This paper addresses the problem of H∞ output feedback control of commensurate Fractional Order Systems (FOS) of order 1 < ν < 2. Along the lines of recent work on H∞ norm computation for FOS, an extension of Bounded Real Lemma for FOS is proposed. This lemma is used to derive a method to design H∞ output feedback control laws. The efficiency of this method… (More)

In this paper, we consider two-scale limits obtained with increasing homogenization periods, each period being an entire multiple of the previous one. We establish that, up to a measure preserving rearrangement, these two-scale limits form a martingale which is bounded: the rearranged two-scale limits themselves converge both strongly in L2 and almost… (More)

This paper addresses the problem of H<sub>∞</sub> output feedback control of commensurate Fractional Order Systems (FOS) of order 1 <; υ <; 2. Along the lines of recent work on H<sub>∞</sub> norm computation for FOS, an extension of Bounded Real Lemma for FOS is proposed. This lemma is used to derive a method to design… (More)

The classical convergence result for the additive Schwarz preconditioner with coarse grid is based on a stable decomposition. The result holds for discrete versions of the Schwarz preconditioner, and states that the preconditioned operator has a uniformly bounded condition number that depends only on the number of colors of the domain decomposition, the… (More)

In this paper, we are interested in scalable Domain Decomposition Methods (DDM). To this end, we introduce and study a new Coarse Space Correction algorithm for Optimized Schwarz Methods(OSM): the DCS-DGLC algorithm. The main idea is to use a Discontinuous Galerkin like formulation to compute a discontinuous coarse space correction. While the local spaces… (More)

We study the magnetic behavior of ferromagnetic bilayers and how the super-exchange energy affects it. To this end, we compute, for several values of the super-exchange parameters, the final magnetization states of two configurations of bilayered ferromagnetic domains: one made of two stacked thin square plates and the other made of two stacked thin… (More)