Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第10页

Adaptive posterior distributions for uncertainty analysis of covariance matrices in Bayesian inversion problems for multioutput signals

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-01-01 DOI: 10.1016/j.jfranklin.2024.107441

E. Curbelo , L. Martino , F. Llorente , D. Delgado-Gómez

{"title":"Adaptive posterior distributions for uncertainty analysis of covariance matrices in Bayesian inversion problems for multioutput signals","authors":"E. Curbelo , L. Martino , F. Llorente , D. Delgado-Gómez","doi":"10.1016/j.jfranklin.2024.107441","DOIUrl":"10.1016/j.jfranklin.2024.107441","url":null,"abstract":"<div><div>In this paper we address the problem of performing Bayesian inference for the parameters of a nonlinear multioutput model and the covariance matrix of the different output signals. We propose an adaptive importance sampling (AIS) scheme for multivariate Bayesian inversion problems, which is based in two main ideas: the variables of interest are split in two blocks and the inference takes advantage of known analytical optimization formulas. We estimate both the unknown parameters of the multivariate non-linear model and the covariance matrix of the noise. In the first part of the proposed inference scheme, a novel AIS technique called adaptive target adaptive importance sampling (ATAIS) is designed, which alternates iteratively between an IS technique over the parameters of the non-linear model and a frequentist approach for the covariance matrix of the noise. In the second part of the proposed inference scheme, a prior density over the covariance matrix is considered and the cloud of samples obtained by ATAIS are recycled and re-weighted to obtain a complete Bayesian study over the model parameters and covariance matrix. ATAIS is the main contribution of the work. Additionally, the inverted layered importance sampling (ILIS) is presented as a possible compelling algorithm (but based on a conceptually simpler idea). Different numerical examples show the benefits of the proposed approaches.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107441"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137834","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On input-to-state stability verification of identified models obtained by Koopman operator

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-01-01 DOI: 10.1016/j.jfranklin.2024.107490

Wenjie Mei , Dongzhe Zheng , Yu Zhou , Ahmad Taha , Chengyan Zhao

引用次数: 0

H_ /H∞ faults detection for discrete-time nonlinear complex dynamical networks with Markov jump topology

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-01-01 DOI: 10.1016/j.jfranklin.2024.107463

Qian Dong, Tianchi Tong, Wenying Yuan, Jinsheng Sun

{"title":"H_ /H∞ faults detection for discrete-time nonlinear complex dynamical networks with Markov jump topology","authors":"Qian Dong, Tianchi Tong, Wenying Yuan, Jinsheng Sun","doi":"10.1016/j.jfranklin.2024.107463","DOIUrl":"10.1016/j.jfranklin.2024.107463","url":null,"abstract":"<div><div>The fault detection issue for discrete-time nonlinear complex dynamical networks (CDNs) with Markov jump topology is investigated. Firstly, an interval type-2 (IT2) Takagi–Sugeno (T–S) fuzzy model is used to approximate discrete-time nonlinear CDNs with the lower and upper membership functions (MFs) to capture nonlinear parameters. Secondly, both the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> robust performance and the <span><math><mrow><mi>H</mi><mtext>_</mtext></mrow></math></span> fault sensitivity index are proposed to minimize the effect of external disturbance and maximize that of some faults on the generated residual, respectively. Moreover, based on the lower and upper MFs, the <span><math><mrow><mi>H</mi><mtext>_</mtext></mrow></math></span> /<span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> fault detection observer mechanism consisting of IT2 T–S observers and residual systems is designed to detected some faults, which can trigger alarm by evaluation function when fault occurs. Finally, the numerical result of the presented method is shown by applying two simulation examples, which show the effectiveness of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107463"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Sampled-data-based load frequency control for power systems considering time delays

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-01-01 DOI: 10.1016/j.jfranklin.2024.107477

Wei-Min Wang , Hong-Bing Zeng , Jin-Ming Liang , Shen-Ping Xiao

引用次数: 0

Lag synchronization analysis of semi-Markovian jumping CVNs with time-varying delay: Mode-dependent distributed delayed control scheme

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-01-01 DOI: 10.1016/j.jfranklin.2024.107496

Qiang Li , Hanqing Wei , Haiyang Zhang , Jinling Wang , Yangang Yao , Yuanshi Zheng

{"title":"Lag synchronization analysis of semi-Markovian jumping CVNs with time-varying delay: Mode-dependent distributed delayed control scheme","authors":"Qiang Li , Hanqing Wei , Haiyang Zhang , Jinling Wang , Yangang Yao , Yuanshi Zheng","doi":"10.1016/j.jfranklin.2024.107496","DOIUrl":"10.1016/j.jfranklin.2024.107496","url":null,"abstract":"<div><div>This paper is devoted to addressing the lag synchronization issue of semi-Markovian jumping complex-valued networks with time-varying delay. Firstly, two types of mode-dependent controllers are designed, i.e., a continuous distributed delayed memorized controller and a discrete distributed delayed impulsive controller, which are utilized to facilitate lag synchronization between the considered master and slave systems. Secondly, by introducing some novel integral inequalities, the achieved results not only effectively overcome the limitation <span><math><mrow><mover><mrow><mi>d</mi></mrow><mrow><mo>̇</mo></mrow></mover><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo><</mo><mn>1</mn></mrow></math></span> in earlier literature, but also expand the feasible domain because of the addition of relaxed matrices <span><math><mi>N</mi></math></span> and <span><math><mi>X</mi></math></span>. Additionally, sufficient conditions for attaining mean-square lag synchronization of the master–slave systems can be obtained by resorting to numerous inequality approaches, stochastic analysis techniques, and Lyapunov stability theory. Meanwhile, the desired controller gain matrices can be designed by solving derived matrix inequalities. As a final point, two numerical examples are proposed to validate the established theoretical criteria.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107496"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138505","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Observer-based sliding mode control of discrete-time delayed singular semi-Markov jump systems with random false data injection attacks

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-01-01 DOI: 10.1016/j.jfranklin.2024.107400

Chengcheng Zhang , Yonggui Kao , Haibin Huang , Yufei Zhuang

引用次数: 0

Fault detection based on an improved zonotopic Kalman filter with application to a wind turbine drivetrain

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-01-01 DOI: 10.1016/j.jfranklin.2024.107428

Lanshuang Zhang , Zhenhua Wang , Vicenç Puig , Yi Shen

{"title":"Fault detection based on an improved zonotopic Kalman filter with application to a wind turbine drivetrain","authors":"Lanshuang Zhang , Zhenhua Wang , Vicenç Puig , Yi Shen","doi":"10.1016/j.jfranklin.2024.107428","DOIUrl":"10.1016/j.jfranklin.2024.107428","url":null,"abstract":"<div><div>This paper proposes a sensor fault detection method based on an improved zonotopic Kalman filter (ZKF) for discrete-time systems with parameter uncertainty. In the residual generation step, an improved ZKF is designed to generate robust residuals. The improved ZKF is designed by directly optimizing the estimated interval widths, which provides a clear geometric interpretation and yields tighter uncertainty bounds compared to the commonly used Frobenius norm optimization method. Moreover, the gain matrix of the improved ZKF is computed by the linear programming method, which is numerically efficient. In the residual evaluation step, the improved ZKF is used to obtain guaranteed adaptive thresholds. Then, to illustrate the superiority of the proposed fault detection method, a comparison study with application to a wind turbine drivetrain is proposed, which illustrates that the proposed method can achieve more accurate fault detection results compared with the commonly-used Frobenius norm optimization approach.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107428"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Simultaneous identification of parameters of fractional-order Hammerstein-Wiener model with time-delay using operational matrix in a colored noise environment

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-01-01 DOI: 10.1016/j.jfranklin.2024.107444

Chunlei Liu , Hongwei Wang , Qian Zhang

{"title":"Simultaneous identification of parameters of fractional-order Hammerstein-Wiener model with time-delay using operational matrix in a colored noise environment","authors":"Chunlei Liu , Hongwei Wang , Qian Zhang","doi":"10.1016/j.jfranklin.2024.107444","DOIUrl":"10.1016/j.jfranklin.2024.107444","url":null,"abstract":"<div><div>This research aims to solve the problem of parameter identification of fractional-order non-homogeneous Hammerstein-Wiener systems with time-delay under the influence of colored noise, and proposes an innovative identification method based on operational matrix. This approach is designed to estimate fractional orders, time delay, and system coefficients concurrently. First, a model including time delay was established for the fractional-order Hammerstein-Wiener system, the operational matrix is used to construct the model, and the continuous operational matrix with delay is redefined to adapt to the delay characteristics. During the construction of this model, the mechanism by which the operational matrix attenuates colored noise was analyzed. Next, the method derives the first-order and second-order derivatives of all the parameters, and achieves the simultaneous identification of fractional orders, time delay parameter, and system coefficients through the damped Newton method. Finally, the accuracy and practicability of the parameter identification method are verified through a numerical simulation and an actual mechanical system.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107444"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stubborn state estimation for time-delay systems with relay communication network: The half-duplex case

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-01-01 DOI: 10.1016/j.jfranklin.2024.107465

Wentao Le, Bo Shen, Lei Zou, Jie Sun

{"title":"Stubborn state estimation for time-delay systems with relay communication network: The half-duplex case","authors":"Wentao Le, Bo Shen, Lei Zou, Jie Sun","doi":"10.1016/j.jfranklin.2024.107465","DOIUrl":"10.1016/j.jfranklin.2024.107465","url":null,"abstract":"<div><div>This article is focus on the ultimately bounded state estimation issue for time-delay systems with half-duplex (HD) relay communication network. To enhance the quality of long-distance signal transmission, an HD relay-aided scheme is deployed to forward the transmitted signals between sensors and the remote state estimator, where the forwarded signals are generated based on the filter-and-forward protocol. Considering the impacts of the potential measurement outliers on the estimation accuracy, a so-called stubborn state estimator is constructed by adopting an adaptive innovation-saturation-based mechanism. To ensure satisfactory relaying performance for the forwarded signals, sufficient conditions are derived for the design of the relaying parameters by solving certain linear matrix inequalities. Subsequently, the ultimate boundedness of the resultant state estimation error is analyzed. And in terms of resolving a constrained optimization problem, the desired parameter of the remote estimator is derived. Finally, a numerical example is provided to demonstrate the efficacy of developed HD relay-aid strategy and stubborn state estimation scheme.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107465"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Distributed constrained optimization over unbalanced graphs and delayed gradient

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-01-01 DOI: 10.1016/j.jfranklin.2024.107466

Qing Huang, Yuan Fan, Songsong Cheng

引用次数: 0