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Vehicular Applications of Koopman Operator Theory—A Survey [PDF]
IEEE Access, 2023 Koopman operator theory has proven to be a promising approach to nonlinear system identification and global linearization. For nearly a century, there had been no efficient means of calculating the Koopman operator for applied engineering purposes.
W. Manzoor +2 more
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On the Utility of Koopman Operator Theory in Learning Dexterous Manipulation Skills [PDF]
Conference on Robot Learning, 2023 Despite impressive dexterous manipulation capabilities enabled by learning-based approaches, we are yet to witness widespread adoption beyond well-resourced laboratories.
Yunhai Han +3 more
semanticscholar +1 more source
Algorithmic (Semi-)Conjugacy via Koopman Operator Theory [PDF]
IEEE Conference on Decision and Control, 2022 Iterative algorithms are of utmost importance in decision and control. With an ever growing number of algorithms being developed, distributed, and proprietarized, there is a similarly growing need for methods that can provide classification and ...
William T. Redman +4 more
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Dynamics Near the Three-Body Libration Points via Koopman Operator Theory [PDF]
Journal of Guidance Control and Dynamics, 2021 This paper investigates the application of the Koopman Operator theory to the motion of a satellite about a libration point in the Circular Restricted Three-Body Problem.
Simone Servadio, D. Arnas, R. Linares
semanticscholar +1 more source
Approximate Analytical Solution to the Zonal Harmonics Problem Using Koopman Operator Theory [PDF]
Journal of Guidance Control and Dynamics, 2020 This work introduces the use of the Koopman Operator Theory to generate analytical solutions for the zonal harmonics problem of a satellite orbiting a non spherical celestial body.
D. Arnas, R. Linares
semanticscholar +1 more source
Data-Driven Control of Soft Robots Using Koopman Operator Theory
IEEE Transactions on robotics, 2021 Controlling soft robots with precision is a challenge due to the difficulty of constructing models that are amenable to model-based control design techniques.
Daniel Bruder +4 more
semanticscholar +1 more source
Advances in Difference Equations, 2021 In this work, we construct the genuine Durrmeyer–Stancu type operators depending on parameter α in [ 0 , 1 ] $[0,1]$ as well as ρ > 0 $\rho >0$ and study some useful basic properties of the operators.
Abdullah Alotaibi +3 more
doaj +1 more source
Dunkl-type generalization of the second kind beta operators via ( p , q ) $(p,q)$ -calculus
Journal of Inequalities and Applications, 2021 The main purpose of this research article is to construct a Dunkl extension of ( p , q ) $(p,q)$ -variant of Szász–Beta operators of the second kind by applying a new parameter.
Md. Nasiruzzaman +2 more
doaj +1 more source
Journal of Function Spaces, 2022 Two concepts—one of Darbo-type theorem and the other of Banach sequence spaces—play a very important and active role in ongoing research on existence problems.
S. A. Mohiuddine +2 more
doaj +1 more source
Nonlinear System Identification of Soft Robot Dynamics Using Koopman Operator Theory [PDF]
IEEE International Conference on Robotics and Automation, 2018 Soft robots are challenging to model due in large part to the nonlinear properties of soft materials. Fortunately, this softness makes it possible to safely observe their behavior under random control inputs, making them amenable to large-scale data ...
Daniel Bruder, C. Remy, Ram Vasudevan
semanticscholar +1 more source