198 research outputs found

    Validated Model Predictive Control based on Exponential Enclosures

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    On the ethical-aesthetic potentials of special atmospheres

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    Discussions concerning the atmospheric raise questions about how it can be defined and what influences may stem from particular atmospheres. Moreover, a shift in emphasis can be seen in respect of the way phenomena and disciplines are understood. Aesthetics is considered to be a theory of sensual perception; ethics serves as a theory of the good life. The article focuses on the relationship between atmospheres and aesthetics (e.g. Benjamin’s ‘aura’ and Rilke on Rodin’s sculptures) as well as atmospheres and ethics (e.g. architecture or politics as façade) and concludes with three points about ethical-aesthetic potentials, thus enhancing in-betweenness, the development of aesthetic interest, as well as a re-evaluation

    Higgs effects in top anti-top production near threshold in e+ e- annihilation

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    The completion of the third-order QCD corrections to the inclusive top-pair production cross section near threshold demonstrates that the strong dynamics is under control at the few percent level. In this paper we consider the effects of the Higgs boson on the cross section and, for the first time, combine the third-order QCD result with the third-order P-wave, the leading QED and the leading non-resonant contributions. We study the size of the different effects and investigate the sensitivity of the cross section to variations of the top-quark Yukawa coupling due to possible new physics effects.Comment: LaTeX, 17 page

    Interval Approaches to Reliable Control of Dynamical Systems

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    Verified integration of differential equations with discrete delay

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    Many dynamic system models in population dynamics, physics and control involve temporally delayed state information in such a way that the evolution of future state trajectories depends not only on the current state as the initial condition but also on some previous state. In technical systems, such phenomena result, for example, from mass transport of incompressible fluids through finitely long pipelines, the transport of combustible material such as coal in power plants via conveyor belts, or information processing delays. Under the assumption of continuous dynamics, the corresponding delays can be treated either as constant and fixed, as uncertain but bounded and fixed, or even as state-dependent. In this paper, we restrict the discussion to the first two classes and provide suggestions on how interval-based verified approaches to solving ordinary differential equations can be extended to encompass such delay differential equations. Three close-to-life examples illustrate the theory
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