Optimal Control Applications & Methods最新文献

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Identification Problem 识别问题

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods

Pub Date : 2021-01-01 DOI: 10.1007/978-3-030-91029-7_8

L. T. Ashchepkov, Dmitriy V. Dolgy, Taekyun Kim, R. Agarwal

引用次数: 0

Types of Optimal Control Problems 最优控制问题的类型

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods

Pub Date : 2021-01-01 DOI: 10.1007/978-3-319-49781-5_9

L. T. Ashchepkov, Dmitriy V. Dolgy, Taekyun Kim, R. Agarwal

引用次数: 0

Synthesis of the Optimal System Performance 最优系统性能的综合

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods

Pub Date : 2021-01-01 DOI: 10.1007/978-3-319-49781-5_6

L. T. Ashchepkov, Dmitriy V. Dolgy, Taekyun Kim, R. Agarwal

引用次数: 0

Reachability Set 可达性组

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods

Pub Date : 2021-01-01 DOI: 10.1007/978-3-030-91029-7_3

L. T. Ashchepkov, Dmitriy V. Dolgy, Taekyun Kim, R. Agarwal

引用次数: 0

Optimal control and differential game solutions for social distancing in response to epidemics of infectious diseases on networks. 网络传染病流行时社交距离的最优控制与微分博弈解。

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods

Pub Date : 2020-11-01 Epub Date: 2020-08-02 DOI: 10.1002/oca.2650

Mohammadali Dashtbali, Alaeddin Malek, Mehdi Mirzaie

In this paper, the problem of social distancing in the spread of infectious diseases in the human network is extended by optimal control and differential game approaches. Hear, SEAIR model on simulation network is used. Total costs for both approaches are formulated as objective functions. SEAIR dynamics for group k that contacts with k individuals including susceptible, exposed, asymptomatically infected, symptomatically infected and improved or safe individuals is modeled. A novel random model including the concept of social distancing and relative risk of infection using Markov process is proposed. For each group, an aggregate investment is derived and computed using adjoint equations and maximum principle. Results show that for each group, investments in the differential game are less than investments in an optimal control approach. Although individuals' participation in investment for social distancing causes to reduce the epidemic cost, the epidemic cost according to the second approach is too much less than the first approach.

本文利用最优控制和微分对策方法，对传染病在人际网络中传播时的社会距离问题进行了扩展。因此，在仿真网络上采用了SEAIR模型。这两种方法的总成本被表述为目标函数。模拟与k个个体接触的k组(包括易感、暴露、无症状感染、有症状感染和改善或安全个体)的SEAIR动态。利用马尔可夫过程提出了一种包含社会距离和相对感染风险的随机模型。对于每一组，利用伴随方程和极大值原理推导和计算总投资。结果表明，对于每一组，差分对策的投资小于最优控制方法的投资。虽然个体参与保持社会距离的投资导致疫情成本降低，但第二种方法得出的疫情成本远远小于第一种方法。

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引用次数: 7

Analysis of COVID‐19 and comorbidity co‐infection model with optimal control 最优控制下的COVID - 19及共病共感染模型分析

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods

Pub Date : 2020-08-04 DOI: 10.1101/2020.08.04.20168013

A. Omame, N. Sene, I. Nometa, C. I. Nwakanma, Emmanuel U Nwafor, N. O. Iheonu, D. Okuonghae

In this work, we develop and analyze a mathematical model for the dynamics of COVID‐19 with re‐infection in order to assess the impact of prior comorbidity (specifically, diabetes mellitus) on COVID‐19 complications. The model is simulated using data relevant to the dynamics of the diseases in Lagos, Nigeria, making predictions for the attainment of peak periods in the presence or absence of comorbidity. The model is shown to undergo the phenomenon of backward bifurcation caused by the parameter accounting for increased susceptibility to COVID‐19 infection by comorbid susceptibles as well as the rate of reinfection by those who have recovered from a previous COVID‐19 infection. Simulations of the cumulative number of active cases (including those with comorbidity), at different reinfection rates, show infection peaks reducing with decreasing reinfection of those who have recovered from a previous COVID‐19 infection. In addition, optimal control and cost‐effectiveness analysis of the model reveal that the strategy that prevents COVID‐19 infection by comorbid susceptibles is the most cost‐effective of all the control strategies for the prevention of COVID‐19.

在这项工作中，我们开发并分析了一个新冠肺炎与再感染动力学的数学模型，以评估既往共病（特别是糖尿病）对新冠肺炎并发症的影响。该模型使用与尼日利亚拉各斯疾病动态相关的数据进行模拟，预测在存在或不存在共病的情况下达到高峰期。该模型被证明经历了后向分叉现象，这是由参数引起的，该参数解释了共病易感人群对新冠病毒-19感染的易感性增加，以及从先前的新冠病毒感染中康复的人再次感染的比率。在不同的再感染率下，对活动病例（包括合并症患者）累计数量的模拟显示，感染高峰随着先前新冠肺炎感染康复者再感染的减少而减少。此外，该模型的最优控制和成本效益分析表明，预防共病易感人群感染新冠肺炎的策略是预防新冠肺炎所有控制策略中成本效益最高的。

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引用次数: 43

Towards a Field-Portable Real-Time Organic and Elemental Carbon Monitor. 开发现场便携式实时有机碳和元素碳监测仪

IF 1.5 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods

Pub Date : 2019-08-01 Epub Date: 2019-04-22 DOI: 10.1007/s42461-019-0064-8

D A Parks, K V Raj, C A Berry, A T Weakley, P R Griffiths, A L Miller

Diesel particulate matter (DPM) has been classified as a carcinogen to humans by the International Agency for Research on Cancer. As a result of its potential carcinogenic nature, DPM exposure is regulated by the Mine Safety and Health Administration. Currently, diesel emissions in the workplace are monitored by collecting the aerosol onto filters, which are then sent to a laboratory for thermal-optical analysis using the NIOSH method 5040. This process can take days or even weeks, and workers can potentially be exposed to excessive levels of DPM before the problem is identified. Moreover, the delay involved in getting the loaded filter to the lab inevitably means the loss of some of the more volatile organic carbon. To remedy this delay, researchers from the National Institute for Occupational Safety and Health are seeking to develop a field-portable, real-time method for measuring elemental and organic carbons in DPM aerosols. In the current study, the use of mid-infrared spectrometry was investigated. It is believed that mid-infrared spectroscopy is more suitable for use in a real-time field-portable device than thermo-optical analysis methods. This article presents a method for measuring organic carbon (OC) and elemental carbon (EC) in DPM for a broad range of OC/EC ratios. The method has been successfully applied to laboratory-generated and mine samples.

柴油微粒物质 (DPM) 已被国际癌症研究机构列为人类致癌物质。由于其潜在的致癌性，DPM 暴露受到矿山安全与健康管理局的监管。目前，监测工作场所柴油排放的方法是将气溶胶收集到过滤器上，然后送往实验室使用 NIOSH 方法 5040 进行热光学分析。这一过程可能需要数天甚至数周的时间，工人有可能在发现问题之前就已经暴露在超标的 DPM 中。此外，将装载好的过滤器送到实验室所涉及的延迟不可避免地意味着会损失一些挥发性较强的有机碳。为了弥补这一延误，美国国家职业安全与健康研究所的研究人员正在寻求开发一种现场便携式实时方法，用于测量 DPM 气溶胶中的元素碳和有机碳。在当前的研究中，研究人员对中红外光谱仪的使用进行了调查。据信，与热光学分析方法相比，中红外光谱仪更适合用于实时现场便携式设备。本文介绍了一种测量 DPM 中有机碳 (OC) 和元素碳 (EC) 的方法，适用于各种 OC/EC 比率。该方法已成功应用于实验室生成的样本和矿山样本。

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引用次数: 0

A priori and a posteriori error estimates of finite‐element approximations for elliptic optimal control problem with measure data 具有测量数据的椭圆型最优控制问题有限元逼近的先验和后验误差估计

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods

Pub Date : 2018-11-19 DOI: 10.1002/oca.2476

Pratibha Shakya, R. K. Sinha

We analyze both a priori and a posteriori error analysis of finite‐element method for elliptic optimal control problems with measure data in a bounded convex domain in Rd (d = 2or3). The solution of the state equation of such type of problems exhibits low regularity due to the presence of measure data, which introduces some difficulties for both theory and numerics of the finite‐element method. We first prove the existence, uniqueness, and regularity of the solution to the optimal control problem. To discretize the control problem, we use continuous piecewise linear elements for the approximations of the state and co‐state variables, whereas piecewise constant functions are used for the control variable. We derive a priori error estimates of order O(h2−d2) for the state, co‐state, and control variables in the L2‐norm. Further, global a posteriori upper bounds for the state, co‐state, and control variables in the L2‐norm are established. Moreover, local lower bounds for the errors in the state and co‐state variables and a global lower bound for the error in the control variable are obtained in the case of two space dimensions (d = 2). Numerical experiments are provided, which support our theoretical results.

本文对有界凸域上具有测量数据的椭圆型最优控制问题的有限元方法进行了先验和后验误差分析。由于测量数据的存在，这类问题的状态方程的解具有较低的规律性，这给有限元法的理论和数值计算带来了一定的困难。首先证明了最优控制问题解的存在性、唯一性和正则性。为了使控制问题离散化，我们使用连续分段线性元素来逼近状态变量和协状态变量，而使用分段常数函数来逼近控制变量。我们为L2 -范数中的状态、共状态和控制变量导出了O(h2−d2)阶的先验误差估计。进一步，建立了L2范数中状态、共状态和控制变量的全局后验上界。此外，在两个空间维度(d = 2)的情况下，得到了状态变量和协状态变量误差的局部下界和控制变量误差的全局下界。数值实验结果支持了理论结果。

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引用次数: 3

Linear Weakly Coupled Control Systems 线性弱耦合控制系统

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods

Pub Date : 2018-10-03 DOI: 10.1201/b15929-2

Z. Gajic, M. Lim, D. Skataric, W. Su, V. Kecman

引用次数: 0

Optimal Control of Bilinear Weakly Coupled Systems 双线性弱耦合系统的最优控制

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods

Pub Date : 2018-10-03 DOI: 10.1201/b15929-15

Z. Gajic, M. Lim, D. Skataric, W. Su, V. Kecman

引用次数: 0

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