Sweeping process with unbounded nonconvex perturbation

2014 ◽  
Vol 108 ◽  
pp. 291-301 ◽  
Author(s):  
A.A. Tolstonogov
Keyword(s):  
2019 ◽  
Vol 28 (2) ◽  
Author(s):  
MUSTAPHA FATEH YAROU

In this paper, we present a new approach to solving second order nonconvex perturbed sweeping process in finite dimensional setting. It consists in a reduction of the problem to a first order one without use of the standard methods of fixed point theory. The perturbation, that is the external force applied on the system is not necessary with bounded values.


2014 ◽  
Vol 42 (4) ◽  
pp. 595-612 ◽  
Author(s):  
Jimmy Noel ◽  
Lionel Thibault
Keyword(s):  

Optimization ◽  
2018 ◽  
Vol 69 (7-8) ◽  
pp. 1391-1437
Author(s):  
Florent Nacry ◽  
Lionel Thibault

2005 ◽  
Vol 53 (1) ◽  
pp. 129-149 ◽  
Author(s):  
Gabe Mythen

German sociologist Ulrich Beck maintains that economic, technological and environmental transitions have radically reshaped employment relations in Western Europe. Whilst theories of employment transformation are historically ubiquitous, Beck's contribution is rather unique. Utilising risk as a lens through which subterranean shifts in employment, the economy and society can be visualised, Beck's work has been heralded as a significant theoretical landmark. The risk society perspective emphasizes the diffusion of two interlinked macro-social processes. Firstly, Beck identifies a sweeping process of individualization which recursively generates personal insecurity and reflexive decision-making. Secondly, changes in the relationship between capital and labour are said to have facilitated an underlying shift in the pattern of social distribution. This paper scrutinises Beck's understanding of these two processes, as a means of developing a broader critique of the risk society perspective. Theoretically, it will be argued that Beck deploys unsophisticated and artificial categories, amalgamates disparate forms of risk and compacts together diverse employment experiences. Empirically, the paper demonstrates that – far from being directed by a universal axis of risk – labour market inequalities follow the grooves etched by traditional forms of stratification.


1987 ◽  
Vol 109 (1) ◽  
pp. 50-60 ◽  
Author(s):  
J. K. Davidson ◽  
K. H. Hunt

The sweeping process is used for conceptually describing plane-workspaces and for distinguishing certain forms of these workspaces for robots. The tangent point to the plane-workspace of a tool plane σ is identified as the intersection point of σ with that extreme-distance line which is also normal to σ. The quartic ruled surface, which is a new property of the dual torus, is identified and described. It contains information that uniquely identifies the 2-R manipulator which generates the dual torus. these geometric features are then used in developing the equations for computer generation of plane-workspace envelopes and boundaries for an n-R robot.


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