This article investigates the null controllability of planar bimodal piecewise linear systems, which consist of two second order LTI systems separated by a line crossing through the origin. It is interesting to note that even when both subsystems are controllable in the classical sense, the whole piecewise linear system may be not null controllable. On the other hand, a piecewise linear system ...

A double-null configuration is being considered for the EU-DEMO, due to its potential benefits power exhaust arising from use of two active divertors and magnetically disconnected low- high-field sides. Using systematic parameter scans in fluid simulations, we have investigated divertor EU-DEMO a connected configuration, compared edge plasma properties those obtained single-null under detached ...

The present debate on the validity of the "acid-growth theory" of auxin (indole-3-acetic acid, IAA) action concentrates on the question of whether IAA-induced proton excretion into the cell wall is quantitatively sufficient to provide the shift in pH that is required to explain IAA-induced growth (see D.L. Rayle, R.E. Cleland [1992] Plant Physiol 99:1271-1274 for a recent apologetic review of t...

This paper deals with the null-controllability of a system mixed parabolic-elliptic pdes at any given time T>0. More precisely, we consider Kuramoto-Sivashinsky–Korteweg-de Vries equation coupled second order elliptic posed in interval (0,1). We first show that linearized is globally null-controllable by means localized interior control acting on either KS-KdV or equation. Using Carleman approa...

Given the recent and highly publicized scandals involving psychology researchers who cheated, the proliferation of articles on related topics is unsurprising. As an example, Simons et al. (2011) pointed out subtle ways in which researchers can increase their false positive rate above the nominal level of p < 0.05. From my perspective, a major limitation of the literature on cheating has been a ...

A test for stationarity in the presence of a structural break is proposed. An unknown break point is endogenously determined at the value minimizing the test statistic. The break point can be estimated reasonably well under the null hypothesis of stationarity, especially when the magnitude of the break is large.

The false discovery rate (FDR) is a multiple hypothesis testing quantity that describes the expected proportion of false positive results among all rejected null hypotheses. Benjamini and Hochberg introduced this quantity and proved that a particular step-up p-value method controls the FDR. Storey introduced a point estimate of the FDR for fixed significance regions. The former approach conserv...

Let D be a domain in C and φ a holomorphic automorphism of D. Let C be the measure class of the Lebesgue measure in D, i.e., the set of all positive regular Borel measures on D whose null sets coincide with the Lebesgue null sets. Let φ∗ be the automorphism of C given by (φ∗μ)(B) = μ(φ−1(B)) (μ ∈ C , B ∈ B(D)), where B(D) denotes the Borel σ-algebra of D. Adopting the terminology introduced in ...

References [1] Díaz-Uribe, R. and Campos-García, M., “Null-screen testing of fast convex aspheric surfaces,” Appl Opt, 39, 2670–2677 (2000). [2] D. Malacara-Doblado and I. Ghozeil, “Hartmann and other screen tests”, in [Optical Shop Testing], Third Ed., D. Malacara, ed. (Wiley, 2007), 361-394. [3] Moreno-Oliva, V. I., Campos-García, M., Bolado-Gómez, R. and Díaz-Uribe, R., “Point shifting in th...