{"title":"Local consensus based multi-objective distributed optimization and its application","authors":"Jieyuan Guo , Lizhen Shao , Quanxiu Lv , Shu Liang","doi":"10.1016/j.sysconle.2025.106290","DOIUrl":"10.1016/j.sysconle.2025.106290","url":null,"abstract":"<div><div>In multi-agent networks, the objectives of the agents are often in conflict with each other. Most existing distributed optimization models optimize a single performance metric, which is usually a weighted sum of individual objectives. Thus it cannot fully reflect the trade-off among the objectives. In this paper, multi-objective distributed convex optimization problems with local optimal consensus in multi-agent systems are studied. A multi-objective distributed optimization algorithm based on the <span><math><mi>ɛ</mi></math></span>-constraint method is proposed and the convergence of the algorithm is proved. By changing <span><math><mi>ɛ</mi></math></span> value, the algorithm provides the decision maker with a set of representative efficient solutions to aid decision analysis. The effectiveness of the proposed method is verified through two numerical simulation examples. Furthermore, the proposed algorithm is applied to the classification problem with distributed data storage. The experimental results show that the proposed algorithm can effectively solve large-scale multi-objective optimization problems with distributed data storage.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"207 ","pages":"Article 106290"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145521138","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}
Systems & Control LettersPub Date : 2026-01-01Epub Date: 2025-11-26DOI: 10.1016/j.sysconle.2025.106304
Hui Yu , Dongjie Peng , Fazu Zhu
{"title":"H∞ filtering for 2-D Roesser systems based on weighted try-once-discard protocol","authors":"Hui Yu , Dongjie Peng , Fazu Zhu","doi":"10.1016/j.sysconle.2025.106304","DOIUrl":"10.1016/j.sysconle.2025.106304","url":null,"abstract":"<div><div>This paper discusses the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> filtering problem for a type of two-dimensional (2-D) Roesser systems under the weighted try-once-discard (WTOD) protocol. Here, the WTOD protocol is adopted to allocate resources reasonably in a bandwidth-limited communication network. Under this protocol, each sensor measurement is assigned a predefined priority weight. At each sampling instant, only the measurement with the highest weight can be transmitted while the others are discarded. The aim of this work is to design an <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> filter to ensure the asymptotical stability and finite frequency (FF) <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> interference attenuation level for filtering error systems under the addressed communication protocol. Projection lemma and the well-known generalized Kalman–Yakubovich–Popov (GKYP) lemma are carried out to obtain a sufficient condition for the existence of an <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> filter in the presence of the exogenous input with energy bounded, and a set of linear matrix inequalities is then solved to get the filter gain. Finally, illustrative examples are provided to illustrate the usefulness of the proposed results. The contributions of this work are twofold: (1) Considering the WTOD protocol under the Roesser model, it can better reflect the practical engineering; (2) This paper provides a theoretical reference for the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> filtering problem of the Roesser model under the other communication protocols.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"207 ","pages":"Article 106304"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145618083","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}
Systems & Control LettersPub Date : 2026-01-01Epub Date: 2025-12-03DOI: 10.1016/j.sysconle.2025.106310
Xiaohua Li , Jia Xin , Haiyan Jin , Xiaofeng Lu , Wasiq Ali , Wei Liang
{"title":"A novel Gaussian filter framework for nonlinear stochastic system with one-step delayed measurement and correlated noise","authors":"Xiaohua Li , Jia Xin , Haiyan Jin , Xiaofeng Lu , Wasiq Ali , Wei Liang","doi":"10.1016/j.sysconle.2025.106310","DOIUrl":"10.1016/j.sysconle.2025.106310","url":null,"abstract":"<div><div>The standard Gaussian filter is unable to simultaneously handle the delayed measurement and correlated noise, a common issue in applications like radar/sonar target tracking, autonomous navigation, and networked control systems. To address this limitation, this paper proposes a novel Gaussian filter framework for nonlinear stochastic systems. Within the Bayesian estimation framework, an augmented state is designed to handle the delayed measurement. Furthermore, the conditional Gaussian distribution Lemma is applied to correct the predicted state under correlated noise. The proposed framework, which is a generalization of the standard Gaussian filter, proceeds through three steps: state prediction, state update, and measurement noise update. Thus, suitable numerical methods can be used to solve the high dimensional integrals in the proposed framework. Finally, a commonly used nonlinear growth model in stochastic system is used to verify the effectiveness of the proposed Gaussian filter, in which the extended Kalman filter (EKF) and the cubature Kalman filter (CKF) are used to deal with the high dimensional integrals.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"208 ","pages":"Article 106310"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145694363","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}
{"title":"Event-triggered control for Markov jump systems subject to random consecutive packet losses","authors":"Pengyu Zeng , Feiqi Deng , Ze-Hao Wu , Xiaobin Gao","doi":"10.1016/j.sysconle.2025.106294","DOIUrl":"10.1016/j.sysconle.2025.106294","url":null,"abstract":"<div><div>This paper considers the problem of event-triggered control (ETC) for Markov jump systems (MJSs) with random consecutive packet losses. According to the Bernoulli distribution of a single packet loss, consecutive packet losses are discussed and the corresponding probability distribution is provided. Considering that packet losses cause old triggered data to be used such that Zeno behavior occurs, a hybrid event-triggering scheme (HETS) including a predetermined fixed triggering lower bound is adopted. Then the influences of consecutive packet losses on triggering scheme are presented and new triggering inequalities are derived based on the number of lost packets. By resorting to Lyapunov function method, sufficient conditions including the number of lost packets and its probability distribution are developed to guarantee the stochastic stability of MJSs. Finally, the parameters of HETS and controller gains are designed and the effectiveness of the developed results is illustrated by two numerical examples.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"207 ","pages":"Article 106294"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145618081","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}
Systems & Control LettersPub Date : 2026-01-01Epub Date: 2025-11-21DOI: 10.1016/j.sysconle.2025.106293
Iasson Karafyllis , Filippos Vokos , Miroslav Krstic
{"title":"A complete inverse optimality study for a tank-liquid system","authors":"Iasson Karafyllis , Filippos Vokos , Miroslav Krstic","doi":"10.1016/j.sysconle.2025.106293","DOIUrl":"10.1016/j.sysconle.2025.106293","url":null,"abstract":"<div><div>This paper presents a complete inverse optimality study for a linearized tank-liquid system where the liquid is described by the viscous Saint-Venant model with surface tension and possible wall friction. We define an appropriate generalized solution notion for which we establish existence/uniqueness results with inputs that do not necessarily satisfy any compatibility condition as well as stabilization results with feedback laws that are constructed with the help of a Control Lyapunov Functional. We show that the proposed family of stabilizing feedback laws is optimal for a certain meaningful quadratic cost functional. Finally, we show that the optimal feedback law guarantees additional stronger stability estimates which are similar to those obtained in the case of classical solutions.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"207 ","pages":"Article 106293"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145570066","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}
Systems & Control LettersPub Date : 2026-01-01Epub Date: 2025-11-15DOI: 10.1016/j.sysconle.2025.106288
Defeng He, Dingchao Wang, Jianbin Mu
{"title":"Event-triggered robust economic MPC of constrained nonlinear systems with bounded disturbances","authors":"Defeng He, Dingchao Wang, Jianbin Mu","doi":"10.1016/j.sysconle.2025.106288","DOIUrl":"10.1016/j.sysconle.2025.106288","url":null,"abstract":"<div><div>This paper addresses the robustness and computational burden issues of economic model predictive control (MPC) for constrained nonlinear systems subject to unknown but bounded disturbances. A novel event-triggered robust economic MPC strategy is proposed for the uncertain systems within a min–max optimization framework. The controller is determined by online solving the receding horizon economic min–max optimal control problem subject to the contractive constraint of robust control objective function. Then the event-triggering mechanism on the constraint is designed to reduce the computational burden of solving the min–max optimization problem. Furthermore, sufficient conditions are established to guarantee the recursive feasibility and input-to-state stability of the robust economic MPC with respect to the disturbance. Finally, the effectiveness of the proposed strategy is validated through comparison simulations on a continuously stirred tank reactor.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"207 ","pages":"Article 106288"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145570065","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}
Systems & Control LettersPub Date : 2026-01-01Epub Date: 2025-12-04DOI: 10.1016/j.sysconle.2025.106307
Yassine El Gantouh , Yang Liu
{"title":"Well-posedness and stability of boundary delay equations","authors":"Yassine El Gantouh , Yang Liu","doi":"10.1016/j.sysconle.2025.106307","DOIUrl":"10.1016/j.sysconle.2025.106307","url":null,"abstract":"<div><div>In this paper, we introduce the notion of boundary delay equations, establishing a unified framework for analyzing linear time-invariant systems with pure time-delayed boundary conditions. We establish mild sufficient conditions for the existence, uniqueness, and positivity of solutions. Furthermore, we derive spectral criteria for exponential stability. The conditions on the perturbation generalize well-known criteria for the generation of domain perturbations of positive semigroup generators. As an application, we present necessary and sufficient conditions for the exponential stability of positive hyperbolic systems with time-delayed boundary conditions.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"208 ","pages":"Article 106307"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145694364","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}
Systems & Control LettersPub Date : 2026-01-01Epub Date: 2025-12-24DOI: 10.1016/j.sysconle.2025.106335
Éva Gyurkovics , Tibor Takács
{"title":"Pareto–Nash guaranteed cost solution for infinite horizon multiobjective non-cooperative discrete-time uncertain/nonlinear dynamic games","authors":"Éva Gyurkovics , Tibor Takács","doi":"10.1016/j.sysconle.2025.106335","DOIUrl":"10.1016/j.sysconle.2025.106335","url":null,"abstract":"<div><div>This paper investigates infinite horizon, discrete-time, non-cooperative dynamic games, where players have vector-valued payoff functions. The uncertainties of the system dynamics are modeled by deterministic functions. A new Pareto–Nash equilibrium concept is introduced, avoiding the often-applied method of scalarizing the players’ objective functions. Due to uncertainties, we define cost guaranteeing strategies, which are given in state feedback form. In the general nonlinear case, the sufficient condition of cost-guaranteeing strategies is given by Hamilton–Jacobi–Isaacs type inequalities. The result is specified for quadratic-linear games, where the uncertainties/nonlinearities are modeled by a common quadratically constrained function. The monetary–fiscal game illustrates the results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"208 ","pages":"Article 106335"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145840076","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}
Systems & Control LettersPub Date : 2026-01-01Epub Date: 2026-01-03DOI: 10.1016/j.sysconle.2025.106332
Haoshu Cheng , Yamin Yan , Tao Liu
{"title":"Bearing-based formation control of higher-order multi-agent systems over periodic switching graphs","authors":"Haoshu Cheng , Yamin Yan , Tao Liu","doi":"10.1016/j.sysconle.2025.106332","DOIUrl":"10.1016/j.sysconle.2025.106332","url":null,"abstract":"<div><div>Most studies on bearing-based formation control have been concerned with single-integrator or double-integrator multi-agent systems over static graphs. This paper extends the research to higher-order multi-agent systems over periodic switching graphs, allowing the interactions among agents to change periodically. The trajectories of leaders can take the form of trigonometric functions, polynomial functions, or their finite combinations, thereby including step and ramp functions as special cases. The followers are modeled as higher-order integrators, hence including single and double integrators as special cases. To determine the desired positions for the followers, we develop a bearing-based localization technique specifically for periodic switching graphs. Then, we propose a switched bearing-based distributed control law to stabilize the closed-loop system and drive the formation toward the target formation. Moreover, to avoid collisions during the formation evolution, we derive a sufficient condition based on the initial formation. Finally, we present a numerical example to illustrate the effectiveness of our design.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"208 ","pages":"Article 106332"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884467","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}
Systems & Control LettersPub Date : 2026-01-01Epub Date: 2026-01-02DOI: 10.1016/j.sysconle.2025.106341
Pushkal Purohit, Anoop Jain
{"title":"Passivity-based attack identification and mitigation via event-triggered observer feedback","authors":"Pushkal Purohit, Anoop Jain","doi":"10.1016/j.sysconle.2025.106341","DOIUrl":"10.1016/j.sysconle.2025.106341","url":null,"abstract":"<div><div>This paper addresses the problem of output consensus in linear passive multi-agent systems under the False Data Injection (FDI) attacks. Our formulation relies on an event-based cryptographic authentication scheme for sensor integrity and considers FDI attacks at the actuator end, inspired by their practical nature and usages. For secure consensus, we propose (i) a passivity-based approach for detecting FDI attacks on the system and (ii) a Zeno-free event-triggered observer-based switching controller, which switches between the <em>normal</em> and the <em>defense</em> modes following an attack detection. We show that the closed-loop system achieves practical consensus under the controller’s action in the defense mode. Two case studies are provided to support the theoretical findings.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"208 ","pages":"Article 106341"},"PeriodicalIF":2.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884468","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}