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Stochastic verification theorems for stochastic control problems of reflected FBSDEs 反射FBSDEs随机控制问题的随机验证定理
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-05-29 DOI: 10.1016/j.sysconle.2025.106137
Lu Liu, Xinlei Hu, Qingmeng Wei
{"title":"Stochastic verification theorems for stochastic control problems of reflected FBSDEs","authors":"Lu Liu,&nbsp;Xinlei Hu,&nbsp;Qingmeng Wei","doi":"10.1016/j.sysconle.2025.106137","DOIUrl":"10.1016/j.sysconle.2025.106137","url":null,"abstract":"<div><div>In this paper, the stochastic verification theorems for stochastic control problems of reflected forward–backward stochastic differential equations are studied. We carry out the work within the frameworks of classical solution and viscosity solution. The sufficient conditions of verifying the controls to be optimal are given by virtue of the classical and viscosity solutions of the associated Hamilton–Jacobi–Bellman equations with obstacles. Furthermore, we apply the theoretical results in two concrete examples. One is for the case of the classical solution, and the other is for the case of the viscosity solution.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106137"},"PeriodicalIF":2.1,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144167267","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
Finite-time stabilization for strict-feedback nonlinear systems with impulse effects 具有脉冲效应的严格反馈非线性系统的有限时间镇定
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-05-29 DOI: 10.1016/j.sysconle.2025.106139
Debao Fan, Xianfu Zhang, Zhiyu Duan, Hanfeng Li
{"title":"Finite-time stabilization for strict-feedback nonlinear systems with impulse effects","authors":"Debao Fan,&nbsp;Xianfu Zhang,&nbsp;Zhiyu Duan,&nbsp;Hanfeng Li","doi":"10.1016/j.sysconle.2025.106139","DOIUrl":"10.1016/j.sysconle.2025.106139","url":null,"abstract":"<div><div>This paper studies the finite-time stabilization (FTS) of strict-feedback nonlinear systems (SFNSs) with impulse effects. The significant system characteristics, i.e., complex impulse effects, time-varying growth rates, and higher-order nonlinearities, render existing finite-time control schemes inapplicable. To overcome these challenges, we apply a dual dynamic gain approach with a state transformation to transform the FTS problem into a problem of constructing dynamic equations. Then, the relationship between the system structure, impulse effect and settling time is delicately revealed. The results show that under the constructed controller, all the closed-loop signals are bounded, the system states converge to the origin in finite time, and the settling time is effectively estimated despite the presence of impulse effects. In addition, by enhancing the gain updating mechanism, we establish an improved finite-time control scheme for systems with low-order and high-order nonlinearities. The effectiveness of the finite-time control scheme is demonstrated by an engineering example.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106139"},"PeriodicalIF":2.1,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144167268","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
Prescribed-time synchronization for multiweighted complex networks: A switching control scheme 多加权复杂网络的规定时间同步：一种切换控制方案
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-05-27 DOI: 10.1016/j.sysconle.2025.106138
Linlong Xu, Xiwei Liu
{"title":"Prescribed-time synchronization for multiweighted complex networks: A switching control scheme","authors":"Linlong Xu,&nbsp;Xiwei Liu","doi":"10.1016/j.sysconle.2025.106138","DOIUrl":"10.1016/j.sysconle.2025.106138","url":null,"abstract":"<div><div>This letter deals with an interesting intersection phenomenon of prescribed-time stability (PTSta) for dynamical systems, and develops a novel switching control scheme to investigate prescribed-time synchronization (PTSyn) for multiweighted and directly coupled complex networks. Different from most previous works that scholars only pay attention to designing the regulation function to ensure PTSta, we aim to select various parameters and uncover the mathematical mechanism of intersecting system state curves. We rigorously prove that, if the settling time is larger than 1, then no matter what the initial value is, the intersection exists only once before the settling time; otherwise, there is no intersection. Moreover, an energy consumption evaluation function is also put forward for PTSta, whose exact value is also calculated via exponential integrals. Then, this intersection theory is applied on the PTSyn of multiweighted complex networks, which is beneficial to construct the switching control scheme or choose the optimal parameters to reduce the energy cost. The rearranging variables’ order technique is utilized to conduct the multiweighted complex networks and obtain the synchronization criterion. Finally, four simulations are presented to verify theoretical results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106138"},"PeriodicalIF":2.1,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144139423","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
Open-loop and closed-loop saddle points of infinite dimensional linear–quadratic stochastic differential games with Poisson jumps 带泊松跳的无限维线性二次随机微分对策的开环和闭环鞍点
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-05-22 DOI: 10.1016/j.sysconle.2025.106132
Xinyu Ma, Changwang Xiao, Qingxin Meng
{"title":"Open-loop and closed-loop saddle points of infinite dimensional linear–quadratic stochastic differential games with Poisson jumps","authors":"Xinyu Ma,&nbsp;Changwang Xiao,&nbsp;Qingxin Meng","doi":"10.1016/j.sysconle.2025.106132","DOIUrl":"10.1016/j.sysconle.2025.106132","url":null,"abstract":"<div><div>This paper investigates linear–quadratic stochastic zero-sum differential games with Poisson jumps (SLQGP) in infinite-dimensional spaces, establishing necessary and sufficient conditions for the existence of both open-loop and closed-loop saddle points. By employing mild solutions to address unbounded operators and Yosida approximation techniques to derive state-dual process relations, we characterize open-loop saddle points through constrained linear forward–backward stochastic evolution equations with Poisson jumps and convexity–concavity conditions. Furthermore, closed-loop saddle points are shown to be linked to the regular solution of a Riccati differential equation. To illustrate the practical applicability of our theoretical framework, we analyze a controlled stochastic heat equation with Poisson jumps, providing a concrete example that demonstrates the effectiveness of our approach.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106132"},"PeriodicalIF":2.1,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144108120","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
Impulsive stabilizing control driven by historical DoS data 历史DoS数据驱动的脉冲稳定控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-05-21 DOI: 10.1016/j.sysconle.2025.106123
Yifan Sun , Jianquan Lu , Lulu Li , Wei Xing Zheng
{"title":"Impulsive stabilizing control driven by historical DoS data","authors":"Yifan Sun ,&nbsp;Jianquan Lu ,&nbsp;Lulu Li ,&nbsp;Wei Xing Zheng","doi":"10.1016/j.sysconle.2025.106123","DOIUrl":"10.1016/j.sysconle.2025.106123","url":null,"abstract":"<div><div>In this article, we propose a new impulsive control strategy which stabilizes linear systems under denial-of-service (DoS) attacks. Unlike most existing results, our design enables the controller to learn control parameters from <em>historical</em> DoS data, with no <em>prior</em> information (e.g., duration and frequency parameters, periodicity or probabilistic distribution) of the attacker required at the design stage. We prove that our design is effective as long as the DoS attack does not persist indefinitely. We also provide a numerical example to illustrate the robustness against unexpected DoS intensification which renders an existing design ineffective. Furthermore, a biological system is provided to show practical applications of the designed controller.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106123"},"PeriodicalIF":2.1,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144099459","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
Robust cooperative output regulation for linear multi-agent systems with unknown leader and disturbances 具有未知领导和干扰的线性多智能体系统的鲁棒协同输出调节
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-05-20 DOI: 10.1016/j.sysconle.2025.106119
Tarik Enderes, Joachim Deutscher
{"title":"Robust cooperative output regulation for linear multi-agent systems with unknown leader and disturbances","authors":"Tarik Enderes,&nbsp;Joachim Deutscher","doi":"10.1016/j.sysconle.2025.106119","DOIUrl":"10.1016/j.sysconle.2025.106119","url":null,"abstract":"<div><div>The aim of this paper is to solve the robust cooperative output regulation problem for networks of LTI systems in the presence of model uncertainties and disturbances, where the dynamics of the leader and disturbances are not known to the follower agents, but only to the leader. To solve this problem, the unknown dynamics of the external signals are estimated online by a networked observer that is used to continuously update a cooperative <span><math><mi>p</mi></math></span>-copy internal model. By determining a distributed state feedback controller a cooperative adaptive state feedback regulator is obtained. Conditions for the solution of the considered cooperative output regulation problem are formulated in terms of the agent’s transfer behaviour and the communication topology. For the adaptation of the feedback gains a sample-and-hold approach is presented. Asymptotic closed-loop stability and robust cooperative output regulation are verified. A multi-agent system consisting of three uncertain LTI agents is used to validate the presented approach.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106119"},"PeriodicalIF":2.1,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144099458","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
First passage time of stochastic differential systems: Probability estimation and probability guaranteed control 随机微分系统的首次通过时间：概率估计与概率保证控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-05-16 DOI: 10.1016/j.sysconle.2025.106124
Xinyu Wu , Zidong Wang , Wenlian Lu , Bo Shen
{"title":"First passage time of stochastic differential systems: Probability estimation and probability guaranteed control","authors":"Xinyu Wu ,&nbsp;Zidong Wang ,&nbsp;Wenlian Lu ,&nbsp;Bo Shen","doi":"10.1016/j.sysconle.2025.106124","DOIUrl":"10.1016/j.sysconle.2025.106124","url":null,"abstract":"<div><div>This paper is concerned with the probability estimation and probability guaranteed control problems for the first passage time (FPT) of a class of nonlinear systems described by stochastic differential equations (SDEs) within a given boundary. Taking advantage of the comparison theorem of the SDE, a one-dimensional <em>conservatism process</em> is constructed as an upper bound on the process induced by the boundary condition, based on which the FPT probability can be calculated either analytically or numerically. Furthermore, by virtue of the stochastic analysis and the matrix inequality technique, sufficient conditions are established to ensure that such probabilities exceed certain prescribed thresholds in two different scenarios: in the <em>stay-in</em> scenario, the state trajectory is ensured to remain within a given region for a certain period, and in the <em>entry</em> scenario, the state trajectory is ensured to enter a given region within a certain period. Moreover, as an application, the output feedback controller is designed so that the FPT probability of the closed-loop system is guaranteed to exceed a specified index. Finally, numerical examples are presented to validate the effectiveness of the proposed theoretical results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106124"},"PeriodicalIF":2.1,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144070038","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
Approximate controllability of nonlocal stochastic integrodifferential system in Hilbert spaces Hilbert空间中非局部随机积分微分系统的近似可控性
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-05-16 DOI: 10.1016/j.sysconle.2025.106122
Mamadou Pathe LY , Ravikumar Kasinathan , Ramkumar Kasinathan , Dimplekumar Chalishajar , Mamadou Abdoul Diop
{"title":"Approximate controllability of nonlocal stochastic integrodifferential system in Hilbert spaces","authors":"Mamadou Pathe LY ,&nbsp;Ravikumar Kasinathan ,&nbsp;Ramkumar Kasinathan ,&nbsp;Dimplekumar Chalishajar ,&nbsp;Mamadou Abdoul Diop","doi":"10.1016/j.sysconle.2025.106122","DOIUrl":"10.1016/j.sysconle.2025.106122","url":null,"abstract":"<div><div>This project investigates the approximate controllability of a class of stochastic integrodifferential equations in Hilbert space with non-local beginning conditions. In a departure from the conventional concerns expressed in the literature, we will not consider compactness or the Lipschitz criteria concerning the nonlocal term. We use the fact that the resolvent operator is compact. We first prove the controllability of the nonlinear system using Schauder’s fixed point theorem, a method known for its robustness; as well, we also use Grimmer’s resolvent operator theory. Subsequently, we employ the reliable approximation methods and the powerful diagonal argument to determine the approximate controllability of the stochastic system. To conclude, we present an example that validates our theoretical statement.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106122"},"PeriodicalIF":2.1,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144070039","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
Dual and reduced-order observer based attack-free protocols for consensus of multi-agent systems with Markovian switching topologies 基于对偶和降阶观测器的马尔可夫交换拓扑多智能体系统一致性无攻击协议
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-05-14 DOI: 10.1016/j.sysconle.2025.106118
Tian-Yu Gao , Zhao-Yan Li , Bin Zhou
{"title":"Dual and reduced-order observer based attack-free protocols for consensus of multi-agent systems with Markovian switching topologies","authors":"Tian-Yu Gao ,&nbsp;Zhao-Yan Li ,&nbsp;Bin Zhou","doi":"10.1016/j.sysconle.2025.106118","DOIUrl":"10.1016/j.sysconle.2025.106118","url":null,"abstract":"<div><div>This paper studies the output feedback consensus problem of linear multi-agent systems with Markovian switching topologies. To avoid reconstructing the Markovian switching topologies during designing the observers or adding the state of the observers to the information exchange loop, dual and reduced-order observer based attack-free consensus protocols are proposed, which only utilizes the relative outputs of neighboring agents. It is shown that, under certain mild conditions, a necessary and sufficient condition for the solvability of the mean square consensus problem is that the union of switching topologies has a spanning tree. Finally, numerical examples are given to illustrate the effectiveness of the proposed approaches.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"202 ","pages":"Article 106118"},"PeriodicalIF":2.1,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947988","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
Asymptotic stability and strict passivity of port-Hamiltonian descriptor systems via state feedback 基于状态反馈的port- hamilton广义系统的渐近稳定性和严格无源性
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-05-12 DOI: 10.1016/j.sysconle.2025.106116
Delin Chu , Volker Mehrmann
{"title":"Asymptotic stability and strict passivity of port-Hamiltonian descriptor systems via state feedback","authors":"Delin Chu ,&nbsp;Volker Mehrmann","doi":"10.1016/j.sysconle.2025.106116","DOIUrl":"10.1016/j.sysconle.2025.106116","url":null,"abstract":"<div><div>While port-Hamiltonian descriptor systems are known to be stable and passive, they may not be asymptotically stable or strictly passive. Necessary and sufficient conditions are presented when these properties as well as the regularity and the index one property can be achieved via state feedback while preserving the port-Hamiltonian structure.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"202 ","pages":"Article 106116"},"PeriodicalIF":2.1,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143935789","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
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