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Propofol anesthesia destabilizes neural dynamics across cortex. [PDF]

Neuron
Eisen AJ, Kozachkov L, Bastos AM, Donoghue JA, Mahnke MK, Brincat SL, Chandra S, Tauber J, Brown EN, Fiete IR, Miller EK.   +10 more
europepmc   +1 more source

Empirical Data-Driven Linear Model of a Swimming Robot Using the Complex Delay-Embedding DMD Technique. [PDF]

Biomimetics (Basel)
Sayahkarajy M, Witte H.
europepmc   +1 more source

Nonparametric Control-Koopman Operator Learning: Flexible and Scalable Models for Prediction and Control [PDF]

arXiv.org
This paper presents a novel Koopman composition operator representation framework for control systems in reproducing kernel Hilbert spaces (RKHSs) that is free of explicit dictionary or input parametrizations. By establishing fundamental equivalences between different model representations, we are able to close the gap of control system operator ...
Petar Bevanda, Bas Driessen, Lucian-Cristian Iacob, Roland Toth, Stefan Sosnowski, Sandra Hirche   +5 more
semanticscholar   +3 more sources

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Koopman Operator Inspired Nonlinear System Identification

SIAM Journal on Applied Dynamical Systems, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Decomposition theorems for koopman operators

Nonlinear Analysis: Theory, Methods & Applications, 1997
Let \(L^1(X)= L^1_\mu(X)= L^1(X,\Sigma,\mu)\), \(L^\infty(X)= L^\infty_\mu(X)= L^\infty(X,\Sigma,\mu)\) denote the usual Lebesgue spaces on a \(\sigma\)-finite measure space \((X,\Sigma,\mu)\), and let \(S:X\to X\) be a non-singular map, i.e. \(\mu(A)=0\) implies \(\mu(S^{-1}(A))=0\), \(A\in\Sigma\). Denote \(\nu=\mu\circ S^{-1}\), \(\varphi= d\nu/d\mu\
openaire   +1 more source

Koopman Operator Family Spectrum for Nonautonomous Systems

SIAM Journal on Applied Dynamical Systems, 2018
For any non-autonomous dynamical system, the family of Koopman operators, as well as related Koopman eigenvalues and eigenfunctions, are parameterized by a time pair. Therefore, a logical approach in the data-driven algorithms for the non-autonomous Koopman mode decomposition is the application of a DMD method on the moving stencils of snapshots in ...
Maćešić, Senka, Črnjarić-Žic, Nelida, Mezić, Igor   +2 more
openaire   +1 more source

Active Data-Driven Model and Robust Control Scheme for Twisted Tendon-Sheath Hysteresis System Using Koopman Operator

IEEE Transactions on Automation Science and Engineering
Hysteresis is a typical nonlinear characteristic that exists in mechanical systems, which brings significant challenges to the robust tracking control of twisted tendon-sheath systems.
Xiangyu Wang, Yongchun Fang, Jianda Han, Ningbo Yu   +3 more
semanticscholar   +1 more source