess.SY] (2022). https://arxiv.org/abs/2110.09658

[BFV20]

Daniel Bruder, Xun Fu, and Ram Vasudevan. “Advantages of bilinear Koopman realizations for the modeling and control of systems with unknown dynamics.” arXiv:2010.09961v3 [cs.RO] (2020).

[PD20]

Shaowu Pan and Karthik Duraisamy. “On the structure of time-delay embedding in linear models of non-linear dynamical systems.” Chaos, vol. 30, no. 7, 2020. https://doi.org/10.1063/5.0010886

[MAM22]

Giorgos Mamakoukas, Ian Abraham, and Todd D. Murphey. “Learning Stable Models for Prediction and Control.” arXiv:2005.04291v2 [cs.RO] (2022). https://arxiv.org/abs/2005.04291v2

[DTK20]

Felix Dietrich, Thomas N. Thiem, and Ioannis G. Kevrekidis. “On the Koopman Operator of Algorithms.” SIAM Journal on Applied Dynamical Systems, vol. 19, no. 2, pp. 860-885, 2020. https://doi.org/10.1137%2F19m1277059

[WHDKR16]

Matthew O. Williams, Maziar S. Hemati, Scott T. M. Dawson, Ioannis G. Kevrekidis, and Clarence W. Rowley. “Extending Data-Driven Koopman Analysis to Actuated Systems.” IFAC-PapersOnLine, vol. 49, no. 18, pp. 704-709, 2016. https://doi.org/10.1016%2Fj.ifacol.2016.10.248

[CHH19]

Vı́t Cibulka, Tomáš Haniš, and Martin Hromčı́k. “Data-driven identification of vehicle dynamics using Koopman operator,” in 22nd International Conference on Process Control, 2019. https://doi.org/10.1109%2Fpc.2019.8815104

[RR07]

Ali Rahimi and Benjamin Recht. “Random Features for Large-Scale Kernel Machines.” in Proc. 20th Int. Conf. Neural. Inf. Process. Syst., 2007. https://proceedings.neurips.cc/paper/2007/hash/013a006f03dbc5392effeb8f18fda755-Abstract.html