In this paper, we develop two new model reference adaptive control (MRAC) schemes for a class of nonlinear dynamic systems that is robust with respect to an uncertain state (output) dependent nonlinear perturbations and/or external disturbances with unknown bounds. The design is based on a controller parametrization with an adaptive integral action. Two types of adaptive controllers are conside...

When we design weather-forecasting and climate models we have to average over (‘parametrize’) smaller scales of the atmospheric flow. Our parametrizations are generally based on our understanding of idealizations, typically the assumption that the smaller-scales are horizontally homogeneous and in steady-state (equilibrium). The resulting parametrization thus produces horizontally homogeneous s...

We propose a novel quasiparticle interpretation of the equation of state of deconfined QCD at finite temperature. Using appropriate thermal masses, we introduce a phenomenological parametrization of the onset of confinement in the vicinity of the phase transition. Lattice results of the energy density, the pressure and the interaction measure of pure SU(3) gauge theory are well reproduced. A re...

This note provides an explicit parametrization of all purifications of a mixed state in dimension 2 and all joint purifications, if any, of two mixed states in the same dimension. The former is parametrized by SO(3, R), while the latter is parametrized by SO(2, R), except when the state being purified is already pure. Using this, we show how to calculate certain measures of quantum information ...

We propose a novel quasiparticle interpretation of the equation of state of deconfined QCD at finite temperature. Using appropriate thermal masses, we introduce a phenomenological parametrization of the onset of confinement in the vicinity of the phase transition. Lattice results of the energy density, the pressure and the interaction measure of pure SU(3) gauge theory are well reproduced. A re...

New algebraic structure on electronic Fock space is studied in detail. This structure is defined in terms of a certain multiplication of many electron wave functions and has close interrelation with coupled cluster and similar approaches. Its study clarifies and simplifies the mathematical backgrounds of these approaches. And even more, it leads to many relations that would be very difficult to...

In this paper, we examine the parametrization of all stabilizing multiperiod repetitive controllers with the specified frequency characteristics. The parametrization of all stabilizing multi-period repetitive controllers, those are used to improve the disturbance attenuation characteristics of the repetitive controller, for non-minimum phase systems was solved by Yamada et al. However, when we ...

New, radiatively generated, NLO quark (u, d, s, c, b) and gluon densities in a real, unpolarized photon are presented. We perform three global fits, based on the NLO DGLAP evolution equations for Q 2 > 1 GeV 2 , to all the available structure function F γ 2 (x, Q 2) data. As in our previous LO analysis we utilize two theoretical approaches. Two models, denoted as FFNS CJK 1 & 2 NLO, adopt the s...

The concept of Kalman ltering is described as a tool to nd and reconstruct the location of interaction points in high energy physics events. We discuss the method for using charged particle tracks, and we propose for the rst time to apply it also for neutral particles, and to combine the information from both charged and neutral particles originating from a common point in space. The formalism ...

[1] The impact of time‐varying radiative forcing on the diagnosis of radiative feedback from satellite observations of the Earth is explored. Phase space plots of variations in global average temperature versus radiative flux reveal linear striations and spiral patterns in both satellite measurements and in output from coupled climate models. A simple forcing‐ feedback model is used to demonstr...