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An experimental comparison of mathematical heavy-duty city bus models to evaluate passenger ride comfort induced by road roughness 道路不平度对重型城市客车乘坐舒适性影响的数学模型的实验比较
IF 1.9 4区 数学
Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2021-01-02 DOI: 10.1080/13873954.2021.1887276
Teron Nguyen, Patrick Swolana, B. Lechner, Wong Y.D.
{"title":"An experimental comparison of mathematical heavy-duty city bus models to evaluate passenger ride comfort induced by road roughness","authors":"Teron Nguyen, Patrick Swolana, B. Lechner, Wong Y.D.","doi":"10.1080/13873954.2021.1887276","DOIUrl":"https://doi.org/10.1080/13873954.2021.1887276","url":null,"abstract":"ABSTRACT Mathematical models have been used widely to investigate the vehicle-passenger-infrastructure dynamical interaction; however, the responses of various heavy-duty city bus models to estimate ride comfort induced by road roughness are still unknown. In this study, the comparison of dynamical response of buses used in city transport is investigated based on multi-degrees-of-freedom (DOF) bus models developed in MATLAB/Simulink and correlated against passenger ride comfort criteria. The results showed that 9-DOF full bus model is the best option to estimate passenger ride comfort within an error of 2%, as compared to 5-DOF half and 3-DOF quarter bus models with 7% and 20% errors using one wheel-track, and 24% and 36% errors using two wheel-tracks, respectively. The error was calculated as the difference between simulated results from three bus models and the measured data. These mathematical bus models can be customized for estimating passenger ride comfort and surface roughness of dedicated bus/bus-rapid-transit lanes.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"27 1","pages":"203 - 221"},"PeriodicalIF":1.9,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2021.1887276","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46543933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Parameter extraction and modelling of the MOS transistor by an equivalent resistance 基于等效电阻的MOS晶体管参数提取与建模
IF 1.9 4区 数学
Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2021-01-02 DOI: 10.1080/13873954.2020.1857790
S. Sharroush, Y. Abdalla
{"title":"Parameter extraction and modelling of the MOS transistor by an equivalent resistance","authors":"S. Sharroush, Y. Abdalla","doi":"10.1080/13873954.2020.1857790","DOIUrl":"https://doi.org/10.1080/13873954.2020.1857790","url":null,"abstract":"ABSTRACT During the analysis of multi-transistor circuits, the need arises to evaluate the time delay or the power consumption of the circuit. Due to the complexity of the transistor model, several complicated equations arise from which a compact-form solution cannot be obtained and a suitable physical insight cannot be drawn. With this regard, two contributions are presented in this paper. The first one is a fully analytical parameter extraction approach to be applied on the MOS transistors. The second one is a quantitative method for simplifying the analysis of MOS circuits by modelling the MOS transistor by a suitable equivalent resistance adopting the time-delay or the power-consumption equivalence criteria. The parameter-extraction method is verified by using the extracted parameters in the derived expressions according to the second contribution. Compared to other representations, the agreement of the proposed model with the simulation results is very good.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"27 1","pages":"50 - 86"},"PeriodicalIF":1.9,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1857790","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44582063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Forecasting the primary energy consumption using a time delay grey model with fractional order accumulation 利用分数阶累积时滞灰色模型预测一次能源消耗
IF 1.9 4区 数学
Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2021-01-02 DOI: 10.1080/13873954.2020.1859547
L. Zeng
{"title":"Forecasting the primary energy consumption using a time delay grey model with fractional order accumulation","authors":"L. Zeng","doi":"10.1080/13873954.2020.1859547","DOIUrl":"https://doi.org/10.1080/13873954.2020.1859547","url":null,"abstract":"ABSTRACT Energy consumption prediction is a hot issue, which is of great significance to regional energy security. In the existing prediction research with small samples, the time delay characteristic of an energy consumption system in itself is often ignored. To reflect the time delay characteristic of an energy consumption system and accurately grasp its development trend, a novel nonlinear time delay grey model with fractional order accumulation is presented. The new model is utilized to forecast and analyze Guangdong’s primary energy consumption, in which the time delay parameter is ascertained by the grey correlation analysis method, and the other parameters are determined via particle swarm optimization. The results show the simulation accuracy of the new model is higher than those of the other 3 grey models, and the predicted results in the next three years can provide decision-making and theoretical reference for the relevant departments of Guangdong province.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"27 1","pages":"31 - 49"},"PeriodicalIF":1.9,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1859547","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42533757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Emotion-involved human decision-making model 情感参与的人类决策模型
IF 1.9 4区 数学
Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2021-01-02 DOI: 10.1080/13873954.2021.1986846
Kaede Iinuma, K. Kogiso
{"title":"Emotion-involved human decision-making model","authors":"Kaede Iinuma, K. Kogiso","doi":"10.1080/13873954.2021.1986846","DOIUrl":"https://doi.org/10.1080/13873954.2021.1986846","url":null,"abstract":"ABSTRACT This study proposes a computational human decision-making model that handles emotion-induced behaviour. The proposed model can determine a rational or irrational action according to a probability distribution obtained by mixing an optimal policy of a partially observable Markov decision process and an evolved probability distribution by novel dynamics of emotions. Emotion dynamics with consecutive negative observations cause emotion-induced irrational behaviours. We clarify the conditions, via two theorems, that the proposed model computes rational and irrational actions in terms of some model parameters. A numerical example based on Japanese court records is used to confirm that the proposed model imitates the human decision-making process. Moreover, we discuss the possibility of preventive measures for avoiding the murder case scenario. This study shows that if the traits of a decision maker can be modelled, the proposed model can support human interactions to avoid an emotion-driven murder case scenario.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"27 1","pages":"543 - 561"},"PeriodicalIF":1.9,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48540840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Designing optimal models of nonlinear MIMO systems based on orthogonal polynomial neural networks 基于正交多项式神经网络的非线性MIMO系统优化模型设计
IF 1.9 4区 数学
Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2021-01-02 DOI: 10.1080/13873954.2021.1909069
M. Milojković, Miroslav B. Milovanović, Saša S. Nikolić, M. Spasić, Andjela Antić
{"title":"Designing optimal models of nonlinear MIMO systems based on orthogonal polynomial neural networks","authors":"M. Milojković, Miroslav B. Milovanović, Saša S. Nikolić, M. Spasić, Andjela Antić","doi":"10.1080/13873954.2021.1909069","DOIUrl":"https://doi.org/10.1080/13873954.2021.1909069","url":null,"abstract":"ABSTRACT This paper presents a new method for modelling of dynamic systems by using specially designed orthogonal polynomial neural networks. These networks utilize the feature that the basis made of orthogonal functions can be used for approximation of arbitrary function, while their property of orthogonality enables optimal performances in the sense of both convergence time and approximation error. In this regard, generalized quasi-orthogonal polynomials, specifically tailored for the application in the modelling of complex dynamic systems with time-varying behaviour, are considered. Adaptivity of the designed model is achieved by using variable factors inside the orthogonal basis. The designed orthogonal neural network is applied in modelling of laboratory twin-rotor aero-dynamic system as a representative of nonlinear multiple input-multiple output systems. Detailed comparative analysis is performed for a different number of polynomials in expansion with the purpose of finding the optimal model in the sense of trade-off between model accuracy and complexity.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"27 1","pages":"246 - 262"},"PeriodicalIF":1.9,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2021.1909069","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43828963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Using Neural Networks for a Universal Framework for Agent-based Models 基于智能体模型的通用框架使用神经网络
IF 1.9 4区 数学
Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2021-01-02 DOI: 10.1080/13873954.2021.1889609
Georg Jäger
{"title":"Using Neural Networks for a Universal Framework for Agent-based Models","authors":"Georg Jäger","doi":"10.1080/13873954.2021.1889609","DOIUrl":"https://doi.org/10.1080/13873954.2021.1889609","url":null,"abstract":"ABSTRACT Traditional agent-based modelling is mostly rule-based. For many systems, this approach is extremely successful, since the rules are well understood. However, for a large class of systems it is difficult to find rules that adequately describe the behaviour of the agents. A simple example would be two agents playing chess: Here, it is impossible to find simple rules. To solve this problem, we introduce a framework for agent-based modelling that incorporates machine learning. In a process closely related to reinforcement learning, the agents learn rules. As a trade-off, a utility function needs to be defined, which is much simpler in most cases. We test this framework to replicate the results of the prominent Sugarscape model as a proof of principle. Furthermore, we investigate a more complicated version of the Sugarscape model, that exceeds the scope of the original framework. By expanding the framework we also find satisfying results there.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"27 1","pages":"162 - 178"},"PeriodicalIF":1.9,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2021.1889609","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48060339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Correction 修正
IF 1.9 4区 数学
Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2021-01-02 DOI: 10.1080/13873954.2021.1932572
M. Abbès, A. Farhat
{"title":"Correction","authors":"M. Abbès, A. Farhat","doi":"10.1080/13873954.2021.1932572","DOIUrl":"https://doi.org/10.1080/13873954.2021.1932572","url":null,"abstract":"(1) In Figure 6, the legend is correct but the image is not correct. The image in figure 6 should be replaced by the image of figure 11. (2) In Figure 7, the legend is correct but the image is not correct. The image in figure 7 should be replaced by the image of figure 12. (3) In Figure 8, the legend is correct but the image is not correct. The image in figure 8 should be replaced by the image of figure 6. (4) In Figure 10, the legend is correct but the image is not correct. The image in figure 10 should be replaced by the image of figure 7. (5) In Figure 11, the legend is correct but the image is not correct. The image in figure 10 should be replaced by the image of figure 8. (6) In Figure 12, the legend is correct but the image is not correct. The image in figure 10 should be replaced by the image of figure 10.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"27 1","pages":"405 - 410"},"PeriodicalIF":1.9,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2021.1932572","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44415219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modelling and control of a spherical pendulum via a non–minimal state representation 基于非最小状态表示的球摆建模与控制
IF 1.9 4区 数学
Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2021-01-02 DOI: 10.1080/13873954.2020.1853175
Ricardo Campa, Israel Soto, O. Martinez
{"title":"Modelling and control of a spherical pendulum via a non–minimal state representation","authors":"Ricardo Campa, Israel Soto, O. Martinez","doi":"10.1080/13873954.2020.1853175","DOIUrl":"https://doi.org/10.1080/13873954.2020.1853175","url":null,"abstract":"ABSTRACT A spherical pendulum is a 2 degree-of-freedom mechanism consisting on a rod whose tip moves on the surface of a sphere. It is common to use two angular coordinates to describe such a system. This paper proposes the use of a non-minimal set of coordinates for modelling and controlling a fully-actuated torque-driven spherical pendulum. These coordinates is merely for the purpose of showing the application of unit quaternions as a useful tool for dealing with the orientation of rigid bodies. First, we recall the properties of unit quaternions, and explain how they can be employed for the definition of such non-minimal pendulum coordinates. Later, the control objective for orientation regulation is established and an inverse-dynamics controller, which uses joint displacement and velocity measurements but also some non-minimal states for the orientation error, is proposed. The stability analysis shows the fulfilment of the control objective and is validated through simulations.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"27 1","pages":"3 - 30"},"PeriodicalIF":1.9,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1853175","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60014573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Port-Hamiltonian formulations of poroelastic network models 孔隙弹性网络模型的Port Hamilton公式
IF 1.9 4区 数学
Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2020-12-03 DOI: 10.1080/13873954.2021.1975137
R. Altmann, V. Mehrmann, B. Unger
{"title":"Port-Hamiltonian formulations of poroelastic network models","authors":"R. Altmann, V. Mehrmann, B. Unger","doi":"10.1080/13873954.2021.1975137","DOIUrl":"https://doi.org/10.1080/13873954.2021.1975137","url":null,"abstract":"ABSTRACT We investigate an energy-based formulation of the two-field poroelasticity model and the related multiple-network model as they appear in geosciences or medical applications. We propose a port-Hamiltonian formulation of the system equations, which is beneficial for preserving important system properties after discretization or model-order reduction. For this, we include the commonly omitted second-order term and consider the corresponding first-order formulation. The port-Hamiltonian formulation of the quasi-static case is then obtained by (formally) setting the second-order term zero. Further, we interpret the poroelastic equations as an interconnection of a network of submodels with internal energies, adding a control-theoretic understanding of the poroelastic equations.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"27 1","pages":"429 - 452"},"PeriodicalIF":1.9,"publicationDate":"2020-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44178073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
An energy-consumption model for establishing an integrated energy-consumption process in a machining system 建立加工系统综合能耗过程的能耗模型
IF 1.9 4区 数学
Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2020-11-01 DOI: 10.1080/13873954.2020.1833045
Wenbin Gu, Zhuohao Li, Zeyu Chen, Yuxin Li
{"title":"An energy-consumption model for establishing an integrated energy-consumption process in a machining system","authors":"Wenbin Gu, Zhuohao Li, Zeyu Chen, Yuxin Li","doi":"10.1080/13873954.2020.1833045","DOIUrl":"https://doi.org/10.1080/13873954.2020.1833045","url":null,"abstract":"ABSTRACT Manufacturing industry accounts for a significant part of world’s energy consumption and environmental pollutions. Machining process is a major process of manufacturing industries, plays an important role in energy saving and emission reduction. This paper established an energy-consumption model for machining processes considering the full states of machining processes. Firstly, machining processes are decomposed into activities and activity transitions according to the different characteristics of energy demand. Secondly, based on the decomposition of activities and activity transitions, the energy-consumption models of activities and activity transitions are established, respectively. Thirdly, combining with the established energy-consumption models of activities and activity transitions, this paper proposes an energy-consumption model for the entire machining processes that systematically reflects different machining states. Finally, the simulation results show that the proposed model can accurately calculate the energy consumption of machining processes and provide guidance for machine tool energy saving.","PeriodicalId":49871,"journal":{"name":"Mathematical and Computer Modelling of Dynamical Systems","volume":"26 1","pages":"534 - 561"},"PeriodicalIF":1.9,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/13873954.2020.1833045","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45062099","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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