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Quantum-like cognition and decision-making in the light of quantum measurement theory. [PDF]
Philos Trans A Math Phys Eng SciFuyama M, Khrennikov A, Ozawa M.
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Complex Fluid Models of Mixed Quantum-Classical Dynamics. [PDF]
J Nonlinear SciGay-Balmaz F, Tronci C.
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Evaluation of the static and dynamic assistive torque of a passive upper limb occupational exoskeleton. [PDF]
Wearable TechnolRicard E +5 more
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Sparsity Structures for Koopman and Perron--Frobenius Operators
SIAM Journal on Applied Dynamical Systems, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schlosser, Corbinian, Korda, Milan
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Decomposition theorems for koopman operators
Nonlinear Analysis: Theory, Methods & Applications, 1997Let \(L^1(X)= L^1_\mu(X)= L^1(X,\Sigma,\mu)\), \(L^\infty(X)= L^\infty_\mu(X)= L^\infty(X,\Sigma,\mu)\) 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\
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Koopman Operators for Estimation and Control of Dynamical Systems
Annual Review of Control, Robotics, and Autonomous Systems, 2021A common way to represent a system's dynamics is to specify how the state evolves in time. An alternative viewpoint is to specify how functions of the state evolve in time. This evolution of functions is governed by a linear operator called the Koopman operator, whose spectral properties reveal intrinsic features of a system.
Samuel E. Otto, Clarence W. Rowley
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Koopman Operator Family Spectrum for Nonautonomous Systems
SIAM Journal on Applied Dynamical Systems, 2018For 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 ...
Senka Macesic +2 more
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Koopman Operator Inspired Nonlinear System Identification
SIAM Journal on Applied Dynamical Systems, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Control based on the Koopman operator: A comprehensive review
Journal of the Franklin InstituteLuis I Minchala +2 more
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Koopman operator dynamical models: Learning, analysis and control
Annual Reviews in Control, 2021Stefan Sosnowski, Sandra Hirche
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