{"title":"Privacy-preserving distributed adaptive estimation for non-stationary regression data","authors":"Shuning Chen , Die Gan , Siyu Xie , Jinhu Lü","doi":"10.1016/j.sysconle.2025.106147","DOIUrl":"10.1016/j.sysconle.2025.106147","url":null,"abstract":"<div><div>Distributed adaptive estimation techniques allow agents in multi-agent networks to cooperatively estimate system parameters, but directly sharing information among agents increases the risk of privacy breaches. In this paper, we consider the problem of estimating unknown time-varying parameters in a discrete-time stochastic regression model over multi-agent networks, with a focus on protecting data privacy. We propose a privacy-preserving distributed consensus-based normalized least mean square algorithm that protects the local information of agents by obfuscating the information exchanged. The proposed algorithm achieves rigorous differential privacy for sensitive information by incorporating persistent additive noise to the exchanged estimates. Furthermore, we analyze the stability of the proposed algorithm and establish the upper bound of the estimation error without assuming the independency or stationarity of the regression data. Some simulation results are presented to validate the effectiveness of our theoretical findings.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106147"},"PeriodicalIF":2.1,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144205241","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":"Analysis of gradient descent algorithms: Discrete to continuous domains and circuit equivalents","authors":"He Hao , Daniel Silvestre , Carlos Silvestre","doi":"10.1016/j.sysconle.2025.106146","DOIUrl":"10.1016/j.sysconle.2025.106146","url":null,"abstract":"<div><div>In recent years, there have been several advances in iterative optimization algorithms seen as closed-loop control systems in discrete-time that solve unconstrained optimization problems. In this paper, we extend these advances to the continuous setting and leverage circuit equivalence to present a possible implementation of such controllers. Next, we address constrained Quadratic Programming (QP) challenges within a primal–dual framework that appears in many controller definitions. By drawing parallels between second-order ODEs and circuit dynamics, our study bridges theoretical optimization with practical electrical analogues that can be designed and implemented for problems in systems engineering, robotics, and autonomous vehicles that could benefit from the low power and latency of these optimization-based controllers.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106146"},"PeriodicalIF":2.1,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144205240","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}
Yuanxiu Teng , Li Yin , Yufeng Chen , Zhiwu Li , Xin Hu , Ahmed M. El-Sherbeeny
{"title":"Application of differential privacy in smart building systems","authors":"Yuanxiu Teng , Li Yin , Yufeng Chen , Zhiwu Li , Xin Hu , Ahmed M. El-Sherbeeny","doi":"10.1016/j.sysconle.2025.106144","DOIUrl":"10.1016/j.sysconle.2025.106144","url":null,"abstract":"<div><div>Smart buildings are an important component of urban intelligence due to their efficient information management and engineering control. The large amount of data stored and shared in smart building systems may expose the privacy of users. This work deals with initial resource configuration information protection in a probabilistic automaton framework, using state-based differential privacy. For given two adjacent initial states, a verification method for state-based differential privacy is provided to verify whether an attacker can identify with which state the system is initialized. An enforcement method is proposed to ensure that two systems with adjacent initial states can generate observations with similar probability distributions. The examples in this paper show that applying differential privacy in smart building systems can effectively protect initial state information.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106144"},"PeriodicalIF":2.1,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144196376","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":"A piecewise deterministic discrete-time model with simultaneous random jumps","authors":"Christian Ebenbauer, Raik Suttner","doi":"10.1016/j.sysconle.2025.106141","DOIUrl":"10.1016/j.sysconle.2025.106141","url":null,"abstract":"<div><div>In this paper, we propose a new stochastic discrete-time model, which is inspired by the established model of a continuous-time piecewise deterministic Markov process. The discrete-time dynamics consist of deterministic motion and random jumps. The deterministic motion is given by the direction of a drift vector field. The random jumps are triggered by a finite number of independent count processes and the corresponding state transitions are given by jump vector fields. One may think of the discrete-time system as an input-affine with drift, where the count processes act as inputs in the directions of the jump vector fields. In each time step, we allow an activation of multiple jump vector fields, which is different from the corresponding continuous-time model in which, almost surely, only one jump occurs at each time instant. The proposed discrete-time model also includes a user-prescribed step size, which allows approximations of continuous-time processes. In the limit of vanishing step size, the sample paths of the discrete-time model converge almost surely to the sample paths of a continuous-time piecewise deterministic Markov process. We also characterize mean-square exponential stability of the model under the assumption of linear drift and jump vector fields. The findings are applied to a linear discrete-time state-feedback system with random state measurements.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106141"},"PeriodicalIF":2.1,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144189711","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":"Constrained quadratic control for Markov jump systems with multiplicative noise","authors":"Siqin Liao , Zheng-Guang Wu , Yuanqing Wu","doi":"10.1016/j.sysconle.2025.106097","DOIUrl":"10.1016/j.sysconle.2025.106097","url":null,"abstract":"<div><div>In this paper, the constrained quadratic control problem of discrete-time Markov jump systems with multiplicative noise in both state and control input is studied. An asynchronous hidden Markov model with a partially known transition probability is constructed as the controller model of the system taking into account the mode mismatch between the system and the controller and the unavailable transition probability of the controller. Under the feedback control of the asynchronous controller, the conditions for the system to achieve stochastic stability are given by using the linear matrix inequality method. In addition, when the initial conditions satisfy the invariant set of constraints, the state and control sequences are guaranteed to satisfy the desirable constraints. Solving the linear matrix inequality optimization problem also yields a cost upper bound for quadratic functions. The effectiveness and superiority of the theoretical results are finally validated by numerical instances.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106097"},"PeriodicalIF":2.1,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144196375","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":"Boundary stabilization of star-shaped Saint-Venant networks with combined subcritical and supercritical channels","authors":"Amaury Hayat , Yating Hu , Peipei Shang","doi":"10.1016/j.sysconle.2025.106135","DOIUrl":"10.1016/j.sysconle.2025.106135","url":null,"abstract":"<div><div>In this work, we consider the boundary stabilization of a star-shaped water flow network composed by <span><math><mi>n</mi></math></span> (<span><math><mrow><mi>n</mi><mo>≥</mo><mn>3</mn></mrow></math></span>) channels. Each channel is modeled by Saint-Venant equations with arbitrary friction and slope. Among which, two channels are in supercritical regime, while the remaining <span><math><mrow><mi>n</mi><mo>−</mo><mn>2</mn></mrow></math></span> channels are in subcritical regime. We show that in this case, one only needs to apply a static feedback control at the inlet of a supercritical channel to achieve the exponential stability of the non-uniform steady-states in the <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> norm. The main tool we employ is the Lyapunov approach. To validate our theoretical results, a numerical illustration is also given.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106135"},"PeriodicalIF":2.1,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144177825","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":"Stochastic verification theorems for stochastic control problems of reflected FBSDEs","authors":"Lu Liu, Xinlei Hu, 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}
{"title":"Finite-time stabilization for strict-feedback nonlinear systems with impulse effects","authors":"Debao Fan, Xianfu Zhang, Zhiyu Duan, 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}
{"title":"Prescribed-time synchronization for multiweighted complex networks: A switching control scheme","authors":"Linlong Xu, 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}
{"title":"Open-loop and closed-loop saddle points of infinite dimensional linear–quadratic stochastic differential games with Poisson jumps","authors":"Xinyu Ma, Changwang Xiao, 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}