Journal of The Franklin Institute-engineering and Applied Mathematics最新文献

A multidimensional image encryption and decryption technology 多维图像加解密技术

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-09 DOI: 10.1016/j.jfranklin.2024.107315

引用次数: 0

Fixed-time adaptive control of quadrotor suspension system with unknown payload mass 具有未知有效载荷质量的四旋翼悬挂系统的固定时间自适应控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-05 DOI: 10.1016/j.jfranklin.2024.107316

引用次数: 0

Dynamic event-triggered consensus for stochastic delay multi-agent systems under directed topology 有向拓扑下随机延迟多代理系统的动态事件触发共识

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-05 DOI: 10.1016/j.jfranklin.2024.107314

引用次数: 0

Stability analysis of quasilinear systems on time scale based on a new estimation of the upper bound of the time scale matrix exponential function 基于时间尺度矩阵指数函数上限新估算的时间尺度准线性系统稳定性分析

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-05 DOI: 10.1016/j.jfranklin.2024.107312

{"title":"Stability analysis of quasilinear systems on time scale based on a new estimation of the upper bound of the time scale matrix exponential function","authors":"","doi":"10.1016/j.jfranklin.2024.107312","DOIUrl":"10.1016/j.jfranklin.2024.107312","url":null,"abstract":"<div><div>In this paper, the stability of quasilinear systems on time scale is analyzed based on a new estimation of the upper bound of the time scale matrix exponential function. First, some new upper bounds for the norm of the matrix exponential function <span><math><mrow><msub><mrow><mi>e</mi></mrow><mrow><mi>A</mi></mrow></msub><mrow><mo>(</mo><mi>t</mi><mo>,</mo><msub><mrow><mi>t</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>)</mo></mrow></mrow></math></span> are derived, where <span><math><mi>A</mi></math></span> is a regressive square matrix, <span><math><mrow><mi>t</mi><mo>,</mo><msub><mrow><mi>t</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>∈</mo><mi>T</mi></mrow></math></span>, <span><math><mi>T</mi></math></span> being a time scale. The matrix exponential function generalizes the usual matrix exponential as well as the integer power of a matrix. It is shown that the obtained bounds are more accurate compared to the existing bounds of the norm of the matrix exponential function. One of the upper bounds is then used for stability investigation of quasilinear systems evolving on arbitrary time domains.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142433703","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

Adaptive robust integrated guidance and control for thrust-vector-controlled aircraft by solving LQR online 通过在线求解 LQR 实现推力矢量控制飞机的自适应鲁棒综合制导与控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-04 DOI: 10.1016/j.jfranklin.2024.107307

{"title":"Adaptive robust integrated guidance and control for thrust-vector-controlled aircraft by solving LQR online","authors":"","doi":"10.1016/j.jfranklin.2024.107307","DOIUrl":"10.1016/j.jfranklin.2024.107307","url":null,"abstract":"<div><div>In order to enhance the matching relationship between guidance subsystem and control subsystem of the thrust-vector-controlled aircraft, a kind of sufficient modeling and adaptive robust design facing to integrated guidance and control (IGC) is proposed. With respect to the researched aircraft, a linear state-dependent mathematical model facing to IGC design is first established. Based on the as-built model, a new kind of adaptive robust IGC law is proposed and it is composed by an adaptive optimal IGC law and a robustness-improved IGC law. In order to guarantee the global stability of time-varying control system, the adaptive optimal IGC law is designed by solving Riccati matrix equation on line and using matrix Sign function method. Furthermore, in order to enhance the robust ability against the unmatched system uncertainties, the robustness-improved IGC law is designed by using dynamic surface control approach and extended state observing strategy. Simulation results present that, the proposed IGC scheme presents more performance advantages compared with traditional IGC schemes, including the improvement of guidance precision and attitude stabilization. Furthermore, in the conditions of 256 simulation combinations, the minimum relative distances between aircraft position and target position are distributed from 0.103m to 5.333m, and the average value is 2.208m, which means the proposed IGC scheme possesses strong robustness against different and time-varying model uncertainties.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420642","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

Opinions dynamics for a generalized nonlinear model with state-dependent susceptibility in signed networks on time scales 具有状态依赖性的广义非线性模型在签名网络中的意见动态时标

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-04 DOI: 10.1016/j.jfranklin.2024.107313

{"title":"Opinions dynamics for a generalized nonlinear model with state-dependent susceptibility in signed networks on time scales","authors":"","doi":"10.1016/j.jfranklin.2024.107313","DOIUrl":"10.1016/j.jfranklin.2024.107313","url":null,"abstract":"<div><div>This article studies the opinions dynamics for a generalized nonlinear model with state-dependent susceptibility in signed networks on time scales. Unlike continuous-time or discrete-time models, time-scale systems can integrate continuous and discrete systems within a unified framework. Nevertheless, time-scale induced discontinuity properties can make it difficult to study the well-posedness and dynamics analysis of the opinions dynamics. In this paper, we first give a time-scale related condition to ensure the well-posedness of the nonlinear model. Then, based on time-scale theory, the comparison principle and the generalized Gronwall inequality, we focus on analyzing the dynamic behavior of the nonlinear model with three distinct susceptibility functions, which represent the behavior pattern of stubborn positives, stubborn extremists, and stubborn neutrals respectively. For the behavior pattern of stubborn positives and stubborn extremists, some sufficient conditions are given such that all agents’ viewpoints will converge exponentially towards a specific equilibrium point or achieve consensus under certain initial conditions. For the behavior pattern of stubborn neutrals, all agents’ opinions will finally reach neutrality.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420821","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

Stabilization of LTI systems with both uncertainties and external disturbances via DE-based control method 通过基于 DE 的控制方法稳定具有不确定性和外部干扰的 LTI 系统

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-03 DOI: 10.1016/j.jfranklin.2024.107293

引用次数: 0

Policy iteration based cooperative linear quadratic differential games with unknown dynamics 基于政策迭代的未知动态合作线性二次微分博弈

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-02 DOI: 10.1016/j.jfranklin.2024.107301

引用次数: 0

An observer-based approach to adaptive tracking for switched strict-feedback nonlinear systems with state quantization and sensor faults 基于观测器的开关式严格反馈非线性系统自适应跟踪方法（带状态量化和传感器故障

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-01 DOI: 10.1016/j.jfranklin.2024.107309

引用次数: 0

A co-optimized control method of key parameters during operating state migration in zinc electrolysis process 锌电解过程运行状态迁移期间关键参数的协同优化控制方法

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-09-30 DOI: 10.1016/j.jfranklin.2024.107303

{"title":"A co-optimized control method of key parameters during operating state migration in zinc electrolysis process","authors":"","doi":"10.1016/j.jfranklin.2024.107303","DOIUrl":"10.1016/j.jfranklin.2024.107303","url":null,"abstract":"<div><div>Electrolysis is the primary energy-consuming process in zinc hydrometallurgy. Time-of-use pricing policy has caused changes in the optimal operating conditions of the electrolysis cell, necessitating adjustments to key parameters such as current density and the acid-to-zinc ratio to migrate it to the desired operational state. However, while the current density can be switched instantaneously, adjustments to the acid-to-zinc ratio occur slowly, leading to a prolonged mismatch between these key parameters, increasing energy consumption. To address this problem, this paper proposes a co-optimized control method of key parameters during the operating state migration in zinc electrolysis process. First, a co-optimization model is established with current density and acid-to-zinc ratio as decision variables. Next, a cascade control framework is designed in which the current density controller is subordinate to the acid-to-zinc ratio controller, transforming the problem of solving the co-optimization model into a parameter optimization problem for the acid-to-zinc ratio controller. Finally, a fitness function representing energy efficiency, control performance, and zinc yield during the operating state migration in zinc electrolysis process is designed, and a heuristic algorithm is employed to find the optimal parameters for the acid-to-zinc ratio controller. This achieves the optimal trajectory migration of the operating state in the zinc electrolysis process. Simulation experiments demonstrate that the proposed method can reduce energy consumption during the operating state migration without compromising production efficiency, offering a new approach to energy-saving in the zinc electrolysis industry.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420764","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