Event-triggered control cannot improve the ℓ2\ell_2 gain of h∞h_\infty optimal periodic control and transmit at a smaller average rate

We consider a standard discrete-time event-triggered control setting by which a scheduler collocated with the plant's sensors decides when to transmit sensor data to a remote controller collocated with the plant's actuators. When the scheduler transmits periodically with period larger than or equal to one, the $h_\infty$ optimal controller guarantees an optimal attenuation bound ($\ell_2$ gain) from any square-summable disturbance input to a plant's output. We show that, under mild assumptions, there does not exist a controller and scheduler pair that strictly improves the optimal attenuation bound of periodic control with a smaller average transmission rate. Equivalently, given any controller and scheduler pair, there exists a square-summable disturbance such that either the attenuation bound or the average transmission rate are larger than or equal to those of optimal periodic control

Optimal sampling schedules for h2h_2 and h∞h_\infty state-feedback control

We consider a discrete-time linear system for which the control input is updated at every sampling time, but the state is measured at a slower rate. We allow the state to be sampled according to a periodic schedule, which dictates when the state should be sampled along a period. Given a desired average sampling interval, our goal is to determine sampling schedules that are optimal in the sense that they minimize the $h_2$ or the $h_\infty$ closed-loop norm, under an optimal state-feedback control law. Our results show that, when the desired average sampling interval is an integer, the optimal state sampling turns out to be evenly spaced. This result indicates that, for the $h_2$ and $h_\infty$ performance metrics, there is relatively little benefit to go beyond constant-period sampling

Estimation over Communication Networks: Performance Bounds and Achievability Results

This paper considers the problem of estimation over communication networks. Suppose a sensor is taking measurements of a dynamic process. However the process needs to be estimated at a remote location connected to the sensor through a network of communication links that drop packets stochastically. We provide a framework for computing the optimal performance in the sense of expected error covariance. Using this framework we characterize the dependency of the performance on the topology of the network and the packet dropping process. For independent and memoryless packet dropping processes we find the steady-state error for some classes of networks and obtain lower and upper bounds for the performance of a general network. Finally we find a necessary and sufficient condition for the stability of the estimate error covariance for general networks with spatially correlated and Markov type dropping process. This interesting condition has a max-cut interpretation

Group Chase and Escape

We describe here a new concept of one group chasing another, called "group chase and escape", by presenting a simple model. We will show that even a simple model can demonstrate rather rich and complex behavior. In particular, there are cases in which an optimal number of chasers exists for a given number of escapees (or targets) to minimize the cost of catching all targets. We have also found an indication of self-organized spatial structures formed by both groups.Comment: 13 pages, 12 figures, accepted and to appear in New Journal of Physic

A despistagem do VIH/sida: saúde pública e motivações dos utentes do teste rápido no Nordeste de Portugal

The article examines the adherence of citizens to the quick test for HIV in the Counseling and Early Detection of HIV/AIDS Center (CAD), in the city of Bragança (Northeast Portugal). Specifically, it seeks to examine the role of a fast diagnosis in the fight against AIDS within the Portuguese public health system, to understand the circumstances underlying the demand for the service and to interpret the perceptions and practices of CAD users. In terms of methodology, it was a case study based on ethnographic inquiry, linking direct observation, informal conversations and interviews, which was associated with extensive documental and statistic research. The results obtained allow us to state that the quick test gave a very positive contribution to the fight against HIV/AIDS infection, facilitating citizen access to knowledge of their serological status almost instantly and improving their follow-up by health technicians. The so-called “dissipation of uncertainty”, following sexual risk behavior, is the main reason that leads users to perform a quick test.O artigo analisa a adesão dos cidadãos ao teste rápido de despistagem do VIH no Centro de Aconselhamento e Deteção Precoce do VIH/sida (CAD) da cidade de Bragança (Nordeste de Portugal). Em concreto, procura-se examinar o papel do diagnóstico rápido na luta contra a infeção pelo VIH/sida no quadro do sistema público de saúde português, compreender as circunstâncias subjacentes à procura do serviço e interpretar as percepções e práticas dos utentes do CAD objecto desta pesquisa. Em termos metodológicos, tratou-se de um estudo de caso assente em inquirição etnográfica, articulando observação direta, diálogos informais e entrevistas, a que se associou uma extensa pesquisa documental e estatística. Os resultados apurados permitem afirmar que o teste rápido proporcionou um contributo muito positivo para a luta contra a infeção pelo VIH/sida, facilitando o acesso dos cidadãos ao conhecimento praticamente imediato do seu estado serológico e melhorando o seguimento destes por parte dos técnicos de saúde. A chamada “dissipação da incerteza”, na sequência de uma situação de risco, é o principal motivo que leva os utentes a realizar o teste rápido

Cartografia e diplomacia: usos geopolíticos da informação toponímica (1750-1850)

O artigo explora dimensões geopolíticas da toponímia, registradas em documentos cartográficos, desde as reformas empreendidas pelo consulado pombalino em meados do século XVIII, até às primeiras décadas do século XIX, em meio ao processo de afirmação do Estado imperial pós-colonial.This paper explores the geopolitical dimensions of toponymy as registered in cartographic documents dating from the reforms pushed through by the consulate of Marquis of Pombal in the mid 18th century to the early decades of the 19th century, as the post-colonial imperial State established itself

Intrinsic Noise Analyzer: A Software Package for the Exploration of Stochastic Biochemical Kinetics Using the System Size Expansion

The accepted stochastic descriptions of biochemical dynamics under well-mixed conditions are given by the Chemical Master Equation and the Stochastic Simulation Algorithm, which are equivalent. The latter is a Monte-Carlo method, which, despite enjoying broad availability in a large number of existing software packages, is computationally expensive due to the huge amounts of ensemble averaging required for obtaining accurate statistical information. The former is a set of coupled differential-difference equations for the probability of the system being in any one of the possible mesoscopic states; these equations are typically computationally intractable because of the inherently large state space. Here we introduce the software package intrinsic Noise Analyzer (iNA), which allows for systematic analysis of stochastic biochemical kinetics by means of van Kampen’s system size expansion of the Chemical Master Equation. iNA is platform independent and supports the popular SBML format natively. The present implementation is the first to adopt a complementary approach that combines state-of-the-art analysis tools using the computer algebra system Ginac with traditional methods of stochastic simulation. iNA integrates two approximation methods based on the system size expansion, the Linear Noise Approximation and effective mesoscopic rate equations, which to-date have not been available to non-expert users, into an easy-to-use graphical user interface. In particular, the present methods allow for quick approximate analysis of time-dependent mean concentrations, variances, covariances and correlations coefficients, which typically outperforms stochastic simulations. These analytical tools are complemented by automated multi-core stochastic simulations with direct statistical evaluation and visualization. We showcase iNA’s performance by using it to explore the stochastic properties of cooperative and non-cooperative enzyme kinetics and a gene network associated with circadian rhythms. The software iNA is freely available as executable binaries for Linux, MacOSX and Microsoft Windows, as well as the full source code under an open source license