Results 31 to 40 of about 780 (160)
Mathematics, 2021 Inferring the latent structure of complex nonlinear dynamical systems in a data driven setting is a challenging mathematical problem with an ever increasing spectrum of applications in sciences and engineering.
Zlatko Drmač, Igor Mezić, Ryan Mohr
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IEEE AccessThis paper proposes Koopman operator-based Stochastic Model Predictive Control (K-SMPC) for enhanced lateral control of autonomous vehicles. The Koopman operator is a linear map representing the nonlinear dynamics in an infinite-dimensional space.
Jin Sung Kim +3 more
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Koopman operator and its approximations for systems with symmetries [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019 Nonlinear dynamical systems with symmetries exhibit a rich variety of behaviors, often described by complex attractor-basin portraits and enhanced and suppressed bifurcations. Symmetry arguments provide a way to study these collective behaviors and to simplify their analysis.
Anastasiya Salova +4 more
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Propagation of Uncertainty with the Koopman Operator
2024 27th International Conference on Information Fusion (FUSION)27th Conference of Information Fusion ID ...
Servadio, Simone +4 more
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Koopman Operators in Robot Learning
IEEE Transactions on RoboticsKoopman operator theory offers a rigorous treatment of dynamics and has been emerging as an alternative modeling and learning-based control method across various robotics sub-domains. Due to its ability to represent nonlinear dynamics as a linear (but higher-dimensional) operator, Koopman theory offers a fresh lens through which to understand and ...
Lu Shi +7 more
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Analog and symbolic computation through the Koopman framework
Journal of Physics: ComplexityWe develop a Koopman operator framework for studying the computational structure of dynamical systems. Specifically, we show that the resolvent of the Koopman operator provides a natural abstraction of halting, yielding a ‘Koopman halting problem’ that ...
Francesco Caravelli +1 more
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Data-Driven Congestion Control of Micro Smart Sensor Networks for Transparent Substations
IEEE Access, 2021 Micro smart sensors and sensor networks are the key bases for building a fully visible, perceptible and controllable transparent substation in power grid.
Ke Zhou +3 more
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Decompositions of Dynamical Systems Induced by the Koopman Operator [PDF]
Analysis Mathematica, 2021 For a topological dynamical system we characterize the decomposition of the state space induced by the fixed space of the corresponding Koopman operator. For this purpose, we introduce a hierarchy of generalized orbits and obtain the finest decomposition of the state space into absolutely Lyapunov stable sets. Analogously to the measure-preserving case,
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Neural Koopman forecasting for critical transitions in infrastructure networks
Intelligent Systems with ApplicationsWe develop a data-driven framework for long-term forecasting of stochastic dynamics on evolving networked infrastructure systems using neural approximations of Koopman operators.
Ramen Ghosh
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Weighted Frobenius-Perron operators and their spectra [PDF]
Mathematica Bohemica, 2017 First, some classic properties of a weighted Frobenius-Perron operator $\mathcal{P}_\varphi^u$ on $L^1(\Sigma)$ as a predual of weighted Koopman operator $W=uU_\varphi$ on $L^\infty(\Sigma)$ will be investigated using the language of the conditional ...
Mohammad Reza Jabbarzadeh +1 more
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