Pub Date : 2026-01-25DOI: 10.1016/j.apm.2026.116788
Zhijie Bian, Baofeng Pan, Guibing Zhu, Changjian Yan
This work addresses the control problem for autonomous shipboard landing of quadrotor unmanned aerial vehicles (UAVs), and proposes a self-triggered robust adaptive control scheme with prescribed performance. The control design incorporates the effects of model parameter uncertainties and external disturbances acting on the UAV, as well as spatial constraints at the landing point on the unmanned surface vessel (USV) and the influence of relative vertical motion between the USV and UAV during the landing process. To tackle the multi-dimensional spatial constraints and ensure a smooth transition during landing, a hyperbolic tangent-based guidance mechanism is proposed, and establish the stage-switching criteria for the autonomous shipboard landing. Furthermore, a novel error transformation method is introduced to guarantee that the landing process does not violate the spatial constraints of the UAV-USV system, while simultaneously ensuring both transient and steady-state tracking performance. To mitigate the effects of model parameter uncertainties and external disturbances, a single-parameter learning mechanism is developed, enabling the integrated online compensation of composite uncertainties formed by model parameters and external disturbances. Concurrently, a parallel self-triggering mechanism is incorporated into the controller-actuator channel to reduce the control signal transmission frequency and alleviate actuator wear. The boundedness of all signals in the closed-loop system is analyzed and rigorously proven using Lyapunov-based stability theory. Finally, comparative simulation results demonstrate the effectiveness and practicality of the developed control scheme.
{"title":"Self-triggered cooperative autonomous tracking and landing control for UAV-USV systems with prescribed performance","authors":"Zhijie Bian, Baofeng Pan, Guibing Zhu, Changjian Yan","doi":"10.1016/j.apm.2026.116788","DOIUrl":"https://doi.org/10.1016/j.apm.2026.116788","url":null,"abstract":"This work addresses the control problem for autonomous shipboard landing of quadrotor unmanned aerial vehicles (UAVs), and proposes a self-triggered robust adaptive control scheme with prescribed performance. The control design incorporates the effects of model parameter uncertainties and external disturbances acting on the UAV, as well as spatial constraints at the landing point on the unmanned surface vessel (USV) and the influence of relative vertical motion between the USV and UAV during the landing process. To tackle the multi-dimensional spatial constraints and ensure a smooth transition during landing, a hyperbolic tangent-based guidance mechanism is proposed, and establish the stage-switching criteria for the autonomous shipboard landing. Furthermore, a novel error transformation method is introduced to guarantee that the landing process does not violate the spatial constraints of the UAV-USV system, while simultaneously ensuring both transient and steady-state tracking performance. To mitigate the effects of model parameter uncertainties and external disturbances, a single-parameter learning mechanism is developed, enabling the integrated online compensation of composite uncertainties formed by model parameters and external disturbances. Concurrently, a parallel self-triggering mechanism is incorporated into the controller-actuator channel to reduce the control signal transmission frequency and alleviate actuator wear. The boundedness of all signals in the closed-loop system is analyzed and rigorously proven using Lyapunov-based stability theory. Finally, comparative simulation results demonstrate the effectiveness and practicality of the developed control scheme.","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"1 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2026-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146047902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-24DOI: 10.1016/j.apm.2026.116789
Agatha Joumaa , Paola Goatin , Giovanni De Nunzio
This study introduces a flexible macroscopic model for heterogeneous traffic flow on general road networks, allowing the presence of several vehicle classes with general speed functions and different maximal densities pertinent to urban environments. The model, applicable to shared road situations, is designed for describing both creeping phenomena and class-specific lane discipline. Extended to networks, the model addresses the dynamics at general m × n junctions by prescribing suitable coupling conditions. Using the passenger-car-equivalent representation, numerical experiments demonstrate the model’s effectiveness in handling different real-life traffic scenarios, each with their complexities. The study focuses on the assessment of total travel time and CO2 emissions in the network, highlighting influences from various factors and traffic management strategies such as route guidance and modal shift. Results show that the model can accurately describe scenarios of congested situations where cyclists navigate past queues of cars and cars overtake queues of trucks.
{"title":"A macroscopic framework for modeling heterogeneous traffic flows on urban networks","authors":"Agatha Joumaa , Paola Goatin , Giovanni De Nunzio","doi":"10.1016/j.apm.2026.116789","DOIUrl":"10.1016/j.apm.2026.116789","url":null,"abstract":"<div><div>This study introduces a flexible macroscopic model for heterogeneous traffic flow on general road networks, allowing the presence of several vehicle classes with general speed functions and different maximal densities pertinent to urban environments. The model, applicable to shared road situations, is designed for describing both creeping phenomena and class-specific lane discipline. Extended to networks, the model addresses the dynamics at general <em>m</em> × <em>n</em> junctions by prescribing suitable coupling conditions. Using the passenger-car-equivalent representation, numerical experiments demonstrate the model’s effectiveness in handling different real-life traffic scenarios, each with their complexities. The study focuses on the assessment of total travel time and CO<sub>2</sub> emissions in the network, highlighting influences from various factors and traffic management strategies such as route guidance and modal shift. Results show that the model can accurately describe scenarios of congested situations where cyclists navigate past queues of cars and cars overtake queues of trucks.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"156 ","pages":"Article 116789"},"PeriodicalIF":4.4,"publicationDate":"2026-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146047903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-23DOI: 10.1016/j.apm.2026.116772
M.R. Delfani, M. Yadollahi
The widespread application of nanowires in various industries, particularly in battery technology where they serve as electrode materials, has attracted considerable research attention. In this context, the present study aims at developing a cylindrical continuum model for such nanostructures and deriving analytical solutions for the elastic and plastic fields induced therein by solid-state ion diffusion and the presence of dislocations. Given the significance of size effects in nanoscale solid-mechanics problems, Helmholtz-type strain-gradient theory is employed to provide a size-dependent continuum framework for describing the relevant field quantities. The results obtained here indicate that dislocations contribute to a reduction in the overall stress levels within these structures. Additionally, it is shown that decreasing the cross-sectional radius of the nanowires leads to a further reduction in the diffusion-induced stress, even resulting in a transition from tensile to compressive stress states. This transition may facilitate crack closure, suggesting a hardening effect associated with structural miniaturization.
{"title":"Strain-gradient solution for solid-state ion diffusion induced stress in cylindrical nanowires with dislocation effects","authors":"M.R. Delfani, M. Yadollahi","doi":"10.1016/j.apm.2026.116772","DOIUrl":"10.1016/j.apm.2026.116772","url":null,"abstract":"<div><div>The widespread application of nanowires in various industries, particularly in battery technology where they serve as electrode materials, has attracted considerable research attention. In this context, the present study aims at developing a cylindrical continuum model for such nanostructures and deriving analytical solutions for the elastic and plastic fields induced therein by solid-state ion diffusion and the presence of dislocations. Given the significance of size effects in nanoscale solid-mechanics problems, Helmholtz-type strain-gradient theory is employed to provide a size-dependent continuum framework for describing the relevant field quantities. The results obtained here indicate that dislocations contribute to a reduction in the overall stress levels within these structures. Additionally, it is shown that decreasing the cross-sectional radius of the nanowires leads to a further reduction in the diffusion-induced stress, even resulting in a transition from tensile to compressive stress states. This transition may facilitate crack closure, suggesting a hardening effect associated with structural miniaturization.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"156 ","pages":"Article 116772"},"PeriodicalIF":4.4,"publicationDate":"2026-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146033521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-22DOI: 10.1016/j.apm.2026.116781
Ke Liu, Biao Li, Siyuan Wang, Yazhi Li
{"title":"A thermo-chemo-mechanical damage model for predicting high-temperature oxidation and creep life of GH4169 superalloy","authors":"Ke Liu, Biao Li, Siyuan Wang, Yazhi Li","doi":"10.1016/j.apm.2026.116781","DOIUrl":"https://doi.org/10.1016/j.apm.2026.116781","url":null,"abstract":"","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"10 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2026-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146033534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-22DOI: 10.1016/j.apm.2026.116784
Hao Cheng
{"title":"Imputation algorithms based on the majorization-minimization framework for smoothed composite quantile regression and applications","authors":"Hao Cheng","doi":"10.1016/j.apm.2026.116784","DOIUrl":"https://doi.org/10.1016/j.apm.2026.116784","url":null,"abstract":"","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"32 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2026-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146033532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-22DOI: 10.1016/j.apm.2026.116778
Hasan Faik Kara, Metin Aydogdu
{"title":"Dynamical analysis of a functionally graded tube surrounded by a homogeneous infinite medium subjected to SH-waves","authors":"Hasan Faik Kara, Metin Aydogdu","doi":"10.1016/j.apm.2026.116778","DOIUrl":"https://doi.org/10.1016/j.apm.2026.116778","url":null,"abstract":"","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"44 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2026-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146033535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-21DOI: 10.1016/j.apm.2026.116785
Jiaguo Zhou , Guoji Xu , Qi Tao , Yongle Li , Jinsheng Wang
In this study, an efficient parallelized adaptive learning framework is developed for estimating small failure probabilities. The method introduces a parallelized infilling criterion in which pseudo-learning functions, augmented by an influence factor, approximate the impact of newly selected samples on the learning-function values without requiring prior evaluations of the true performance function. An adaptive strategy is further employed to determine the optimal batch size in each iteration. Following the principle of maximizing uncertainty reduction in failure-probability estimation, an error-based learning-function allocation strategy is proposed to dynamically choose the most suitable function from a predefined library. For rare-failure scenarios, a Markov chain Monte Carlo-based importance sampling (MCMC-IS) scheme is adopted, in which a kernel density function is used to construct the IS density from the final failure population generated by MCMC. The effectiveness and robustness of the proposed framework are demonstrated through three numerical benchmarks and a suspension bridge subjected to wind and lane actions, with failure probabilities ranging from 10–5 to 10–9.
{"title":"An efficient parallelized adaptive learning framework for small failure probability analysis","authors":"Jiaguo Zhou , Guoji Xu , Qi Tao , Yongle Li , Jinsheng Wang","doi":"10.1016/j.apm.2026.116785","DOIUrl":"10.1016/j.apm.2026.116785","url":null,"abstract":"<div><div>In this study, an efficient parallelized adaptive learning framework is developed for estimating small failure probabilities. The method introduces a parallelized infilling criterion in which pseudo-learning functions, augmented by an influence factor, approximate the impact of newly selected samples on the learning-function values without requiring prior evaluations of the true performance function. An adaptive strategy is further employed to determine the optimal batch size in each iteration. Following the principle of maximizing uncertainty reduction in failure-probability estimation, an error-based learning-function allocation strategy is proposed to dynamically choose the most suitable function from a predefined library. For rare-failure scenarios, a Markov chain Monte Carlo-based importance sampling (MCMC-IS) scheme is adopted, in which a kernel density function is used to construct the IS density from the final failure population generated by MCMC. The effectiveness and robustness of the proposed framework are demonstrated through three numerical benchmarks and a suspension bridge subjected to wind and lane actions, with failure probabilities ranging from 10<sup>–5</sup> to 10<sup>–9</sup>.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"156 ","pages":"Article 116785"},"PeriodicalIF":4.4,"publicationDate":"2026-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146014793","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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