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Output Reachable Set Analysis for Periodic Positive Systems 周期正系统的输出可达集分析
IF 1.2 Q1 MATHEMATICS Pub Date : 2021-11-15 DOI: 10.1155/2021/8345694
Ilyas Sitli, F. Lahmidi, A. Namir, M. Naim
In this study, we use the union of the bounding hyperpyramids to estimate the output reachable set for periodic positive systems under two classes of exogenous disturbances. Optimization algorithms are used to obtain the smallest bounding hyperpyramids possible. Finally, numerical examples are given to verify the theoretical results.
在本研究中,我们使用边界超金字塔的并集来估计两类外源扰动下周期正系统的输出可达集。优化算法用于获得尽可能小的边界超金字塔。最后通过数值算例对理论结果进行了验证。
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引用次数: 0
The Stability of the Model and Simulation, Control Issues for Ship System, Education, and Research 模型稳定性与仿真,船舶系统控制问题,教育与研究
IF 1.2 Q1 MATHEMATICS Pub Date : 2021-09-21 DOI: 10.1155/2021/4492480
N. Danh
This article deals with the study of mathematical models and the assessment of the stability of the motion of ships, investigating properties of the system such as kinetics and stability. This is essential for the selection of suitable control methods according to the requirements set out for the problem. Some control methods require the author to specify control parameters before the operation of the system can be started. Therefore, the survey of the article is useful for the above problem. Control methods through simulation results (PID controller, lag compensator, and lead compensator) give me results that reflect properties of the system (the stability of the operation cycle of the ship model). In addition, control methods for this model, which serve for research and education, are also presented below. Simulation is done by Matlab.
本文研究了船舶运动的数学模型和稳定性评估,研究了系统的动力学和稳定性等特性。这对于根据问题的要求选择合适的控制方法是至关重要的。有些控制方法要求作者在系统开始运行之前指定控制参数。因此,本文的调查对解决上述问题是有益的。控制方法通过仿真结果(PID控制器、滞后补偿器、超前补偿器)得到的结果反映了系统的特性(船模运行周期的稳定性)。此外,本文还介绍了该模型的控制方法,以供研究和教学使用。仿真由Matlab完成。
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引用次数: 1
A New Class of Contact Pseudo Framed Manifolds with Applications 一类新的接触伪框架流形及其应用
IF 1.2 Q1 MATHEMATICS Pub Date : 2021-08-26 DOI: 10.1155/2021/6141587
K. L. Duggal
<jats:p>In this paper, we introduce a new class of contact pseudo framed (CPF)-manifolds <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mfenced open="(" close=")" separators="|"> <mrow> <mi>M</mi> <mo>,</mo> <mi>g</mi> <mo>,</mo> <mi>f</mi> <mo>,</mo> <mi>λ</mi> <mo>,</mo> <mi>ξ</mi> </mrow> </mfenced> </math> </jats:inline-formula> by a real tensor field <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>f</mi> </math> </jats:inline-formula> of type <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M3"> <mfenced open="(" close=")" separators="|"> <mrow> <mn>1,1</mn> </mrow> </mfenced> </math> </jats:inline-formula>, a real function <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M4"> <mi>λ</mi> </math> </jats:inline-formula> such that <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M5"> <msup> <mrow> <mi>f</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> <mo>=</mo> <msup> <mrow> <mi>λ</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mi>f</mi> </math> </jats:inline-formula> where <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M6"> <mi>ξ</mi> </math> </jats:inline-formula> is its characteristic vector field. We prove in our main Theorem 2 that <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M7"> <mi>M</mi> </math> </jats:inline-formula> admits a closed 2-form <jats:inline-formula>
本文引入了一类新的接触伪框架流形M, g, f, λ,ξ由一个实张量场f (1,1)使f3 =的实函数2f,其中ξ是它的特征向量场。在主要定理2中,我们证明了如果λ是常数,M承认一个闭2型Ω。1976年,Blair证明了法向接触流形的向量场ξ为kill。与此相反,我们已经在定理2中证明,一般情况下,普通cpf流形的ξ是非杀伤的。我们还建立了具有曲率、仿射、共形共视对称性和几乎里奇孤子流形的cpf超曲面的链接,并得到了三个应用的支持。与奇维接触流形相反,我们构造了几个偶维、奇维半黎曼流形和类光cpf流形的例子,并提出了两个值得进一步考虑的问题。
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引用次数: 0
On the Solutions of Three-Variable Frobenius-Related Problems Using Order Reduction Approach 用阶约法求解三变量frobenius相关问题
IF 1.2 Q1 MATHEMATICS Pub Date : 2021-06-21 DOI: 10.1155/2021/6396792
T. He, P. Shiue, R. Venkat
This paper presents a new approach to determine the number of solutions of three-variable Frobenius-related problems and to find their solutions by using order reducing methods. Here, the order of a Frobenius-related problem means the number of variables appearing in the problem. We present two types of order reduction methods that can be applied to the problem of finding all nonnegative solutions of three-variable Frobenius-related problems. The first method is used to reduce the equation of order three from a three-variable Frobenius-related problem to be a system of equations with two fixed variables. The second method reduces the equation of order three into three equations of order two, for which an algorithm is designed with an interesting open problem on solutions left as a conjecture.
本文提出了一种利用降阶方法确定三变量frobenius相关问题解的个数并求其解的新方法。在这里,frobenius相关问题的顺序意味着问题中出现的变量的数量。我们提出了两种可应用于寻找三变量frobenius相关问题的所有非负解的降阶方法。第一种方法是将三变量frobenius相关问题的三阶方程简化为两个固定变量的方程组。第二种方法是将三阶方程简化为三个二阶方程,并设计了一种算法,将一个有趣的开放问题的解留作猜想。
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引用次数: 1
Pricing Multivariate European Equity Option Using Gaussians Mixture Distributions and EVT-Based Copulas 基于高斯混合分布和基于ev的copula的多元欧式股票期权定价
IF 1.2 Q1 MATHEMATICS Pub Date : 2021-05-21 DOI: 10.1155/2021/7648093
Abba Mallam Hassane, D. Barro, Wendkouni Yaméogo, S. Bisso
In this article, we present an approach which allows taking into account the effect of extreme values in the modeling of financial asset returns and in the valorisation of associated options. Specifically, the marginal distribution of asset returns is modelled by a mixture of two Gaussian distributions. Moreover, we model the joint dependence structure of the returns using a copula function, the extremal one, which is suitable for our financial data, particularly the extreme values copulas. Applications are made on the Atos and Dassault Systems actions of the CAC40 index. Monte Carlo method is used to compute the values of some equity options such as the call on maximum, the call on minimum, the digital option, and the spreads option with the basket (Atos, Dassault systems) as underlying.
在本文中,我们提出了一种方法,该方法允许在金融资产回报建模和相关期权估值中考虑极值的影响。具体来说,资产收益的边际分布由两个高斯分布的混合来建模。此外,我们使用一个最极值的copula函数来建模收益的联合依赖结构,它适用于我们的金融数据,特别是极值的copula。应用了Atos和Dassault Systems对CAC40指数的反应。蒙特卡罗方法用于计算一些股票期权的价值,如最高价看涨期权、最低价看涨期权、数字期权和以篮子(Atos、达索系统)为基础的点差期权。
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引用次数: 3
Relationship Between Measures of Cerebrovascular Reactivity and Intracranial Lesion Progression in Acute TBI Patients: an Exploratory Analysis. 急性脑外伤患者脑血管反应性指标与颅内病变进展的关系:探索性分析。
IF 3.5 Q1 MATHEMATICS Pub Date : 2020-04-01 DOI: 10.1007/s12028-019-00885-3
François Mathieu, Frederick A Zeiler, Daniel P Whitehouse, Tilak Das, Ari Ercole, Peter Smielewski, Peter J Hutchinson, Marek Czosnyka, Virginia F J Newcombe, David K Menon

Background: Failure of cerebral autoregulation and progression of intracranial lesion have both been shown to contribute to poor outcome in patients with acute traumatic brain injury (TBI), but the interplay between the two phenomena has not been investigated. Preliminary evidence leads us to hypothesize that brain tissue adjacent to primary injury foci may be more vulnerable to large fluctuations in blood flow in the absence of intact autoregulatory mechanisms. The goal of this study was therefore to assess the influence of cerebrovascular reactivity measures on radiological lesion expansion in a cohort of patients with acute TBI.

Methods: We conducted a retrospective cohort analysis on 50 TBI patients who had undergone high-frequency multimodal intracranial monitoring and for which at least two brain computed tomography (CT) scans had been performed in the acute phase of injury. We first performed univariate analyses on the full cohort to identify non-neurophysiological factors (i.e., initial lesion volume, timing of scan, coagulopathy) associated with traumatic lesion growth in this population. In a subset analysis of 23 patients who had intracranial recording data covering the period between the initial and repeat CT scan, we then correlated changes in serial volumetric lesion measurements with cerebrovascular reactivity metrics derived from the pressure reactivity index (PRx), pulse amplitude index (PAx), and RAC (correlation coefficient between the pulse amplitude of intracranial pressure and cerebral perfusion pressure). Using multivariate methods, these results were subsequently adjusted for the non-neurophysiological confounders identified in the univariate analyses.

Results: We observed significant positive linear associations between the degree of cerebrovascular reactivity impairment and progression of pericontusional edema. The strongest correlations were observed between edema progression and the following indices of cerebrovascular reactivity between sequential scans: % time PRx > 0.25 (r = 0.69, p = 0.002) and % time PAx > 0.25 (r = 0.64, p = 0.006). These associations remained significant after adjusting for initial lesion volume and mean cerebral perfusion pressure. In contrast, progression of the hemorrhagic core and extra-axial hemorrhage volume did not appear to be strongly influenced by autoregulatory status.

Conclusions: Our preliminary findings suggest a possible link between autoregulatory failure and traumatic edema progression, which warrants re-evaluation in larger-scale prospective studies.

背景:脑自动调节功能的失败和颅内病变的进展都被证明是导致急性创伤性脑损伤(TBI)患者预后不良的原因,但这两种现象之间的相互作用尚未被研究。初步证据使我们假设,在缺乏完整的自我调节机制的情况下,原发性损伤灶附近的脑组织可能更容易受到血流大波动的影响。因此,本研究的目的是评估脑血管反应性测量对急性TBI患者放射学病变扩展的影响。方法:我们对50例TBI患者进行了回顾性队列分析,这些患者接受了高频多模态颅内监测,并且在损伤急性期至少进行了两次脑计算机断层扫描(CT)扫描。我们首先对整个队列进行了单变量分析,以确定与该人群中创伤性病变增长相关的非神经生理因素(即初始病变体积、扫描时间、凝血功能障碍)。在对23例患者的亚组分析中,这些患者的颅内记录数据涵盖了首次和重复CT扫描之间的时间,然后我们将连续体积病变测量的变化与脑血管反应性指标相关,这些指标来自压力反应性指数(PRx)、脉冲幅度指数(PAx)和RAC(颅压脉冲幅度与脑灌注压之间的相关系数)。使用多变量方法,这些结果随后针对单变量分析中确定的非神经生理混杂因素进行了调整。结果:我们观察到脑血管反应性损伤程度与脑膜周围水肿进展之间存在显著的线性正相关。在连续扫描期间,水肿进展与以下脑血管反应性指标之间的相关性最强:% time PRx > 0.25 (r = 0.69, p = 0.002)和% time PAx > 0.25 (r = 0.64, p = 0.006)。在调整初始病变体积和平均脑灌注压后,这些关联仍然显著。相反,出血核心的进展和轴外出血量似乎不受自身调节状态的强烈影响。结论:我们的初步研究结果表明,自我调节功能衰竭与创伤性水肿进展之间可能存在联系,这需要在更大规模的前瞻性研究中重新评估。
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引用次数: 21
Corrigendum to “δ-Primary Hyperideals on Commutative Hyperrings” “可交换超环上的δ-原超环”的勘误表
IF 1.2 Q1 MATHEMATICS Pub Date : 2018-09-02 DOI: 10.1155/2018/8364856
Elif Özel Ay
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引用次数: 0
Metric Induced Morphological Operators on Intuitionistic Fuzzy Hypergraphs 直觉模糊超图上的度量诱导形态算子
IF 1.2 Q1 MATHEMATICS Pub Date : 2018-07-04 DOI: 10.1155/2018/6045358
P. Dhanya, A. Sreekumar, M. Jathavedan, P. B. Ramkumar
A hypergraph consisting of hyperedges and nodes can be made intuitionistic fuzzy hypergraph (IFHG) by assigning membership and nonmembership degrees for both nodes and edges. Just as a hypergraph, an IFHG is also having hyperedges consisting of many nodes. Many flavours of a given IFHG can be created by applying morphological operators like dilation, erosion, adjunction, etc. The focus of this paper is to define morphological adjunction, opening, closing, and Alternative Sequential Filter (ASF) on IFHG. The system modeled in this way finds application in text processing, image processing, network analysis, and many other areas.
由超边和节点组成的超图可以通过赋予节点和边的隶属度和非隶属度来构成直觉模糊超图(IFHG)。就像超图一样,IFHG也有由许多节点组成的超边。通过应用形态操作符,如膨胀、侵蚀、附加等,可以创建给定IFHG的许多风味。本文的重点是在IFHG上定义形态连接、打开、关闭和可选顺序滤波器(ASF)。以这种方式建模的系统在文本处理、图像处理、网络分析和许多其他领域都有应用。
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引用次数: 0
Depression in the Family of Patients With Dementia in Korea. 韩国痴呆症患者家属中的抑郁症患者。
Q1 MATHEMATICS Pub Date : 2016-09-01 Epub Date: 2016-02-16 DOI: 10.1177/1533317515628048
Sung-In Jang, Hong-Chul Bae, Jaeyong Shin, Suk-Yong Jang, Seri Hong, Kyu-Tae Han, Eun-Cheol Park

Introduction: Dementia is the leading cause of disability worldwide in the elderly individuals. Although prior studies have examined psychiatric symptoms in dementia caregivers, few studies have examined physician-diagnosed depression in the family caregiver of a patient with dementia.

Methods: We used data from 457 864 respondents from the Korea Community Health Survey. We used logistic regression to examine the relationship between physician-diagnosed depression and cohabitation with a patient with dementia.

Results: Cohabitation with a patient with dementia (1.2% of the Korean population) was significantly associated with physician-diagnosed depression. The significance remained in females when the data were stratified by sex. A significant association also occurred among males with low family income.

Conclusion: To reduce the burden of dementia, we need a management policy that includes the caregiver as well as the patient with dementia. In particular, political management for the vulnerable population, male caregiver in low-income family and female caregiver in high-income family, should be prepared.

引言痴呆症是导致全球老年人残疾的主要原因。尽管之前的研究已对痴呆症照护者的精神症状进行了调查,但很少有研究对痴呆症患者家庭照护者被医生诊断为抑郁症进行调查:我们使用了韩国社区健康调查中 457 864 名受访者的数据。我们使用逻辑回归法研究了医生诊断的抑郁症与痴呆症患者同居之间的关系:结果:与痴呆症患者(占韩国人口的 1.2%)同居与医生诊断出的抑郁症有显著相关性。按性别对数据进行分层后,女性的显著性依然存在。家庭收入较低的男性也与抑郁症有明显关联:为了减轻痴呆症的负担,我们需要一项既包括痴呆症患者,也包括照顾者的管理政策。结论:为了减轻痴呆症患者的负担,我们需要制定包括痴呆症患者和护理者在内的管理政策,特别是要为弱势群体,即低收入家庭中的男性护理者和高收入家庭中的女性护理者制定政治管理政策。
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引用次数: 0
The additive approximation on a four-variate Jensen-type operator equation 四变量jensen型算子方程的加性近似
IF 1.2 Q1 MATHEMATICS Pub Date : 2016-04-11 DOI: 10.1155/S0161171203210486
Jian Wang
We study the Hyers-Ulam stability theory of a four-variate Jensen-type functional equation by considering the approximate remainder ϕ and obtain the corresponding error formulas. We bring to light the close relation between the β-homogeneity of the norm on F∗-spaces and the approximate remainder ϕ, where we allow p,q,r, and s to be different in their Hyers-Ulam-Rassias stability.
考虑近似余数φ,研究了一类四变量jensen型泛函方程的Hyers-Ulam稳定性理论,得到了相应的误差公式。我们揭示了F * -空间上范数的β-齐次性与近似余数φ之间的密切关系,其中我们允许p,q,r和s在它们的Hyers-Ulam-Rassias稳定性中是不同的。
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引用次数: 4
期刊
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
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