This note presents two theorems on asymptotic state consensus of continuous time nonlinear multi-agent systems. The agents reside in Rm and have switching interconnection topologies. Both the first theorem, formulated in terms of the states of individual agents, and the second theorem, formulated in terms of the pairwise states for pairs of agents, can be interpreted as variants of Lyapunov's seco

The Kuramoto model evolves on the circle, i.e., the 1-sphere mathsf S^ 1. A graph mathcal G is referred to as mathsf S^ 1 -synchronizing if the Kuramoto model on mathcal G synchronizes almost globally. This paper generalizes the Kuramoto model and the concept of synchronizing graphs to the Stiefel manifold St (p, n). Previous work on generalizations of the Kuramoto model have largely been influenc

In this paper, the multi pursuer version of the pursuit evasion problem in polygonal environments is addressed. This problem is NP-hard, and therefore we seek good enough, but not optimal solutions. By modeling the problem as a Boolean Control Network, we can efficiently keep track of which regions are cleared, and which are not, while the input nodes of the network are used to represent the motio

This letter provides a safety analysis for emergencybraking scenarios involving consecutive vehicles. The vehicles useadaptive cruise control (ACC) with a constant-distance policytogether with additional vehicle-to-vehicle (V2V) communicationfor emergency braking. We provide explicit formulas describinghow the minimum safe inter-vehicle distance (IVD), for avoidingrear-end collision, can be shorte

Consensus problems for complex networked systems composed of interconnected interacting agents have received considerable attention in recent years partly due to the ever-increasing number of applications in various areas, such as swarm dynamics, smart grids, sensor networks, intelligent transportation systems, unmanned aerial vehicles, telerobotics, and the military. The design of consensus proto

The ongoing war in Ukraine is associated with unprecedented radiological threats to the public in Ukraine and the neighboring countries. This calls for fundamental revision of the preparedness plans and established approaches to radiological monitoring of the populations affected by potential radiological emergencies. Dosimetric information will be needed for triage of victims and support to decis

Males that behave violently to achieve social and reproductive objectives are a widespread phenomenon among mammals, as well as humans. Because this kind of behaviour can be socially very disruptive, its continued survival in human populations, in particular, remains a puzzle. We use historical data on the pedigrees of medieval Icelandic Vikings to test the hypothesis that males who killed had hig

In this study, high pressure synchrotron powder X-ray diffraction is used to investigate the compression of two high pressure polymorphs of CrSb2. The first is the CuAl2-type polymorph with an eight-fold coordinated Cr, which can be quenched to ambient conditions from high-pressure high-temperature conditions. The second is the recently discovered MoP2-type polymorph, which is induced by compressi

Quinones are organic molecules that facilitate electron-transfer reactions in terrestrial environments. The reduced forms, hydroquinones, are powerful reductants that can trigger non-enzymatic radical-based decomposition of organic matter and contaminants by simultaneous reduction of iron and oxygen. Iron oxides often occur as coatings on other minerals, thus our study investigated the reactions b

This paper addresses the problem of consensus on SO(3) for networks of uncalibrated cameras. Under the assumption of a pinhole camera model, we prove convergence to the consensus manifold for two types of kinematic control laws, when only conjugate rotation matrices KRK -1 are available among the agents. In these conjugate rotations, the rotation matrices are distorted by the (unknown) intrinsic p

Businesses across different areas of interest are increasingly depending on data, particularly for machine learning (ML) applications. To ensure data provisioning, inter-organizational data sharing is proposed, e.g. in the form of data ecosystems. The aim of this study was to perform an exploratory investigation into the data sharing practices that exist in business-to-business (B2B) and business-

Recent self-reported and cross-sectional survey evidence documents high levels of mental health problems among PhD students. We study the impact of PhD studies on mental health care uptake using Swedish administrative records of prescriptions for psychiatric medication for the full population of PhD students. First, we provide descriptive evidence that PhD students collect psychiatric medication a

Understanding how momentum anisotropies arise in small collision systems is important for a quantitative understanding of collectivity in terms of QCD dynamics in small and large collision systems. In this letter we present results for small collision systems from the newly developed parton cascade ALPACA, which faithfully encodes the AMY effective kinetic theory. ALPACA reproduces quantitatively

Economic research on gender gaps in preferences and economic outcomes has focused on variation with respect to sex—a binary classification as either a “man”or “woman.” We validate a novel and simple measure of self-reported continuousgender identity (CGI) and explore whether gender identity correlates with variationin economic decisions and outcomes beyond the relationship with binary sex.We use f

Identifying key molecular pathways and genes involved in the response to urban pollutants is an important step in furthering our understanding of the impact of urbanisation on wildlife. The expansion of urban habitats and the associated human-introduced environmental changes are considered a global threat to the health and persistence of humans and wildlife. The present study experimentally invest

Objectives: To examine the risk of fractures in a cohort of patients with newly diagnosed rheumatoid arthritis (RA), compared to the background population, and predictors of fractures detectable early in RA. Methods: An inception cohort of patients with RA (N = 233; 164 women/69 men, recruited 1995–2005) was evaluated according to a structured program, including repeated clinical assessments and m

This paper is a study of the implementations of two new working methods, systems construction and incentive contracts, in Swedish State building construction around 1970 with an analysis of the implication of such implementations on the organization of the building industry. Specifically, the study is focusing on the role of the architect in the building process of the National Board of Public Bui

Significant progress has been made in elucidating genetic risk factors influencing Type 1 diabetes (T1D); however, features other than genetic variants that initiate and/or accelerate islet autoimmunity that lead to the development of clinical T1D remain largely unknown. We hypothesized that genetic and environmental risk factors can both contribute to T1D through dynamic alterations of molecular