Results 131 to 140 of about 236,452 (310)
Linear Algebra and its Applications, 2008 Matrix multiplication was first introduced by Arthur Cayley in 1855 in agreement with the composition of linear transformations. The author explores an underlying geometric framework in which matrix multiplication naturally arises from the product of numbers in a geometric (Clifford) algebra.
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Sliding Mode Control in Aerospace Applications: A Survey
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
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Illustrating Geometric Algebra and Differential Geometry in 5D Color Space
, 2023 Werner Benger
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Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
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Responsive Materials, EarlyView.Machine learning provides a unifying framework to connect structure, fluorescence properties, and applications of carbon‐based quantum dots. This review highlights how data‐driven strategies enable fluorescence regulation, reveal underlying mechanisms, and accelerate the rational design of functional carbon dots.
Liangfeng Chen +8 more
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Sustainable Development, EarlyView.ABSTRACT Certain attributes of large‐scale complex systems are often expressed through sets of indicators. For example, the sustainability of an entity, be it a nation, a city, an energy system, a corporation etc., can be effectively represented by indicators and corresponding data series.
Vassilis S. Kouikoglou +1 more
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Local origins of quantum correlations rooted in geometric algebra [PDF]
, 2022 Joy Christian
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Key Technical Fields and Future Outlooks of Space Manipulators: A Survey
SmartBot, EarlyView.This paper systematically reviews the technological development of space manipulators, emphasizing the unique challenges posed by space environments. It examines four areas: structural design, modeling, planning, and control, while introducing typical ground test platforms.
Gang Chen +12 more
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SmartBot, EarlyView.This article reviews the application of fiber Bragg grating (FBG) technology for precise force sensing in minimally invasive surgery. It outlines the fundamental working principles and algorithms used to interpret sensor data. The text surveys clinical applications across various medical fields, such as ophthalmology and vascular intervention (Table of
Shiyuan Dong +9 more
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Small Methods, EarlyView.This study demonstrates tunable photovoltaic responses in pure, polycrystalline BiFeO3 thin films, controlled by external electric and magnetic fields. By aligning ferroelectric domains and leveraging magnetoelectric coupling, the photogeneration is amplified up to seven times.
Luciano Cardoso Dias +14 more
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