Networked H∞ filtering for Takagi–Sugeno fuzzy systems under multi-output multi-rate sampling

This paper studies networked H_∞ filtering for Takagi–Sugeno fuzzy systems with multi-output multi-sensor asynchronous sampling. Different output variables in a dynamic system are sampled by multiple sensors with different sampling rates. To estimate the signals of such a system, a continuous multi-rate sampled-data fusion method is proposed to design a novel networked filter. By considering a class of decentralized event-triggered transmission schemes, multi-channel network-induced delays, and the updating modes of the MOMR sampled-data, a networked jumping fuzzy filter is proposed to estimate system signals based on the transmitted multi-rate sampled-data of fuzzy system and the multi-rate sampled states of filter, and the jumping among filter modes is governed by a Markov process which depends on the arrival times of sampled output sub-vectors. To deal with asynchronous membership functions, the networked fuzzy filtering system is modeled as an uncertain fuzzy stochastic system with membership function deviation bounds. Based on stability and H_∞ performance analysis, several membership-function-dependent conditions are presented to co-design the event-triggered transmission schemes and the fuzzy filter such that the filtering error system is robustly mean-square exponentially stable with a prescribed H_∞ attenuation level. Finally, the improvement in estimation performance and comparison with the existing filtering methods are discussed through simulation examples.     

The impact of workplace information literacy on organizational innovation: An empirical study

The present study investigates the relationship between CEO’s information literacy and innovation in small and medium-sized enterprises (SMEs). Even if information literacy’s business value has been recognized in recent literature, its impact on organizational innovation, a critical and strongly information intensive process, has never been studied before. Structural equation modeling based analysis of data collected from 184 company CEOs in Finland revealed that CEOs’ information literacy has a positive impact on the development of exploratory and exploitative innovations in SMEs. Additionally, opportunity recognition mediates the relationship between information literacy and innovation. Overall, the influence of information literacy is slightly stronger on exploitation than exploration. Nevertheless, the mutual positive effect suggests that information literacy enhances innovation ambidexterity in organizations. Based on these findings, we discuss theoretical and practical implications as well as future research opportunities in workplace information literacy research.     

Understanding the relative contribution of technical and tactical performance to match outcome in Australian Football

ABSTRACT

The aim of this study was to assess if tactical and technical performance indicators (PIs) could be used in combination to model match outcomes in Australian Football (AF). A database of 101 technical PIs and 14 tactical PIs from every match in the 2009–2016 Australian Football League (AFL) seasons was merged. Two outcome measures Win-loss and Score margin were used as dependent variables. The top 45 ranked technical and tactical PIs from a feature selection process were used to model match outcome using decision tree and Generalised Linear Models (GLMs). Of the top 45 selected features, this included seven tactical PIs. The Win-loss-based Decision tree model achieved a classification accuracy of 89.0% and GLM 93.2%. A Score margin-based GLM achieved a root mean squared error (RMSE) of 6.9 points. A combined approach to the classification of match outcomes provided no improvement in model accuracy compared with previous literature. However, this study has established the relative importance of technical and tactical measures of performance in relation to successful team performance in AF.     

Lucas多项式的性质

本文在研究Fibonacci多项项若干性质的基础上，给出了Lucas多项式Ln（x）的定义及其有关性质。     

Secondary School Students’ Construction and Use of Mathematical Models in Solving Word Problems

This study focussed on how secondary school students construct and use mathematical models as conceptual tools when solving word problems. The participants were 511 secondary-school students who were in the final year of compulsory education (15–16 years old). Four levels of the development of constructing and using mathematical models were identified using a constant-comparative methodology to analyse the student’s problem-solving processes. Identifying the general in the particular and using the particular to endow the general with meaning were the key elements employed by students in the processes of construction and use of models in the different situations. In addition, attention was paid to the difficulties that students had in using their mathematical knowledge to solve these situations. Finally, implications are provided for drawing upon student’s use of mathematical models as conceptual tools to support the development of mathematical competence from socio-cultural perspectives of learning.     

试论数学在现代经济学中的作用

随着经济学的发展,用数学分析和求解问题已成为对各经济领域进行研究,从而获得最佳解决方案的必要手段,如经济指标分析、金融市场风险评估,效益的合理分配、生产成本控制等都离不开数学模型的建立与求解,数学在经济学中的运用不断扩展,已成为经济学中最重要的方法之一,是经济理论研究取得突破的重要工具。     

概率方法在解决实际问题中的应用

举例说明如何利用概率论和随机过程的相关知识建立目标函数,求出最优值来解决实际问题。     

用C语言求解算式复原问题

算式复原问题是指把一个算式中的全部数字或者部分数字用字母或符号代替,然后通过逻辑推理加以复原。本文从传统的数学逻辑推理出发,研究分析出解题方法．利用C语言编程求解,提出一种更高效的解决方法。     

教师教学质量评价的数学模型

以学校督导评价、学生评价、系直属部门评价为教师教学质量评价的依据,采用层次分析法建立数学模型,为正确评价教师的教学质量提供了一定的理论依据。     

竞渡模型研究及应用

利用数学模型的基本理论和方法,对竞渡问题进行建模和分析,确定了两种情况下游泳者所选择的方向和路线,并对竞渡模型进行了推广和应用。