Pub Date : 2026-01-24DOI: 10.1016/j.ejcon.2026.101463
Xiaoxuan Jiao , Ji Zhao , Ming Chen , Libing Wu
This article proposes a novel fixed-time tracking control strategy for strict-feedback nonlinear systems with prescribed performance constraints, which specifically removes the strict restrictions on the initial states. First, a new mapping function is introduced for the first time, which can flexibly adjust parameters to accommodate diverse system dynamics and performance requirements. Second, with the aid of the mapping function, a fixed-time prescribed performance controller without initial condition constraints is constructed based on fixed-time control and fixed-time filtering techniques. Specifically, the proposed control algorithm ensures that the tracking error, regardless of its initial value, converges to the prescribed boundary within a fixed time. Moreover, all signals in the closed-loop system remain bounded, thereby guaranteeing the prescribed performance of the controlled system. Finally, two simulations are presented to demonstrate the effectiveness and feasibility of the proposed control algorithm.
{"title":"Command filter-based adaptive fixed-time prescribed performance control for nonlinear systems without initial condition constraints","authors":"Xiaoxuan Jiao , Ji Zhao , Ming Chen , Libing Wu","doi":"10.1016/j.ejcon.2026.101463","DOIUrl":"10.1016/j.ejcon.2026.101463","url":null,"abstract":"<div><div>This article proposes a novel fixed-time tracking control strategy for strict-feedback nonlinear systems with prescribed performance constraints, which specifically removes the strict restrictions on the initial states. First, a new mapping function is introduced for the first time, which can flexibly adjust parameters to accommodate diverse system dynamics and performance requirements. Second, with the aid of the mapping function, a fixed-time prescribed performance controller without initial condition constraints is constructed based on fixed-time control and fixed-time filtering techniques. Specifically, the proposed control algorithm ensures that the tracking error, regardless of its initial value, converges to the prescribed boundary within a fixed time. Moreover, all signals in the closed-loop system remain bounded, thereby guaranteeing the prescribed performance of the controlled system. Finally, two simulations are presented to demonstrate the effectiveness and feasibility of the proposed control algorithm.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"88 ","pages":"Article 101463"},"PeriodicalIF":2.6,"publicationDate":"2026-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146079301","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}
Pub Date : 2026-01-17DOI: 10.1016/j.ejcon.2026.101464
Subhasish Mahapatra , Atanu Panda , Siddhartha Vadapalli , Rames C. Panda
The hydrodynamics of an autonomous underwater vehicle (AUV) is an extremely intricate and multidimensional problem. The dynamic interaction between orientation change and the consequent shift in hydrodynamic forces exerts substantial effects on AUV’s stabilization and steering efficacy. Furthermore, a malfunctioning sensor/actuator leads to unexpected outcomes when executing steering maneuvers. A nonlinear model predictive control (NMPC) scheme incorporated with the observer was proposed in this work for the AUV to perform steering maneuvers. A two-stage high-degree cubature information filter is aimed at accurately tracking sensor/actuator faultiness, undetermined hydrodynamical parameters, and uncertain perturbations. Using the observed AUV state/parameters, a predictive control strategy for the anti-disturbance model has been devised. This research has extensively examined multiple types of real-world situations involving the impact of ocean currents, parametric sensitivity, and repercussions of sensor/actuator faults. A variety of indices, including mean square deviation (improvement of 5.36%) and root mean square error (improvement of 6.29%), are assessed using the proposed control framework and contrasted with the standard form of nonlinear model predictive controller to identify its efficacy and acceptance on the depth tracking scheme.
{"title":"Multi-stage cubature information filter based nonlinear model predictive scheme for steering control of an autonomous underwater vehicle under sensor/actuator failure","authors":"Subhasish Mahapatra , Atanu Panda , Siddhartha Vadapalli , Rames C. Panda","doi":"10.1016/j.ejcon.2026.101464","DOIUrl":"10.1016/j.ejcon.2026.101464","url":null,"abstract":"<div><div>The hydrodynamics of an autonomous underwater vehicle (AUV) is an extremely intricate and multidimensional problem. The dynamic interaction between orientation change and the consequent shift in hydrodynamic forces exerts substantial effects on AUV’s stabilization and steering efficacy. Furthermore, a malfunctioning sensor/actuator leads to unexpected outcomes when executing steering maneuvers. A nonlinear model predictive control (NMPC) scheme incorporated with the observer was proposed in this work for the AUV to perform steering maneuvers. A two-stage high-degree cubature information filter is aimed at accurately tracking sensor/actuator faultiness, undetermined hydrodynamical parameters, and uncertain perturbations. Using the observed AUV state/parameters, a predictive control strategy for the anti-disturbance model has been devised. This research has extensively examined multiple types of real-world situations involving the impact of ocean currents, parametric sensitivity, and repercussions of sensor/actuator faults. A variety of indices, including mean square deviation (improvement of 5.36%) and root mean square error (improvement of 6.29%), are assessed using the proposed control framework and contrasted with the standard form of nonlinear model predictive controller to identify its efficacy and acceptance on the depth tracking scheme.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"88 ","pages":"Article 101464"},"PeriodicalIF":2.6,"publicationDate":"2026-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146079374","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}
Pub Date : 2026-01-17DOI: 10.1016/j.ejcon.2026.101465
Shaoquan Wen, Lin He
This paper investigates the bipartite time-varying formation control problem for multi-agent systems (MASs) under aperiodic denial-of-service (DoS) attacks and false data injection attacks (FDIAs). To address this problem, a resilient distributed dynamic event-triggered output feedback control strategy based on quantized communication is proposed. Using Lyapunov stability theory, sufficient conditions are proven for this control strategy to achieve formation tracking, and Zeno behavior is avoided. Finally, the effectiveness of the proposed method is verified through numerical simulations.
{"title":"Resilient distributed dynamic event-triggered bipartite time-varying formation control for multi-agent systems with quantized communication under multiple cyber attacks","authors":"Shaoquan Wen, Lin He","doi":"10.1016/j.ejcon.2026.101465","DOIUrl":"10.1016/j.ejcon.2026.101465","url":null,"abstract":"<div><div>This paper investigates the bipartite time-varying formation control problem for multi-agent systems (MASs) under aperiodic denial-of-service (DoS) attacks and false data injection attacks (FDIAs). To address this problem, a resilient distributed dynamic event-triggered output feedback control strategy based on quantized communication is proposed. Using Lyapunov stability theory, sufficient conditions are proven for this control strategy to achieve formation tracking, and Zeno behavior is avoided. Finally, the effectiveness of the proposed method is verified through numerical simulations.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"88 ","pages":"Article 101465"},"PeriodicalIF":2.6,"publicationDate":"2026-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038951","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}
Pub Date : 2026-01-11DOI: 10.1016/j.ejcon.2026.101448
Mingde Liu , Liang Zhang , Li Ma , Ning Zhao , Yongchao Liu
This paper focuses on reachable set control for nonlinear systems. In response to the problems of traditional reachable set research methods in dealing with nonlinear systems, such as the high consumption of computational resources and difficulty in dealing with unknown parameters and nonlinear terms. An adaptive reachable set controller is devised in this paper to address the nonlinear effects efficiently. In addition, to reduce unnecessary consumption of communication resources, an adaptive event-triggered strategy is proposed. Meanwhile, this paper discretizes the control law to avoid the complexity explosion problem. Finally, the correctness of the theory is verified through numerical examples.
{"title":"Adaptive event-triggered control of reachable set for nonlinear systems","authors":"Mingde Liu , Liang Zhang , Li Ma , Ning Zhao , Yongchao Liu","doi":"10.1016/j.ejcon.2026.101448","DOIUrl":"10.1016/j.ejcon.2026.101448","url":null,"abstract":"<div><div>This paper focuses on reachable set control for nonlinear systems. In response to the problems of traditional reachable set research methods in dealing with nonlinear systems, such as the high consumption of computational resources and difficulty in dealing with unknown parameters and nonlinear terms. An adaptive reachable set controller is devised in this paper to address the nonlinear effects efficiently. In addition, to reduce unnecessary consumption of communication resources, an adaptive event-triggered strategy is proposed. Meanwhile, this paper discretizes the control law to avoid the complexity explosion problem. Finally, the correctness of the theory is verified through numerical examples.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"88 ","pages":"Article 101448"},"PeriodicalIF":2.6,"publicationDate":"2026-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145980920","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}
Pub Date : 2026-01-05DOI: 10.1016/j.ejcon.2025.101446
Dominika Machowska , Andrzej Nowakowski
The paper presents an analysis of an active car suspension model that incorporates time-varying delays in information transmission. To achieve the dual objectives of maximizing passenger safety and comfort, the paper proposes the use of game theory tools, which is a novel approach to this model. The resulting problem leads to the introduction of differential games with time-varying delays in states and strategies. The paper formulates conditions for verifying whether a given strategy profile constitutes an open-loop Nash equilibrium. The verification theorem is then used to develop a numerical algorithm to determine the Nash equilibria in a finite number of steps. The numerical simulations demonstrate the effectiveness of the game theory approach in finding a safer and more comfortable vehicle.
{"title":"Advancing active vehicle suspension control: a differential game approach with time-varying delays","authors":"Dominika Machowska , Andrzej Nowakowski","doi":"10.1016/j.ejcon.2025.101446","DOIUrl":"10.1016/j.ejcon.2025.101446","url":null,"abstract":"<div><div>The paper presents an analysis of an active car suspension model that incorporates time-varying delays in information transmission. To achieve the dual objectives of maximizing passenger safety and comfort, the paper proposes the use of game theory tools, which is a novel approach to this model. The resulting problem leads to the introduction of differential games with time-varying delays in states and strategies. The paper formulates conditions for verifying whether a given strategy profile constitutes an open-loop Nash equilibrium. The verification theorem is then used to develop a numerical algorithm to determine the Nash equilibria in a finite number of steps. The numerical simulations demonstrate the effectiveness of the game theory approach in finding a safer and more comfortable vehicle.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"88 ","pages":"Article 101446"},"PeriodicalIF":2.6,"publicationDate":"2026-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145980921","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}
Pub Date : 2026-01-03DOI: 10.1016/j.ejcon.2025.101441
Jin Jin , Jiuan Gao , Miao Zhao , Jianxiang Xi , Ning Cai
The adversarial multi-quadrotor system seriously threatens the safety of civilian and military facilities, but the research about the countermeasure of a multi-quadrotor system has less results and is still open. This paper investigates directional eviction for a multi-quadrotor system with dual leaders by the state deception attack, where dual leaders are usually applied to enhance the robustness against the leader loss. Based on a canonical and common strategy for a multi-quadrotor system to realize distributed formation tracking, a new directional eviction strategy is proposed to make multiple quadrotors fly away from a protected objective instead of destroying them. Then, a sufficient condition for a multi-quadrotor system to be directionally evicted is proposed, where a constraint on a fictitious formation center function is only required, but no constraint about the communication topology and the intrinsic dynamics of a quadrotor is needed. Moreover, the motion trajectory of the attacked leader is determined and it is shown that the whole formation is separated into two parts, where all quadrotors except the attacked leader maintain the original formation and fly along the trajectory of the fictitious formation center function and the attacked leader may fly away from the other quadrotors. Finally, a flight experiment is implemented to directionally evict a multi-quadrotor system with two leaders and three following quadrotors.
{"title":"Directional eviction for multi-quadrotor system with dual leaders by state deception strategy","authors":"Jin Jin , Jiuan Gao , Miao Zhao , Jianxiang Xi , Ning Cai","doi":"10.1016/j.ejcon.2025.101441","DOIUrl":"10.1016/j.ejcon.2025.101441","url":null,"abstract":"<div><div>The adversarial multi-quadrotor system seriously threatens the safety of civilian and military facilities, but the research about the countermeasure of a multi-quadrotor system has less results and is still open. This paper investigates directional eviction for a multi-quadrotor system with dual leaders by the state deception attack, where dual leaders are usually applied to enhance the robustness against the leader loss. Based on a canonical and common strategy for a multi-quadrotor system to realize distributed formation tracking, a new directional eviction strategy is proposed to make multiple quadrotors fly away from a protected objective instead of destroying them. Then, a sufficient condition for a multi-quadrotor system to be directionally evicted is proposed, where a constraint on a fictitious formation center function is only required, but no constraint about the communication topology and the intrinsic dynamics of a quadrotor is needed. Moreover, the motion trajectory of the attacked leader is determined and it is shown that the whole formation is separated into two parts, where all quadrotors except the attacked leader maintain the original formation and fly along the trajectory of the fictitious formation center function and the attacked leader may fly away from the other quadrotors. Finally, a flight experiment is implemented to directionally evict a multi-quadrotor system with two leaders and three following quadrotors.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"88 ","pages":"Article 101441"},"PeriodicalIF":2.6,"publicationDate":"2026-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145928778","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}
Pub Date : 2026-01-01DOI: 10.1016/j.ejcon.2025.101445
Kehui Ma , Sujuan Shao , Tiezhu Zhang , Liqun Lu , Lin Li , Chuanbo Ren
Conventional fixed time-delay control (FTDC) is limited by its design, which requires compromise optimization across the entire frequency domain, resulting in constrained overall performance under broadband road excitations. This study reveals that vibration reduction performance can be significantly enhanced if the time-delay control parameters adapt in real-time to varying excitation frequencies. Based on this finding, a novel frequency domain optimized Time-Varying Delay Control (TVDC) strategy is proposed for preview suspension systems. The proposed framework utilizes the Short-Time Fourier Transform (STFT) to perform time-frequency analysis on the predicted road profile within the preview horizon, thereby extracting dominant frequency components. To reduce real-time computational complexity, an equivalent frequency band is introduced to represent the main excitation, and Particle Swarm Optimization (PSO) is employed to dynamically optimize the control parameters within this band. Experiments conducted on a proportionally scaled-down suspension model show that, compared to FTDC under Class C road excitation, the TVDC strategy reduces the root mean square (RMS) values of vehicle body acceleration, velocity, and displacement by 10.9%, 8.2%, and 20.48%, respectively. This preliminarily validates the effectiveness of the proposed method, providing a preliminary foundation for future real-vehicle applications.
{"title":"A time-varying delay control method based on equivalent frequency band for preview suspension systems","authors":"Kehui Ma , Sujuan Shao , Tiezhu Zhang , Liqun Lu , Lin Li , Chuanbo Ren","doi":"10.1016/j.ejcon.2025.101445","DOIUrl":"10.1016/j.ejcon.2025.101445","url":null,"abstract":"<div><div>Conventional fixed time-delay control (FTDC) is limited by its design, which requires compromise optimization across the entire frequency domain, resulting in constrained overall performance under broadband road excitations. This study reveals that vibration reduction performance can be significantly enhanced if the time-delay control parameters adapt in real-time to varying excitation frequencies. Based on this finding, a novel frequency domain optimized Time-Varying Delay Control (TVDC) strategy is proposed for preview suspension systems. The proposed framework utilizes the Short-Time Fourier Transform (STFT) to perform time-frequency analysis on the predicted road profile within the preview horizon, thereby extracting dominant frequency components. To reduce real-time computational complexity, an equivalent frequency band is introduced to represent the main excitation, and Particle Swarm Optimization (PSO) is employed to dynamically optimize the control parameters within this band. Experiments conducted on a proportionally scaled-down suspension model show that, compared to FTDC under Class C road excitation, the TVDC strategy reduces the root mean square (RMS) values of vehicle body acceleration, velocity, and displacement by 10.9%, 8.2%, and 20.48%, respectively. This preliminarily validates the effectiveness of the proposed method, providing a preliminary foundation for future real-vehicle applications.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101445"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884582","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}
Pub Date : 2026-01-01DOI: 10.1016/j.ejcon.2025.101387
Michael Hertneck, David Meister, Frank Allgöwer
The defining characteristic of event-based control is that feedback loops are only closed when indicated by a triggering condition that takes recent information about the system into account. This stands in contrast to periodic control where the feedback loop is closed periodically. Benefits of event-based control arise when sampling comes at a cost, which occurs, e.g., for Networked Control Systems or in other setups with resource constraints. A rapidly growing number of publications deals with event-based control. Nevertheless, some fundamental questions about event-based control are still unsolved. In this article, we provide an overview of current research trends in event-based control. We focus on results that aim for a better understanding of effects that occur in feedback loops with event-based control. Based on this summary, we identify important open directions for future research.
{"title":"Current trends and future directions in event-based control","authors":"Michael Hertneck, David Meister, Frank Allgöwer","doi":"10.1016/j.ejcon.2025.101387","DOIUrl":"10.1016/j.ejcon.2025.101387","url":null,"abstract":"<div><div>The defining characteristic of event-based control is that feedback loops are only closed when indicated by a triggering condition that takes recent information about the system into account. This stands in contrast to periodic control where the feedback loop is closed periodically. Benefits of event-based control arise when sampling comes at a cost, which occurs, e.g., for Networked Control Systems or in other setups with resource constraints. A rapidly growing number of publications deals with event-based control. Nevertheless, some fundamental questions about event-based control are still unsolved. In this article, we provide an overview of current research trends in event-based control. We focus on results that aim for a better understanding of effects that occur in feedback loops with event-based control. Based on this summary, we identify important open directions for future research.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101387"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145977322","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}
This paper addresses two significant problems for a class exothermal plug flow tubular reactors, whose model is governed by nonlinear partial differential equations (PDEs), with temperature and reactant concentration as the state variables. The first problem tackled is the design of an exponential Luenberger-like observer specifically tailored for this class of systems. The second problem pertains to tracking pre-specified profiles of temperature and reactant concentration while considering input constraints. To overcome this, a Luenberger-like observer is used. The paper concludes by demonstrating that the chemical process states asymptotically approach balls with arbitrary radii, centered at the desired profiles. Numerical simulations are provided to showcase the effectiveness of the proposed approach.
{"title":"Observer-based adaptive tracking control for a convection-reaction PDEs system with input constraints","authors":"Abdellaziz Binid , Bouchra Abouzaid , Nadia Beniich , Ilyasse Aksikas","doi":"10.1016/j.ejcon.2025.101443","DOIUrl":"10.1016/j.ejcon.2025.101443","url":null,"abstract":"<div><div>This paper addresses two significant problems for a class exothermal plug flow tubular reactors, whose model is governed by nonlinear partial differential equations (PDEs), with temperature and reactant concentration as the state variables. The first problem tackled is the design of an exponential Luenberger-like observer specifically tailored for this class of systems. The second problem pertains to tracking pre-specified profiles of temperature and reactant concentration while considering input constraints. To overcome this, a Luenberger-like observer is used. The paper concludes by demonstrating that the chemical process states asymptotically approach balls with arbitrary radii, centered at the desired profiles. Numerical simulations are provided to showcase the effectiveness of the proposed approach.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101443"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884581","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}
Pub Date : 2026-01-01DOI: 10.1016/j.ejcon.2025.101447
Yuting Hu, Jinbiao Wu, Xiaoyu Ye
In this paper, we are concerned with optimal stochastic control problems under model uncertainty. The problems are represented by stochastic differential games of fully coupled nonlinear mean-field forward-backward stochastic differential equations (MF-FBSDEs) with two players. We rewrite the model uncertainty as ambiguity about the law of the state X(t) at time t. We give stochastic maximum principles for these problems. Moreover, we extend our approach to infinite horizon stochastic differential games. As an application, we apply these results to a zero-sum linear quadratic stochastic differential game and obtain a saddle point for the game.
{"title":"Fully coupled mean-field forward-backward stochastic differential games under model uncertainty","authors":"Yuting Hu, Jinbiao Wu, Xiaoyu Ye","doi":"10.1016/j.ejcon.2025.101447","DOIUrl":"10.1016/j.ejcon.2025.101447","url":null,"abstract":"<div><div>In this paper, we are concerned with optimal stochastic control problems under model uncertainty. The problems are represented by stochastic differential games of fully coupled nonlinear mean-field forward-backward stochastic differential equations (MF-FBSDEs) with two players. We rewrite the model uncertainty as ambiguity about the law <span><math><mrow><mi>L</mi><mo>(</mo><mi>X</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>)</mo></mrow></math></span> of the state <em>X</em>(<em>t</em>) at time <em>t</em>. We give stochastic maximum principles for these problems. Moreover, we extend our approach to infinite horizon stochastic differential games. As an application, we apply these results to a zero-sum linear quadratic stochastic differential game and obtain a saddle point for the game.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101447"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145926233","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}
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