Results in Control and Optimization最新文献

筛选
英文 中文
Global mild solutions and total controllability of fuzzy conformable fractional stochastic delay systems with non-instantaneous impulses and Poisson jumps 具有非瞬时脉冲和泊松跳的模糊适形分数阶随机时滞系统的全局温和解和全可控性
IF 3.2
Results in Control and Optimization Pub Date : 2026-03-01 Epub Date: 2026-01-28 DOI: 10.1016/j.rico.2026.100663
Nageshwari Sivakumar, Durga Nagarajan
{"title":"Global mild solutions and total controllability of fuzzy conformable fractional stochastic delay systems with non-instantaneous impulses and Poisson jumps","authors":"Nageshwari Sivakumar,&nbsp;Durga Nagarajan","doi":"10.1016/j.rico.2026.100663","DOIUrl":"10.1016/j.rico.2026.100663","url":null,"abstract":"<div><div>This manuscript is concerned with the solvability and total controllability of the fuzzy stochastic delay differential system with non-instantaneous impulses and Poisson jumps under the conformable fractional derivative, which is new to the literature. Such systems naturally arise in real-world processes where uncertainty, memory effects, and abrupt dynamic changes occur simultaneously. The existence and uniqueness results are obtained for the proposed system using the Banach contraction principle. Next, the global solution is derived with the help of generalised Gronwall’s inequality. Furthermore, the total controllability results are established for the presented fuzzy system. A new class of control functions is introduced to regulate the system at the termination of time intervals and on each impulsive event, while incorporating stochastic disturbances. This approach yields to comprehensive controllability outcomes, often termed as total controllability. In support, an example is given to validate the obtained theoretical outcomes. Furthermore, numerical simulations are presented to illustrate the presented model. The technology under discussion will also be used in a number of practical applications, such as traffic flow regulation, population dynamics, climate-driven environmental processes, communication networks, and medical treatment response systems.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"22 ","pages":"Article 100663"},"PeriodicalIF":3.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exponential cone-based OPF formulation for monopolar DC electrical networks 基于指数锥的单极直流电网OPF公式
IF 3.2
Results in Control and Optimization Pub Date : 2026-03-01 Epub Date: 2026-03-04 DOI: 10.1016/j.rico.2026.100683
Oscar Danilo Montoya , Walter Gil-González , Alejandro Garcés-Ruiz
{"title":"Exponential cone-based OPF formulation for monopolar DC electrical networks","authors":"Oscar Danilo Montoya ,&nbsp;Walter Gil-González ,&nbsp;Alejandro Garcés-Ruiz","doi":"10.1016/j.rico.2026.100683","DOIUrl":"10.1016/j.rico.2026.100683","url":null,"abstract":"<div><div>This paper presents a convex reformulation of the optimal power flow problem for monopolar DC distribution networks with integrated distributed energy resources, including photovoltaic generators, wind turbines, and battery storage systems. The non-convexity introduced by bilinear voltage terms in the power balance and loss equations is addressed using an exponential cone-based transformation. By introducing logarithmic auxiliary variables, the bilinear terms are embedded into the convex domain, enabling the use of efficient conic optimization solvers. The proposed model is implemented using the JuMP modeling framework in Julia and evaluated on benchmark DC feeders ranging from 27 to 123 buses. The results demonstrate that the exponential cone-based formulation achieves highly accurate approximations of the exact nonlinear solution, with relative errors as low as <span><math><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>5</mn></mrow></msup></mrow></math></span>, while significantly outperforming standard second-order cone programming relaxations in terms of both accuracy and scalability. The proposed approach offers a reliable and computationally tractable tool for the optimal dispatch and voltage regulation of large-scale DC networks.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"22 ","pages":"Article 100683"},"PeriodicalIF":3.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147396385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modal LMI-based observer design with performance guarantees for semilinear parabolic PDEs: Application to bioreactor system 半线性抛物型偏微分方程基于模态lmi的性能保证观测器设计:在生物反应器系统中的应用
IF 3.2
Results in Control and Optimization Pub Date : 2026-03-01 Epub Date: 2026-02-26 DOI: 10.1016/j.rico.2026.100679
Ivan Yupanqui, Gustavo Pérez-Zuñiga, Luis Enciso-Salas
{"title":"Modal LMI-based observer design with performance guarantees for semilinear parabolic PDEs: Application to bioreactor system","authors":"Ivan Yupanqui,&nbsp;Gustavo Pérez-Zuñiga,&nbsp;Luis Enciso-Salas","doi":"10.1016/j.rico.2026.100679","DOIUrl":"10.1016/j.rico.2026.100679","url":null,"abstract":"<div><div>This paper presents a systematic modal LMI-based framework for infinite-dimensional state observer design of semilinear parabolic partial differential equation (PDE) systems. The proposed methodology exploits the Riesz-spectral decomposition property of parabolic operators to partition the infinite-dimensional dynamics into finite-dimensional slow and infinite-dimensional fast subsystems, enabling late-lumping observer synthesis with guaranteed exponential stability. A modal output injection operator is designed through systematic eigenvalue assignment, while Lipschitz continuity assumptions on the nonlinear terms facilitate rigorous stability analysis of the estimation error dynamics. The design conditions are formulated as computationally tractable linear matrix inequalities (LMIs) derived from Lyapunov stability theory, directly incorporating prescribed decay rate specifications and observer gain magnitude constraints. To address practical implementation considerations, we develop a modal truncation strategy supported by center manifold theory and establish ellipsoidal stability regions through polytopic constraint analysis. The effectiveness of the proposed approach is demonstrated through application to a tubular bioreactor system, where numerical simulations confirm exponential convergence with prescribed performance and validate the practical viability of the infinite-dimensional observer design methodology for distributed parameter systems.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"22 ","pages":"Article 100679"},"PeriodicalIF":3.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147396390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A stochastic differential model of energy-dependent neural stability 能量依赖神经稳定性的随机微分模型
IF 3.2
Results in Control and Optimization Pub Date : 2026-03-01 Epub Date: 2025-12-15 DOI: 10.1016/j.rico.2025.100645
Zhiwei Xu , Qiang Sun , Zhenhui Liu , Qi Yang
{"title":"A stochastic differential model of energy-dependent neural stability","authors":"Zhiwei Xu ,&nbsp;Qiang Sun ,&nbsp;Zhenhui Liu ,&nbsp;Qi Yang","doi":"10.1016/j.rico.2025.100645","DOIUrl":"10.1016/j.rico.2025.100645","url":null,"abstract":"<div><div>We presented and analyzed a stochastic differential equation model of neural population dynamics leveraging synaptic plasticity energy regulation and noise-driven bifurcation. The model integrates the spike-timing-dependent plasticity and energy evolution equations modulated by a control parameter <span><math><mi>λ</mi></math></span>, which governs the tradeoff between metabolic expenditure and stochastic suppression. We derived the critical energy threshold <span><math><msub><mrow><mi>E</mi></mrow><mrow><mi>crit</mi></mrow></msub></math></span> which ensures stability against stochastic perturbations, and we formulated the cost function to determine the optimal <span><math><msub><mrow><mi>λ</mi></mrow><mrow><mi>opt</mi></mrow></msub></math></span> minimizing cost of balancing noise suppression and metabolic expenditure. Through numerical simulation on Ring, Erdős–Rényi, and Scale-Free network topologies, we demonstrate that the system consistently operates above <span><math><msub><mrow><mi>E</mi></mrow><mrow><mi>crit</mi></mrow></msub></math></span>, maintains stability via the Jacobian eigenvalue spectrum, and undergoes a bifurcation only beyond high noise amplitudes. Additional entropy and Lyapunov analyses reveal that the system supports high-dimensional, non-synchronous activity. Our results provide a quantitative framework for understanding how neural circuits achieve noise-robust computation under energetic constraints.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"22 ","pages":"Article 100645"},"PeriodicalIF":3.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145926630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An innovative two-stage method for balancing time, cost, quality, and additional objectives in multi-mode resource-constrained project scheduling: A case study of a food product packaging production line project 在多模式资源约束项目调度中平衡时间、成本、质量和附加目标的创新两阶段方法:以食品包装生产线项目为例研究
IF 3.2
Results in Control and Optimization Pub Date : 2026-03-01 Epub Date: 2025-12-19 DOI: 10.1016/j.rico.2025.100649
Hossein Edrisi, Meghdad Jahromi, Narges Norouzi
{"title":"An innovative two-stage method for balancing time, cost, quality, and additional objectives in multi-mode resource-constrained project scheduling: A case study of a food product packaging production line project","authors":"Hossein Edrisi,&nbsp;Meghdad Jahromi,&nbsp;Narges Norouzi","doi":"10.1016/j.rico.2025.100649","DOIUrl":"10.1016/j.rico.2025.100649","url":null,"abstract":"<div><div>This paper presents a novel two-stage approach for optimizing the scheduling of multi-objective construction projects, validated through a real-world case study of a food product packaging production line. Beyond the conventional objectives of time, cost, and quality, five additional factors—risk, scope creep, environmental impacts, stakeholder satisfaction, and safety—are quantitatively incorporated based on expert judgment and normalized performance ratings. In the first stage, a TOPSIS-based similarity index is calculated for each execution mode of the project activities, aggregating the additional objectives into a single comparable criterion derived from the weighted expert assessments. In the second stage, a four-objective optimization model is formulated to balance project makespan, cost, quality, and the similarity index. Integrating the similarity index ensures simultaneous consideration of both traditional and supplementary objectives. The multi-mode resource-constrained project scheduling problem (MRCPSP) is solved on small instances using the epsilon-constraint method, and for medium- and large-scale problems, two metaheuristics—NSGA-II and MOPSO—are employed. Computational results and sensitivity analyses conducted on the case study demonstrate the model’s capability to produce a diverse set of high-quality Pareto-optimal solutions within reasonable computational timeframes. The proposed framework’s flexibility makes it suitable for projects with varying objective priorities, offering a comprehensive and practical decision-support tool for project managers aiming for more balanced and precise scheduling decisions.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"22 ","pages":"Article 100649"},"PeriodicalIF":3.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145926633","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of the efficacy of the risk-based X̄ control chart in statistical process control 基于风险的X′控制图在统计过程控制中的有效性分析
IF 3.2
Results in Control and Optimization Pub Date : 2026-03-01 Epub Date: 2026-01-23 DOI: 10.1016/j.rico.2026.100661
Aamir Saghir , Attila I. Katona , Csaba Hegedũs , Zsolt T. Kosztyán
{"title":"Analysis of the efficacy of the risk-based X̄ control chart in statistical process control","authors":"Aamir Saghir ,&nbsp;Attila I. Katona ,&nbsp;Csaba Hegedũs ,&nbsp;Zsolt T. Kosztyán","doi":"10.1016/j.rico.2026.100661","DOIUrl":"10.1016/j.rico.2026.100661","url":null,"abstract":"<div><div>Risk-based control charts have recently been introduced to address measurement uncertainty. The statistical properties of a risk-based control chart for detecting a shift have not been studied. In addition to the control chart design, performance evaluation is important for detecting changes in the process. In this paper, the effectiveness of a risk-based <span><math><mover><mrow><mi>X</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span> control chart (recently introduced) in the presence of measurement uncertainty is investigated. By utilizing a risk-based model that considers the cost of decision outcomes, the impact of measurement uncertainty on the <span><math><mover><mrow><mi>X</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span> chart’s performance in both in- and out-of-control scenarios is designed and examined. To lessen the risk associated with measurement uncertainty, the Nelder–Mead search technique is employed to find the optimal control limits. The performance metrics include the total decision cost, cost ratio, probability ratio, and average run length. Simulation and real-world data analyses are employed to assess the efficiency of the risk-based chart via various performance metrics. A sensitivity analysis is conducted to identify the constraints and relevance of the risk-based <span><math><mover><mrow><mi>X</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span> chart in statistical process control.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"22 ","pages":"Article 100661"},"PeriodicalIF":3.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146023010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal fractional order PI controller design for time-delayed processes 时滞过程的最优分数阶PI控制器设计
IF 3.2
Results in Control and Optimization Pub Date : 2026-03-01 Epub Date: 2025-12-22 DOI: 10.1016/j.rico.2025.100651
Erdal Cokmez, Ibrahim Kaya
{"title":"Optimal fractional order PI controller design for time-delayed processes","authors":"Erdal Cokmez,&nbsp;Ibrahim Kaya","doi":"10.1016/j.rico.2025.100651","DOIUrl":"10.1016/j.rico.2025.100651","url":null,"abstract":"<div><div>The usage of fractional calculus enables additional flexibility and precision regarding the control parameters. This study introduces a fully analytical design for a fractional-order Proportional-Integral (FOPI) controller, eliminating the need for predefined parameters or iterative optimization. The Åström recursive algorithm, previously applied to integer-order controllers, is adapted for the first time to optimize FOPI controllers based on integral of squared time error (ISTE), integral of squared time-squared error (IST<sup>2</sup>E), and integral of squared time-cubed error (IST<sup>3</sup>E) performance criteria. This study differs from others since instead of specific types, it combines three types of first-order plus time-delay processes: stable (SFOPTD), integrating (IFOPTD), and unstable (UFOPTD) processes. Analytical formulas have been derived for optimal parameter selection, while separate formulas provided for gain margin (GM), phase margin (PM), and maximum sensitivity (Ms) enable the pre-determination of system robustness. The controller's performance is validated using simulations of the step response, disturbance rejection, control effort, and perturbation response. In addition, real-time experiments on an inverted pendulum illustrate its utility in dynamic processes. This provides a comprehensive framework aimed to further the development of fractional-order control by providing a systematic solution to a large scope of industrial applications.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"22 ","pages":"Article 100651"},"PeriodicalIF":3.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145926631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Recursive feasibility without terminal constraints via parent–child MPC architecture 通过父子MPC架构实现无终端约束的递归可行性
IF 3.2
Results in Control and Optimization Pub Date : 2026-03-01 Epub Date: 2025-12-30 DOI: 10.1016/j.rico.2025.100653
Filip Surma, Anahita Jamshidnejad
{"title":"Recursive feasibility without terminal constraints via parent–child MPC architecture","authors":"Filip Surma,&nbsp;Anahita Jamshidnejad","doi":"10.1016/j.rico.2025.100653","DOIUrl":"10.1016/j.rico.2025.100653","url":null,"abstract":"<div><div>This paper introduces a novel hierarchical model predictive control (MPC) framework, called the Parent–Child MPC architecture, designed to ensure recursive feasibility without relying on terminal constraints. The proposed architecture targets nonlinear constrained systems with Lipschitz continuous dynamics, such as quadrotors, helicopters and autonomous bicycles. For such systems, traditional MPC approaches may suffer from computational intractability or conservativeness due to needing terminal constraints. The proposed framework couples a small-horizon, high-fidelity Child MPC with one or more large-horizon, simplified Parent MPC layers. The Parent layers provide robust invariant tubes that replace terminal constraints, enabling scalable planning and stability guarantees. Two case studies, including a linear double integrator system and a nonlinear system, demonstrate the effectiveness of the architecture. Compared to standard robust tube-based MPC, the Parent–Child MPC achieves up to an eight-fold reduction in solver time and a three-fold increase in controllable prediction horizon. It also maintains performance within 3% of robust tube-based MPC. These results highlight the potential of this architecture for real-time control of complex, nonlinear systems under uncertainty.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"22 ","pages":"Article 100653"},"PeriodicalIF":3.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146173469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimality in constrained fractional robust optimization problems 约束分式鲁棒优化问题的最优性
IF 3.2
Results in Control and Optimization Pub Date : 2026-03-01 Epub Date: 2026-02-06 DOI: 10.1016/j.rico.2026.100666
Octavian Postavaru , Savin Treanţă
{"title":"Optimality in constrained fractional robust optimization problems","authors":"Octavian Postavaru ,&nbsp;Savin Treanţă","doi":"10.1016/j.rico.2026.100666","DOIUrl":"10.1016/j.rico.2026.100666","url":null,"abstract":"<div><div>This paper presents conditions that are both necessary and sufficient for optimal solutions in a new robust fractional optimization problem defined by continuous curvilinear integral derived from uncertain high-dimensional controlled Lagrangeans. We employ the concept of a convex curvilinear integral, defined through an integrable controlled Lagrangean, in conjunction with the notion of a robust weak optimal solution. This theoretical framework enables the establishment of optimality conditions necessary for identifying extreme solutions in a new category of robust optimization problems characterized by variability in both the constraints and the performance criteria. Furthermore, we present the concept of a robust Kuhn–Tucker point and offer a description result. To substantiate our theoretical contributions, we include an illustrative example.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"22 ","pages":"Article 100666"},"PeriodicalIF":3.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146173472","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical modeling of childhood infectious diseases using fractional derivatives and control strategies 利用分数阶导数和控制策略建立儿童传染病的数学模型
IF 3.2
Results in Control and Optimization Pub Date : 2026-03-01 Epub Date: 2026-02-23 DOI: 10.1016/j.rico.2026.100665
Mostofa Kamal , Payer Ahmed , Md. Rasel Mia , Sadia Akter , Sumaya Binta Mosharraf , Mostak Ahmed , Prity Roy , Razia Sultana Ripa , Nodhi Uddin , Md. Al Amin
{"title":"Mathematical modeling of childhood infectious diseases using fractional derivatives and control strategies","authors":"Mostofa Kamal ,&nbsp;Payer Ahmed ,&nbsp;Md. Rasel Mia ,&nbsp;Sadia Akter ,&nbsp;Sumaya Binta Mosharraf ,&nbsp;Mostak Ahmed ,&nbsp;Prity Roy ,&nbsp;Razia Sultana Ripa ,&nbsp;Nodhi Uddin ,&nbsp;Md. Al Amin","doi":"10.1016/j.rico.2026.100665","DOIUrl":"10.1016/j.rico.2026.100665","url":null,"abstract":"<div><div>Childhood infectious diseases continue to pose significant global health challenges, particularly in regions with limited access to healthcare and vaccination services. To capture the memory-dependent nature of disease transmission, this study develops a fractional-order epidemiological model based on the Caputo–Fabrizio derivative. The framework incorporates two realistic intervention strategies—vaccination and isolation/treatment—and analyzes their combined effectiveness in reducing infection levels. Analytical solutions are obtained using the Laplace–Adomian Decomposition Method, while numerical approximations are generated through an Euler-based scheme. The epidemic threshold is derived, and the influence of key parameters on disease persistence is examined. Both disease-free and endemic equilibria are established, and their local and global stability properties are rigorously investigated. Additionally, the Sumudu transform is employed to further assess the system’s dynamic behavior, benefiting from its suitability for fractional operators with non-singular kernels. Fundamental mathematical properties of the model, including existence, uniqueness, positivity, and boundedness, are proven. Optimal control theory, via Pontryagin’s Maximum Principle, is applied to determine cost-effective strategies that minimize infections and maximize recovery. Computational simulations support the theoretical findings, demonstrating that integrated control measures substantially mitigate the spread of childhood infectious diseases.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"22 ","pages":"Article 100665"},"PeriodicalIF":3.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147396201","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信
小红书