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Adaptive learning nonsynchronous control of nonlinear hidden Markov jump systems with limited mode information 有限模态信息非线性隐马尔可夫跳变系统的自适应学习非同步控制
4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023340
Chao Ma, Hang Gao, Wei Wu
{"title":"Adaptive learning nonsynchronous control of nonlinear hidden Markov jump systems with limited mode information","authors":"Chao Ma, Hang Gao, Wei Wu","doi":"10.3934/era.2023340","DOIUrl":"https://doi.org/10.3934/era.2023340","url":null,"abstract":"<abstract><p>In this paper, an adaptive neural network learning based nonsynchronous control method is developed for hidden Markov jump systems with unmodeled nonlinear dynamics. In particular, the system modes are not directly accessible and the limited mode information can be partly estimated by the nonsynchronous controller. More precisely, the mode information with partly accessible transition rates is utilized based on the transition probability matrix. Moreover, the unmodeled nonlinear dynamics are more general in practical applications. Based on the designed mode-dependent controllers with mode observation, sufficient conditions are first exploited by means of the Lyapunov method, such that the desired control performance could be ensured in the mean-square sense. Then, the nonsynchronous mode-dependent controllers are further determined in terms of convex optimization. In the end, our proposed control strategy is applied to a robotic manipulator with varying loads to validate the feasibility with simulation results.</p></abstract>","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135052013","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
On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance 质粒介导的头孢替弗耐药性数学建模中定性分析的贡献
4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023337
Eduardo Ibargüen-Mondragón, M. Victoria Otero-Espinar, Miller Cerón Gómez
{"title":"On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance","authors":"Eduardo Ibargüen-Mondragón, M. Victoria Otero-Espinar, Miller Cerón Gómez","doi":"10.3934/era.2023337","DOIUrl":"https://doi.org/10.3934/era.2023337","url":null,"abstract":"<abstract><p>The acquisition of antibiotic resistance due to the consumption of food contaminated with resistant strains is a public health problem that has been increasing in the last decades. Mathematical modeling is contributing to the solution of this problem. In this article we performed the qualitative analysis of a mathematical model that explores the competition dynamics <italic>in vivo</italic> of ceftiofur-resistant and sensitive commensal enteric <italic>Escherichia coli</italic> (E. coli) in the absence and during parenteral ceftiofur therapy within the gut of cattle, considering the therapeutic effects (<italic>pharmacokinetics</italic> (PK)/<italic>pharmacodynamics</italic> (PD)) in the outcome of infection. Through this analysis, empirical properties obtained through <italic>in vivo</italic> experimentation were verified, and it also evidenced other properties of bacterial dynamics that had not been previously shown. In addition, the impact of PD and PK has been evaluated.</p></abstract>","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135057944","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
Meet-in-the-middle differential fault analysis on Midori Midori的中接差动故障分析
4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023344
Chunyan An, Wei Bai, Donglei Zhang
{"title":"Meet-in-the-middle differential fault analysis on Midori","authors":"Chunyan An, Wei Bai, Donglei Zhang","doi":"10.3934/era.2023344","DOIUrl":"https://doi.org/10.3934/era.2023344","url":null,"abstract":"<abstract><p>Midori is a lightweight block cipher designed by Banik et al. and presented at the ASIACRYPT 2015 conference. According to the block size, it consists of two algorithms, denoted as Midori-64 and Midori-128. Midori generates 8-bit S-Boxes from 4-bit S-Boxes and applies almost MDS matrices instead of MDS matrices. In this paper, we introduce the meet-in-the-middle fault attack model in the 4-round cell-oriented fault propagation trail and reduce the key space in the last round by $ 2^{45.71} $ and $ 2^{39.86} $ for Midori-64 and Midori-128, respectively. For Midori-64, we reduce the time complexity from $ 2^{80} $ to $ 2^{28} $, $ 2^{32} $ and $ 2^{56} $ for the different single fault injection approaches. For Midori-128, we provide a 4-round fault attack method, which slightly increases the complexity compared to previous attacks. Our results indicate that the first and last four rounds of Midori must be protected to achieve its security.</p></abstract>","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135059390","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
Fractional integral associated with the Schrödinger operators on variable exponent space 变指数空间上与Schrödinger算子相关的分数积分
4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023345
Huali Wang, Ping Li
{"title":"Fractional integral associated with the Schrödinger operators on variable exponent space","authors":"Huali Wang, Ping Li","doi":"10.3934/era.2023345","DOIUrl":"https://doi.org/10.3934/era.2023345","url":null,"abstract":"<abstract><p>Let $ mathcal{L} = -Delta+V $ be the Schrödinger operators on $ mathbb{R}^n $ with nonnegative potential $ V $ belonging to the reverse Hölder class $ RH_q $ for some $ q geq frac{n}{2} $. We prove the boundedness of fractional integral operator $ mathcal{I}_alpha $ related to the Schrödinger operators $ mathcal{L} $ from strong and weak variable exponent Lebesgue spaces into suitable variable exponent Lipschitz type spaces.</p></abstract>","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135156332","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
Ensemble deep learning-based lane-changing behavior prediction of manually driven vehicles in mixed traffic environments 基于集成深度学习的混合交通环境下人工驾驶车辆变道行为预测
4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023315
Boshuo Geng, Jianxiao Ma, Shaohu Zhang
{"title":"Ensemble deep learning-based lane-changing behavior prediction of manually driven vehicles in mixed traffic environments","authors":"Boshuo Geng, Jianxiao Ma, Shaohu Zhang","doi":"10.3934/era.2023315","DOIUrl":"https://doi.org/10.3934/era.2023315","url":null,"abstract":"<abstract><p>Accurately predicting lane-changing behaviors (lane keeping, left lane change and right lane change) in real-time is essential for ensuring traffic safety, particularly in mixed-traffic environments with both autonomous and manual vehicles. This paper proposes a fused model that predicts vehicle lane-changing behaviors based on the road traffic environment and vehicle motion parameters. The model combines the ensemble learning XGBoost algorithm with the deep learning Bi-GRU neural network. The XGBoost algorithm first checks whether the present environment is safe for the lane change and then evaluates the likelihood that the target vehicle will make a lane change. Subsequently, the Bi-GRU neural network is used to accurately forecast the lane-changing behaviors of nearby vehicles using the feasibility of lane-changing and the vehicle's motion status as input features. The highD trajectory dataset was utilized for training and testing the model. The model achieved an accuracy of 98.82%, accurately predicting lane changes with an accuracy exceeding 87% within a 2-second timeframe. By comparing with other methods and conducting experimental validation, we have demonstrated the superiority of the proposed model, thus, the research achievement is of utmost significance for the practical application of autonomous driving technology.</p></abstract>","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135549905","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
Phased mission reliability analysis of unmanned ship systems 无人船系统阶段任务可靠性分析
4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023325
Xu Zhan, Yang Yong, Wang Xiao
{"title":"Phased mission reliability analysis of unmanned ship systems","authors":"Xu Zhan, Yang Yong, Wang Xiao","doi":"10.3934/era.2023325","DOIUrl":"https://doi.org/10.3934/era.2023325","url":null,"abstract":"<abstract> <p>With the development of unmanned ships, their use in production is becoming more and more common. However, the unmanned ship work cycle is long and the work environment is complex, and it is still very difficult to calculate the phased mission reliability without unmanned ship. We analyze the unmanned ship phased mission reliability based on the binary decision diagram. Moreover, redundancy is used as the unmanned ship reliability optimization scheme. Considering the resource limitation, and the capacity of unmanned ship, the redundancy allocation scheme of unmanned ship is established. The redundancy allocation scheme is solved by marginal optimization algorithm. Finally, a case study is established to analyze the effectiveness and practicality of the proposed method.</p> </abstract>","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135798896","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
Cyclostationary and energy detection spectrum sensing beyond 5G waveforms 超过5G波形的周期平稳和能量检测频谱传感
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023172
Arun Kumar, J. Venkatesh, Nishant Gaur, M. Alsharif, P. Uthansakul, M. Uthansakul
{"title":"Cyclostationary and energy detection spectrum sensing beyond 5G waveforms","authors":"Arun Kumar, J. Venkatesh, Nishant Gaur, M. Alsharif, P. Uthansakul, M. Uthansakul","doi":"10.3934/era.2023172","DOIUrl":"https://doi.org/10.3934/era.2023172","url":null,"abstract":"The cyclostationary spectrum (CS) method is one of the best at what it does because it effectively detects idle spectrum with low signal-to-noise ratios (SNR). In order to distinguish the signal in a noisy environment, gather more data that aids in a better analysis of signals, and use spectral correlation for dependable framework modelling, CS achieves optimal performance characteristics. High intricacy is seen as one of the CS's shortcomings. In this article, we suggest a novel CS algorithm for 5G waveforms. By restricting the computation of cyclostationary characteristics and the signal autocorrelation, the complexity of CS is reduced. To evaluate the performance of 5G waveforms, the Energy Detection (ED) and CS spectrum sensing algorithms based on cognitive radio (CR) are presented. The results of the study show that the suggested CS algorithm did a good job of detection and gained 2 dB compared to the conventional standards.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70245703","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
Enterprise financialization and R&D innovation: A case study of listed companies in China 企业金融化与研发创新:以中国上市公司为例
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023124
Yue Liu, Jinzhi Liu, Lichang Zhang
{"title":"Enterprise financialization and R&D innovation: A case study of listed companies in China","authors":"Yue Liu, Jinzhi Liu, Lichang Zhang","doi":"10.3934/era.2023124","DOIUrl":"https://doi.org/10.3934/era.2023124","url":null,"abstract":"In financial asset allocation, enterprises adjust their investment in R&D innovation according to their motives and the external environment. Based on a review of the literature related to enterprise financialization and R&D innovation, this paper proposes research hypotheses through theoretical analysis first; then, taking China's A-share non-financial listed companies from 2010 to 2019 as research objects, this paper explores the relationship between enterprise financialization and R&D innovation with a quantile panel data model; further, the heterogeneous relationship between the two under different business cycle phases is empirically analyzed. The following conclusions are drawn. First, there is a dynamic relationship between enterprise financialization and R&D innovation, varying with different financing constraints. Second, the dynamic relationship between enterprise financialization and R&D innovation stems from the motivation difference in enterprise asset allocation. Third, there are significant differences in the dynamic relationship at different business cycle phases.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70244647","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: 14
Existence of a positive radial solution for semilinear elliptic problem involving variable exponent 变指数半线性椭圆型问题径向正解的存在性
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023125
Changmu Chu, Shan Li, H. Suo
{"title":"Existence of a positive radial solution for semilinear elliptic problem involving variable exponent","authors":"Changmu Chu, Shan Li, H. Suo","doi":"10.3934/era.2023125","DOIUrl":"https://doi.org/10.3934/era.2023125","url":null,"abstract":"<abstract><p>This paper consider that the following semilinear elliptic equation</p> <p><disp-formula> <label>0.1</label> <tex-math id=\"E0.1\"> begin{document}$ begin{equation} left{ begin{array}{ll} -Delta u = u^{q(x)-1}, & {mbox{in}} B_1, u>0, & {mbox{in}} B_1, u = 0, & {mbox{in}} partial B_1, end{array} right. end{equation} $end{document} </tex-math></disp-formula></p> <p>where $ B_1 $ is the unit ball in $ mathbb{R}^N(Ngeq 3) $, $ q(x) = q(|x|) $ is a continuous radial function satifying $ 2leq q(x) < 2^* = frac{2N}{N-2} $ and $ q(0) > 2 $. Using variational methods and a priori estimate, the existence of a positive radial solution for (0.1) is obtained.</p></abstract>","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70244680","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
On two-term exponential sums and their mean values 关于两项指数和及其平均值
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023282
Jianghua Li, Zepeng Zhang, Tianyu Pan
{"title":"On two-term exponential sums and their mean values","authors":"Jianghua Li, Zepeng Zhang, Tianyu Pan","doi":"10.3934/era.2023282","DOIUrl":"https://doi.org/10.3934/era.2023282","url":null,"abstract":"The mean value problems of exponential sums play a very important role in the research of analytic number theory, and many famous number theory problems are closely related to them. The main purpose of this paper is using some elementary methods and the number of the solutions of the congruence equations to study the calculating problem of some fourth power means of two-term exponential sums, and give exact calculating formulae and asymptotic formula for them.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70247268","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
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