Results 11 to 20 of about 1,034,900 (267)

On the Singular Perturbations for Fractional Differential Equation [PDF]

open access: yesThe Scientific World Journal, 2014
The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative. To achieve this, we presented a review of the concept of fractional calculus. We make use of the
Abdon Atangana
doaj   +3 more sources

Fractional powers and singular perturbations of quantum differential Hamiltonians [PDF]

open access: yesJournal of Mathematics and Physics, 2018
We consider the fractional powers of singular (point-like) perturbations of the Laplacian, and the singular perturbations of fractional powers of the Laplacian, and we compare such two constructions focusing on their perturbative structure for resolvents
Michelangeli, Alessandro   +2 more
core   +2 more sources

Perturbation determinants for singular perturbations

open access: yesRussian Journal of Mathematical Physics, 2014
For proper extensions of a densely defined closed symmetric operator with trace class resolvent difference the perturbation determinant is studied in the framework of boundary triplet approach to extension theory.
Malamud, Mark M., Neidhardt, Hagen
semanticscholar   +6 more sources

Art of singular vectors and universal adversarial perturbations [PDF]

open access: yes2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2017
Vulnerability of Deep Neural Networks (DNNs) to adversarial attacks has been attracting a lot of attention in recent studies. It has been shown that for many state of the art DNNs performing image classification there exist universal adversarial ...
Khrulkov, Valentin, Oseledets, Ivan
core   +2 more sources

Cosmological Perturbations Through a Non-Singular Ghost-Condensate/Galileon Bounce [PDF]

open access: yes, 2014
We study the propagation of super-horizon cosmological perturbations in a non-singular bounce spacetime. The model we consider combines a ghost condensate with a Galileon term in order to induce a ghost-free bounce.
Battarra, Lorenzo   +3 more
core   +5 more sources

Multiple perturbations of a singular eigenvalue problem [PDF]

open access: yes, 2015
We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija   +2 more
core   +2 more sources

Singular perturbations in stochastic optimal control with unbounded data [PDF]

open access: yesE S A I M: Control, Optimisation and Calculus of Variations, 2022
. We study singular perturbations of a class of two-scale stochastic control systems with unbounded data. The assumptions are designed to cover some relaxation problems for deep neural networks.
M. Bardi, Hicham Kouhkouh
semanticscholar   +1 more source

Saturating PI Control of Stable Nonlinear Systems Using Singular Perturbations [PDF]

open access: yesIEEE Transactions on Automatic Control, 2021
This article presents an antiwindup propor- tional-integral (PI) controller, using a saturating integrator, for a single-input and single-output (SISO) stable nonlinear plant, whose steady-state input–output map is increasing.
Pietro Lorenzetti, G. Weiss
semanticscholar   +1 more source

Homotopic approach for turnpike and singularly perturbed optimal control problems [PDF]

open access: yesESAIM: Proceedings and Surveys, 2021
The first aim of this article is to present the link between the turnpike property and the singular perturbations theory: the first one being a particular case of the second one.
Cots Olivier   +2 more
doaj   +1 more source

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