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Optimization and nonsmooth analysis
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The Calculus of Variations as discussed by the authors is a generalization of the calculus of variations, which is used in many aspects of analysis, such as generalized gradient descent and optimal control.Abstract:
1. Introduction and Preview 2. Generalized Gradients 3. Differential Inclusions 4. The Calculus of Variations 5. Optimal Control 6. Mathematical Programming 7. Topics in Analysis.read more
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Dissertation
Distributed cooperative control for multi-agent systems
TL;DR: The closing ranks problem, which deals with the addition of links to a rigid multi-agent formation that is “damaged" by losing one of its agents, is mainly focused on, and some systematic 'self-repair' operations are proposed to recover the rigidity in case of agent removals.
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Continuous selections of linear functions and nonsmooth critical point theory
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Optimization methods and stability of inclusions in Banach spaces
Diethard Klatte,Bernd Kummer +1 more
TL;DR: It is shown that linear convergence of several first order methods and Lipschitz stability mean the same, and calmness and the Aubin property is characterized by uniformly (with respect to certain starting points)linear convergence of descent methods and approximate projection methods.
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In vivo human head MRI at 10.5T: A radiofrequency safety study and preliminary imaging results.
Alireza Sadeghi-Tarakameh,Alireza Sadeghi-Tarakameh,Lance DelaBarre,Russell L. Lagore,Angel Torrado-Carvajal,Angel Torrado-Carvajal,Xiaoping Wu,Andrea Grant,Gregor Adriany,Gregory J. Metzger,Pierre-Francois Van de Moortele,Kamil Ugurbil,Ergin Atalar,Yigitcan Eryaman +13 more
TL;DR: The purpose of this study is to safely acquire the first human head images at 10.5T, and to demonstrate the ability of the Imager to characterize the structure of the head at room temperature.
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History-dependent variational–hemivariational inequalities in contact mechanics ☆
TL;DR: In this paper, the authors consider a viscoelastic contact problem, where the contact is frictionless and is modeled with a new boundary condition which describes both the instantaneous and the memory effects of the foundation.