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The servo problem for a wide class of nonlinear system is considered.A quantitative bound on system trajectories is derived. For piecewise linearsystems the bound is shown to be computable in terms of linear matrixinequalities.
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Simmons (1990) has introduced an extended authentication model where caution is taken both against deceptions from an outsider (opponent) and against some forms of deception from the insiders (transmitter and receiver). Codes for this model are called authentication codes with arbitration, or simply A2 codes. A new construction of authentication codes with arbitration is proposed, which uses codes
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An extended Kalman-Yakubovich-Popov (KYP) Lemma for positive systems is derived. The main difference compared to earlier versions is that non-strict inequalities are treated. Matrix assumptions are also less restrictive. Moreover, a new equivalence is introduced in terms of linear programming rather than semi-definite programming. As a complement to the KYP lemma, it is also proved that a symmetri
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Evaluating the user experience is often done in a laboratory. Methods for observing what happens in the wild are nonetheless being employed because they bring results that the traditional methods of evaluation do not yield. In this paper we describe and discuss methods used at our lab for understanding the mobile user experience. These methods range from quantitative to qualitative evaluation, and
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The recent experimental measurement of the muon g−2 at Fermilab National Laboratory, at a 4.2σ tension with the Standard Model prediction, highlights the need for further improvements on the theoretical uncertainties associated to the hadronic sector. In the framework of the operator product expansion in the presence of a background feld, the short-distance behaviour of the hadronic light-by-light
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Scattering amplitudes are often split up into their color (su(N) ) and kinematic components. Since the su(N) gauge part can be described using flows of color, one may anticipate that the su(2 ) ⊕ su(2 ) kinematic part can be described in terms of flows of chirality. In two recent papers we showed that this is indeed the case, introducing the chirality-flow formalism for standard model calculations
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We conduct what we believe to be the most methodologically rigorous study of mood effect in the field so far to measure its economic impact and address shortcomings in the existing literature. Using a large dataset containing over 46 million car inspections in Sweden and England in 2016 and 2017, we study whether inspectors are more lenient on days when their mood is predicted to be good, and if c
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In this paper, the matched reassigned spectrogram is expanded into a novel matched phase reassignment (MPR) method based on the reassigned cross-spectrogram. It is shown that for two phase synchronized oscillating transient signals, the method gives perfect time-frequency (TF) localization. The MPR is thereby a TF local measure of phase synchronization and can also be used to measure phase differe
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Urban landscapes, structures and design features are associated with travel mode choice and have implications for sustainable living environments. The particular role of the built environment for children’s independent active mobility has received increasing attention in research and practice. However, the complexity of the transactions between person and environment needs to be understood with sp
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We establish the Hasse principle for smooth projective quartic hypersurfaces of dimension greater than or equal to 28 defined over Q.
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The field synergy principle has three criteria to qualitatively describe the essence of single-phase convective heat transfer enhancement. However, in practice these criteria are difficult to be applied to convective heat transfer analysis, because there are no corresponding indicators available to quantitatively describe them. Therefore, a unified formula for the field synergy principle was devel
