Results 91 to 100 of about 10,375 (259)
The Jacobian Conjecture$$_{2n}$$ Implies the Dixmier Problem$$_n$$
, 2020 The aim of the paper is to describe some ideas, approaches, comments, etc. regarding the Dixmier Conjecture, its generalizations and analogues.
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An Improved Air Film Model for Studying the Tilt Characteristics of Aerostatic Thrust Bearings
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In this study, an improved mass‐spring model that treats the lubricating air film as distributed springs is proposed to calculate the static and dynamic angular stiffness of aerostatic thrust bearings. The proposed model refines the traditional mass‐spring model by introducing the spatially varying mechanical properties of the air film and the
Hui Zhuang, Jianguo Ding, Yu Chang
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Inertial‐Based LQG Control: A New Look at Inverted‐Pendulum Stabilization
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Linear‐quadratic Gaussian (LQG) control is a well‐established method for optimal control through state estimation, particularly in stabilizing an inverted pendulum on a cart. In standard laboratory setups, sensor redundancy enables direct measurement of configuration variables using displacement sensors and rotary encoders. However, in outdoor
Daniel Engelsman, Itzik Klein
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Forward Kinematics Analysis of 2RUS/RRS Parallel Mechanism
Jixie chuandong, 2018 The iterative search method（ Newton or Quasi-Newton） is an important numerical method for solving the forward kinematics（ FK） problem of parallel mechanisms. Due to the extremely displacement singularity in the limbs,the search space is easy to be out of
Geng Mingchao +3 more
doaj
Plane Jacobian problem for rational polynomials
, 2008 This paper has been ...
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Mappings with convex potentials and the quasiconformal Jacobian problem
Illinois Journal of Mathematics, 2005 This paper concerns convex functions that arise as potentials of quasiconformal mappings. Several equivalent definitions for such functions are given. We use them to construct quasiconformal mappings whose Jacobian determinants are singular on a prescribed set of Hausdorff dimension less than 1.
Kovalev, Leonid V., Maldonado, Diego
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This paper presents a Physics‐Informed Koopman Operator (PIKO) framework integrated with a discrete‐time Sequential Action Control (SAC) for real‐time, decentralized control of a modular aerial parcel delivery robot composed of multiple independently actuated propeller modules.
Archit Krishna Kamath +2 more
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Near Surface Geophysics, EarlyView.Abstract In studies of subsurface hydrology, monitoring and imaging techniques are used to estimate the moisture content, or to track moisture or injected tracer movement. One applied imaging technique is electrical resistance tomography (ERT), in which measurements collected using electrodes placed on the ground surface or in boreholes are used to ...
Mikko Räsänen +3 more
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Approximate Reachability for Feedback Linearizable Systems
Optimal Control Applications and Methods, EarlyView.The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu +2 more
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The degree of the Jacobian locus and the Schottky problem
, 2004 We show that the degree of the images of the moduli space of (principally polarized) abelian varieties A_g and of the moduli space of curves M_g in the projective space under the theta constant embedding are equal to the top self-intersection numbers of one half the first Hodge class on them.
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