Results 11 to 20 of about 21,261 (267)
Naked Singularities in the Einstein-Euler System
Annals of PDE, 2023 AbstractIn 1990, based on numerical and formal asymptotic analysis, Ori and Piran predicted the existence of selfsimilar spacetimes, called relativistic Larson-Penston solutions, that can be suitably flattened to obtain examples of spacetimes that dynamically form naked singularities from smooth initial data, and solve the radially symmetric Einstein ...
Guo, Yan, Hadzic, Mahir, Jang, Juhi
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Feedback linearization of discrete-time nonlinear control systems: computational aspects [PDF]
Proceedings of the Estonian Academy of Sciences, 2020 An alternative solution of the static state feedback linearization problem for the discrete-time case is given. This solution is based on the sequence of distributions, whose computation requires only the knowledge of the backward shift equations.
Tanel Mullari, Ülle Kotta
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A Decoupling Method for Successive Robot Rotation Based on Time Domain Instantaneous Euler Angle
Mathematics, 2023 In the present study, a novel time domain decoupling method was proposed for the multiple successive rotations of different kinds of robots. This is achieved through the utilization of instantaneous Euler angles.
Xin Zhou, Jianxu Zhu
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Nonlocal constants of motion in Lagrangian Dynamics of any order
Partial Differential Equations in Applied Mathematics, 2022 We describe a recipe to generate “nonlocal” constants of motion for ODE Lagrangian systems. As a sample application, we recall a nonlocal constant of motion for dissipative mechanical systems, from which we can deduce global existence and estimates of ...
Gianluca Gorni +2 more
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Dissipation and controlled Euler-Poincare systems [PDF]
Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002 The method of controlled Lagrangians is a technique for stabilizing underactuated mechanical systems which involves modifying a system's energy and dynamic structure through feedback. These modifications can obscure the effect of physical dissipation in the closed-loop.
Woolsey, C. A. +3 more
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Archives of Mechanics, 2011 Nonlocally related systems for the Euler and Lagrange systems of two-dimensional dynamical nonlinear elasticity are constructed. Using the continuity equation, i.e., conservation of mass of the Euler system to represent the density and Eulerian velocity ...
G. Bluman, J.F. Ganghoffer
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Sensors, 2020 In this paper, we investigate a trajectory control problem for Euler-Lagrange systems with unknown quantization on the actuator channel. To address such a challenge, we proposed a quantization-mitigation-based trajectory control method, wherein adaptive ...
Yi Lyu, Qiyu Yang, Patrik Kolaric
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Landau levels of the Euler class topology
Physical Review Research, 2022 Two-dimensional systems with C_{2}T (PT) symmetry exhibit the Euler class topology E∈Z in each two-band subspace realizing a fragile topology beyond the symmetry indicators.
Yifei Guan +2 more
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Solution Semiflow to the Isentropic Euler System [PDF]
Archive for Rational Mechanics and Analysis, 2019 It is nowadays well understood that the multidimensional isentropic Euler system is desperately ill--posed. Even certain smooth initial data give rise to infinitely many solutions and all available selection criteria fail to ensure both global existence and uniqueness.
Breit, D. +2 more
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Euler system for Galois deformations [PDF]
Annales de l'Institut Fourier, 2005 In this paper, we develop the Euler system theory for Galois deformations. By applying this theory to the Beilinson-Kato Euler system for Hida’s nearly ordinary modular deformations, we prove one of the inequalities predicted by the two-variable Iwasawa main conjecture. Our method of the proof of the Euler system theory is based on
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