Related publications (40)

A Data-Driven Fixed-Structure Control Design Method with Application to a 2-DOF Gyroscope

Alireza Karimi, Christoph Manuel Kammer

This paper presents the practical aspects and application of a novel data-driven, fixed-structure, robust control design method. Only the frequency response data of the system is needed for the design, and no parametric model is required. The method can be ...
IEEE2018

Existence and Non-uniqueness of Global Weak Solutions to Inviscid Primitive and Boussinesq Equations

Elisabetta Chiodaroli

We consider the initial value problem for the inviscid Primitive and Boussinesq equations in three spatial dimensions. We recast both systems as an abstract Eulertype system and apply the methods of convex integration of De Lellis and Székelyhidi to show t ...
2017

Existence and Non-uniqueness of Global Weak Solutions to Inviscid Primitive and Boussinesq Equations

Elisabetta Chiodaroli

We consider the initial value problem for the inviscid Primitive and Boussinesq equations in three spatial dimensions. We recast both systems as an abstract Euler-type system and apply the methods of convex integration of De Lellis and Sz,kelyhidi to show ...
Springer Verlag2017

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Robert Granger, Thorsten Kleinjung, Jens Markus Zumbrägel

For~qq a prime power, the discrete logarithm problem (DLP) in~\Fq\F_{q} consists in finding, for any gFq×g \in \mathbb{F}_{q}^{\times} and hgh \in \langle g \rangle, an integer~xx such that gx=hg^x = h. We present an algorithm for computing discrete logarithm ...
2016

Feynman-Kac representation for the parabolic Anderson model driven by fractional noise

Kamran Kalbasi

We consider the parabolic Anderson model driven by fractional noise: partial derivative/partial derivative t u(t,x) = k Delta u(t,x) + u(t,x)partial derivative/partial derivative t W(t,x) x is an element of Z(d), t >= 0, where k > 0 is a diffusion constant ...
Academic Press Inc Elsevier Science2015

Some New Results On Differential Inclusions For Differential Forms

Bernard Dacorogna, Olivier Kneuss, Saugata Bandyopadhyay

In this article we study some necessary and sufficient conditions for the existence of solutions in W-0(1,infinity) (Omega; Lambda(k)) of the differential inclusion d omega is an element of E a.e. in Omega where E subset of Lambda(k+1) is a prescribed set. ...
Amer Mathematical Soc2015

Sign changes of Kloosterman sums with almost prime moduli

Ping Xi

We prove that the Kloosterman sum changes sign infinitely often as runs over squarefree moduli with at most 10 prime factors, which improves the previous results of Fouvry and Michel, Sivak-Fischler and Matomaki, replacing 10 by 23, 18 and 15, respectively ...
Springer Verlag2015

On the discrete logarithm problem in finite fields of fixed characteristic

Robert Granger, Thorsten Kleinjung, Jens Markus Zumbrägel

For qq a prime power, the discrete logarithm problem (DLP) in Fq\mathbb{F}_q consists in finding, for any gFq×g \in \mathbb{F}_{q}^{\times} and hgh \in \langle g \rangle, an integer xx such that gx=hg^x = h. We present an algorithm for computing discrete log ...
2015

Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem

Charles Stuart

We consider bifurcation from the line of trivial solutions for a nonlinear eigenvalue problem on a bounded open subset, Omega, of R-N with N >= 3, containing 0. The leading term is a degenerate elliptic operator of the form L(u) = del . A del u where A is ...
Pergamon-Elsevier Science Ltd2015

Robust Performance Analysis of Single Parameter-dependent Systems with Polynomially Parameter-dependent Lyapunov Matrices

Alireza Karimi

This paper addresses the problem of H-infinity and H-2 performance analysis of continuous-time affine single parameter-dependent systems with polynomially parameter-dependent Lyapunov matrices. First, some necessary and sufficient conditions in terms of li ...
2014

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