Tangent vector field approach for curved path following with input saturation

2017 ◽  
Vol 104 ◽  
pp. 49-58 ◽  
Author(s):  
Yueqian Liang ◽  
Yingmin Jia
Keyword(s):  
Vector Field ◽  
Input Saturation ◽  
Tangent Vector ◽  
Path Following ◽  
Tangent Vector Field ◽  
Field Approach

scholarly journals An Operator Approach to Tangent Vector Field Processing

2013 ◽  
Vol 32 (5) ◽  
pp. 73-82 ◽  
Author(s):  
Omri Azencot ◽  
Mirela Ben-Chen ◽  
Frédéric Chazal ◽  
Maks Ovsjanikov
Keyword(s):  
Vector Field ◽  
Tangent Vector ◽  
Tangent Vector Field ◽  
Operator Approach

scholarly journals A Set of Axioms for the Degree of a Tangent Vector Field on Differentiable Manifolds

2010 ◽  
Vol 2010 (1) ◽  
pp. 845631 ◽  
Author(s):  
Massimo Furi ◽  
MariaPatrizia Pera ◽  
Marco Spadini
Keyword(s):  
Vector Field ◽  
Tangent Vector ◽  
Tangent Vector Field ◽  
Differentiable Manifolds

scholarly journals Branches of Forced Oscillations Induced by a Delayed Periodic Force

2019 ◽  
Vol 19 (1) ◽  
pp. 149-163 ◽  
Author(s):  
Alessandro Calamai ◽  
Maria Patrizia Pera ◽  
Marco Spadini
Keyword(s):  
Vector Field ◽  
Periodic Solutions ◽  
Delay Differential Equations ◽  
Time Lag ◽  
Tangent Vector ◽  
Forced Oscillations ◽  
Tangent Vector Field ◽  
Periodic Force ◽  
Topological Approach ◽  
Delay Differential

Abstract We study global continuation properties of the set of T-periodic solutions of parameterized second order delay differential equations with constant time lag on smooth manifolds. We apply our results to get multiplicity of T-periodic solutions. Our topological approach is mainly based on the notion of degree of a tangent vector field.

scholarly journals A Riemannian derivative-free Polak–Ribiére–Polyak method for tangent vector field

2020 ◽  
Vol 86 (1) ◽  
pp. 325-355 ◽  
Author(s):  
Teng-Teng Yao ◽  
Zhi Zhao ◽  
Zheng-Jian Bai ◽  
Xiao-Qing Jin
Keyword(s):  
Vector Field ◽  
Tangent Vector ◽  
Tangent Vector Field ◽  
Derivative Free

On some notions of tangent space to a measure

1999 ◽  
Vol 129 (2) ◽  
pp. 331-342 ◽  
Author(s):  
Ilaria Fragalà ◽  
Carlo Mantegazza
Keyword(s):  
Vector Field ◽  
Radon Measure ◽  
Tangent Space ◽  
Blow Up ◽  
Measure Theory ◽  
Tangent Vector ◽  
Geometric Measure Theory ◽  
Tangent Vector Field ◽  
Geometric Measure ◽  
Variable Dimension

We consider some definitions of tangent space to a Radon measure μ on ℝn that have been given in the literature. In particular, we focus our attention on a recent distributional notion of tangent vector field to a measure and we compare it to other definitions coming from ‘geometric measure theory’, based on the idea of blow-up. After showing some classes of examples, we prove an estimate from above for the dimension of the tangent spaces and a rectifiability theorem which also includes the case of measures supported on sets of variable dimension.

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