On the anti-missile interception technique of unpowered phase based on data-driven theory
Mechanics & Industry, 2022 . The anti-missile interception technique of unpowered phase is of much importance in the military field, which depends on the prediction of the missile trajectory and the establishment of the missile model.
Huang Yong, Li Yang
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Koopman Operator–Based Knowledge-Guided Reinforcement Learning for Safe Human–Robot Interaction
Frontiers in Robotics and AI, 2022 We developed a novel framework for deep reinforcement learning (DRL) algorithms in task constrained path generation problems of robotic manipulators leveraging human demonstrated trajectories.
Anirban Sinha, Yue Wang
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Modeling of Nonlinear Dynamical Systems Using Koopman Operator Theory [PDF]
, 2021 The dynamics of most mechanical systems tends to incorporate nonlinearfunctions and behaviors to model complex systems. Due to the complexity of some of these systems, only analytical solutions can be found to model, optimize and control them however the
Snyder, Gregory Alonzo
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Trajectory Estimation in Unknown Nonlinear Manifold Using Koopman Operator Theory
CoRR, 2023 Formation coordination is a critical aspect of swarm robotics, which involves coordinating the motion and behavior of a group of robots to achieve a specific objective. In formation coordination, the robots must maintain a specific spatial arrangement while in motion.
Yanran Wang +3 more
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Koopman Operator Approximation under Negative Imaginary Constraints [PDF]
, 2023 Nonlinear Negative Imaginary (NI) systems arise in various engineering applications, such as controlling flexible structures and air vehicles. However, unlike linear NI systems, their theory is not well-developed. In this letter, we propose a data-driven
Meskin, Nader +5 more
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Data-Driven Modeling and Control via Koopman Operator Theory in Robotic Systems [PDF]
, 2023 With the development of more sophisticated robots that are increasingly aimed to venture outside of the lab, the higher dimensionality, complexity and nonlinearities of the underlying robotic systems as well as environmental uncertainty pose challenges ...
Shi, Lu
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Study of the Hypergeometric Equation via Data Driven Koopman-EDMD Theory
Axioms, 2023 We consider a data-driven method, which combines Koopman operator theory with Extended Dynamic Mode Decomposition. We apply this method to the hypergeometric equation which is the Fuchsian equation with three regular singular points.
Evangelos Melas +4 more
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Thompson aggregators, Scott continuous Koopmans operators, and Least Fixed Point theory
Mathematical Social Sciences, 2021 We reconsider the theory of Thompson aggregators proposed by Marinacci and Montrucchio (Marinacci and Montrucchio, 2010). We prove the existence of a Least Fixed Point (LFP) solution to the Koopmans equation. It is a recursive utility function. Our proof turns on demonstrating the Koopmans operator is a Scott continuous function when its domain is an ...
Robert A. Becker +1 more
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Real Algebraic Geometry with a View toward Koopman Operator Methods [PDF]
, 2023 This workshop was dedicated to the newest developments in real algebraic geometry and their interaction with convex optimization and operator theory. A particular effort was invested in exploring the interrelations with the Koopman operator methods in ...
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Koopman Kalman Particle Filter for Dynamic State Estimation of Distribution System
IEEE Access, 2022 Dynamic state estimation (DSE) plays an important role in the real-time control and monitoring of distribution systems, which are high-dimensional space–time systems. The degree of nonlinearity of distribution system increases drastically with the
Kai Wang +4 more
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