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Finite dimensional observer design for a class of ODE-PDE systems with delayed coupling 一类时滞耦合ODE-PDE系统的有限维观测器设计
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-08-11 DOI: 10.1016/j.sysconle.2025.106213
Tarek Ahmed-Ali , Filippo Cacace
{"title":"Finite dimensional observer design for a class of ODE-PDE systems with delayed coupling","authors":"Tarek Ahmed-Ali ,&nbsp;Filippo Cacace","doi":"10.1016/j.sysconle.2025.106213","DOIUrl":"10.1016/j.sysconle.2025.106213","url":null,"abstract":"<div><div>We study the state estimation problem for a ODE-PDE delayed cascaded coupling. The delayed output of a nonlinear system in triangular form is the boundary condition of a 1-D diffusion PDE at one side and the available measurement is taken at the opposite side. We propose a finite-dimensional observer and prove that under reasonable hypotheses the error can be made arbitrarily small by increasing the size of the observer even when the diffusion PDE is not stable.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106213"},"PeriodicalIF":2.5,"publicationDate":"2025-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144810391","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
A gradient descent-ascent method for continuous-time risk-averse optimal control 连续时间风险规避最优控制的梯度下降-上升方法
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-08-02 DOI: 10.1016/j.sysconle.2025.106186
Gabriel Velho, Jean Auriol, Riccardo Bonalli
{"title":"A gradient descent-ascent method for continuous-time risk-averse optimal control","authors":"Gabriel Velho,&nbsp;Jean Auriol,&nbsp;Riccardo Bonalli","doi":"10.1016/j.sysconle.2025.106186","DOIUrl":"10.1016/j.sysconle.2025.106186","url":null,"abstract":"<div><div>In this paper, we consider continuous-time stochastic optimal control problems where the cost is evaluated through a coherent risk measure. We provide an explicit gradient descent-ascent algorithm that applies to problems subject to non-linear stochastic differential equations. More specifically, we leverage duality properties of coherent risk measures to relax the problem via a smooth min–max reformulation which induces artificial strong concavity in the max subproblem. We then formulate necessary optimality conditions for this relaxed problem, which we leverage to prove convergence of the gradient descent-ascent algorithm to candidate solutions of the original problem. Finally, we showcase the efficiency of our algorithm through numerical simulations involving trajectory tracking problems and highlight the benefit of favoring risk measures over classical expectations.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106186"},"PeriodicalIF":2.5,"publicationDate":"2025-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144757095","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
Stability and stabilization of discrete-time linear time-varying systems via Lyapunov difference equations and inequalities 离散线性时变系统的Lyapunov差分方程与不等式的稳定性与稳定化
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-07-30 DOI: 10.1016/j.sysconle.2025.106203
Jiacheng Dong, Bin Zhou
{"title":"Stability and stabilization of discrete-time linear time-varying systems via Lyapunov difference equations and inequalities","authors":"Jiacheng Dong,&nbsp;Bin Zhou","doi":"10.1016/j.sysconle.2025.106203","DOIUrl":"10.1016/j.sysconle.2025.106203","url":null,"abstract":"<div><div>In this paper, the stability and stabilization issues of discrete-time linear time-varying (DLTV) systems are investigated. The recently proposed concepts of stability for continuous linear time-varying (LTV) systems are extended to DLTV systems, including uniform upper boundedness (by an exponential function) and uniform lower boundedness (by an exponential function). For the newly proposed concepts of stability, techniques for testing stability are developed. First, utilizing the scalar stable function, the Lyapunov difference inequalities (LDIs) provide both sufficient and necessary conditions for the new concepts of stability. Second, sufficient and necessary criteria based on Lyapunov difference equations are presented. Third, by introducing uniform complete controllability and uniform complete reconstructibility, the Lyapunov equations whose matrix Q is degenerated are further examined. Finally, a method for designing state feedback controller is presented.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106203"},"PeriodicalIF":2.5,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144723926","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
A smooth Conley–Lyapunov function for hybrid inclusions on Rn Rn上杂化夹杂的光滑Conley-Lyapunov函数
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-07-29 DOI: 10.1016/j.sysconle.2025.106204
Rafal K. Goebel , Andrew R. Teel
{"title":"A smooth Conley–Lyapunov function for hybrid inclusions on Rn","authors":"Rafal K. Goebel ,&nbsp;Andrew R. Teel","doi":"10.1016/j.sysconle.2025.106204","DOIUrl":"10.1016/j.sysconle.2025.106204","url":null,"abstract":"<div><div>In the setting of a hybrid inclusion, smooth Conley–Lyapunov functions are constructed on a compact invariant set and on the basin of attraction of an attractor. The strict decrease of these functions outside of the chain-recurrent parts of the invariant set or the attractor is characterized by Lyapunov inequalities. An application to an Euler-like approximation of a hybrid inclusion is given.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106204"},"PeriodicalIF":2.5,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144721320","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
CIL: Cyber security index level of cyber-physical systems: A robust stochastic game approach using MITRE ATT&CK framework 网络物理系统的网络安全指数水平:使用MITRE攻击和ck框架的稳健随机博弈方法
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-07-26 DOI: 10.1016/j.sysconle.2025.106207
Zahra Azimi, Ahmad Afshar
{"title":"CIL: Cyber security index level of cyber-physical systems: A robust stochastic game approach using MITRE ATT&CK framework","authors":"Zahra Azimi,&nbsp;Ahmad Afshar","doi":"10.1016/j.sysconle.2025.106207","DOIUrl":"10.1016/j.sysconle.2025.106207","url":null,"abstract":"<div><div>This paper addresses the challenge of cyber security assessment in interdependent cyber-physical systems (CPS) under model uncertainty and partial observability by developing a Hybrid Zero-Sum Multi-Stage Robust Stochastic-Bayesian (HZMRS) game model. In the cyber layer, HZMRS models attack infiltration dynamics by incorporating tactics and techniques from the ICS MITRE ATT&amp;CK framework, thereby systematically enhancing the modeling of adversarial progression. For the power network as the physical layer, HZMRS employs the Transient Energy Function (TEF) approach, instead of linear approximations and small-signal stability criteria, to effectively capture the severe transient disturbances triggered by DoS attacks. To solve the HZMRS game, we propose a Robust Accelerated Value Iteration (RAVI) algorithm that ensures robust performance against worst-case transition probabilities and employs prioritized sweeping to accelerate convergence. We also provide a proof of convergence for this algorithm. Unlike classic algorithms, RAVI is designed to handle model uncertainties arising from zero-day vulnerabilities and incomplete information about attacker capabilities. Based on the outcome of the HZMRS, we introduce a novel metric called <em>Cyber Security Index Level</em> (<span><math><mrow><mi>C</mi><mi>I</mi><mi>L</mi></mrow></math></span>), which quantifies the probability of successful physical layer intrusion after breaching the cyber layer. The proposed model is validated through simulations conducted on the IEEE 9-bus power network, considering an attack scenario adapted from the BlackEnergy v3 malware. Comparative results show that RAVI achieves successful convergence under uncertainty, and the derived security metrics offer improved reliability and practical relevance for real-world CPS applications.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106207"},"PeriodicalIF":2.1,"publicationDate":"2025-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144711583","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
PDE-based deployment of multi-agent systems with enhanced leader communication and Wentzell boundary control 基于pde的多智能体系统部署,增强了领导者通信和Wentzell边界控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-07-25 DOI: 10.1016/j.sysconle.2025.106201
Shubham Khansili, Anton Selivanov
{"title":"PDE-based deployment of multi-agent systems with enhanced leader communication and Wentzell boundary control","authors":"Shubham Khansili,&nbsp;Anton Selivanov","doi":"10.1016/j.sysconle.2025.106201","DOIUrl":"10.1016/j.sysconle.2025.106201","url":null,"abstract":"<div><div>We present a deployment strategy for a multi-agent system (MAS) with a chain topology, where leader agents communicate and direct the system using controllers designed from a Partial Differential Equation (PDE) model. Both the leader and follower agents implement a consensus protocol, resulting in a system that can be modeled by a semilinear parabolic PDE. Based on this model, we design global controllers that utilize the information available to the leader agents, who can assess their deviation from the target position. By enhancing communication between the leaders, we achieve more accurate state estimation, which improves the performance of the global controllers. Additionally, we introduce a Wentzell-type boundary control, enabling the boundary agents to balance swarm cohesion with the deployment objective. We establish sufficient conditions for successful deployment, expressed as Linear Matrix Inequalities (LMIs). Numerical simulations show that the proposed global controllers outperform those used by non-communicating leaders.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106201"},"PeriodicalIF":2.1,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144702954","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
On local stability analysis for Persidskii systems with power nonlinearities 具有功率非线性的Persidskii系统的局部稳定性分析
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-07-23 DOI: 10.1016/j.sysconle.2025.106205
Alexander Aleksandrov , Denis Efimov
{"title":"On local stability analysis for Persidskii systems with power nonlinearities","authors":"Alexander Aleksandrov ,&nbsp;Denis Efimov","doi":"10.1016/j.sysconle.2025.106205","DOIUrl":"10.1016/j.sysconle.2025.106205","url":null,"abstract":"<div><div>Considering a conventional Persidskii system with power nonlinearities, an approach is presented for a local Lyapunov function design, whose applicability conditions are less restrictive than for the standard global Lyapunov function, and which provides a tighter bounds on the convergence rates for the state variables. Using the singular perturbation theory, these applicability conditions are further refined. The theoretical findings are illustrated by simulations for several examples.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106205"},"PeriodicalIF":2.1,"publicationDate":"2025-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144687200","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
A fast augmented Lagrangian framework and its application 一个快速增广拉格朗日框架及其应用
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-07-23 DOI: 10.1016/j.sysconle.2025.106196
Jing Chen , Lianyuan Cheng , Min Gan , Quanmin Zhu
{"title":"A fast augmented Lagrangian framework and its application","authors":"Jing Chen ,&nbsp;Lianyuan Cheng ,&nbsp;Min Gan ,&nbsp;Quanmin Zhu","doi":"10.1016/j.sysconle.2025.106196","DOIUrl":"10.1016/j.sysconle.2025.106196","url":null,"abstract":"<div><div>This letter investigates a fast augmented Lagrangian framework applicable to constrained convex optimization problems. By integrating the Aitken acceleration technique and the multi-direction acceleration technique, this framework enhances the convergence rate of the traditional augmented Lagrangian method and adapts to different types of constrained convex optimization problems on a case-by-case basis: (1) for problems with analytical solutions, the Aitken method is more suitable; (2) for problems without analytical solutions, the multi-direction method serves as a viable alternative. Furthermore, the proposed fast augmented acceleration technique is extended to system identification and the Alternating Direction Method of Multipliers (ADMM). The effectiveness of the framework is validated through convergence analysis and numerical experiments.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106196"},"PeriodicalIF":2.1,"publicationDate":"2025-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144687197","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
Maximum principle for discrete-time control systems driven by fractional noises and related backward stochastic difference equations 分数阶噪声驱动的离散时间控制系统的极大值原理及相关的倒向随机差分方程
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-07-21 DOI: 10.1016/j.sysconle.2025.106202
Yuecai Han , Yuhang Li
{"title":"Maximum principle for discrete-time control systems driven by fractional noises and related backward stochastic difference equations","authors":"Yuecai Han ,&nbsp;Yuhang Li","doi":"10.1016/j.sysconle.2025.106202","DOIUrl":"10.1016/j.sysconle.2025.106202","url":null,"abstract":"<div><div>In this paper, motivated by stochastic control for systems driven by fractional Brownian motion and the applications for control problem with “colored noises” in real-world, the stochastic optimal control for discrete-time systems driven by fractional noises is studied. A stochastic maximum principle is obtained by introducing a backward stochastic difference equation contains both fractional noises and the “underlying” white noises. The solution of the backward stochastic difference equations is also investigated. As an application, the linear quadratic case is considered and an optimal investment problem is solved to illustrate the main results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106202"},"PeriodicalIF":2.1,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144670447","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
Optimal mean–variance portfolio selection under regime-switching-induced stock price shocks 制度转换引发的股价冲击下的最优均值方差投资组合选择
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-07-17 DOI: 10.1016/j.sysconle.2025.106200
Xiaomin Shi , Zuo Quan Xu
{"title":"Optimal mean–variance portfolio selection under regime-switching-induced stock price shocks","authors":"Xiaomin Shi ,&nbsp;Zuo Quan Xu","doi":"10.1016/j.sysconle.2025.106200","DOIUrl":"10.1016/j.sysconle.2025.106200","url":null,"abstract":"<div><div>In this paper, we investigate mean-variance (MV) portfolio selection problems with jumps in a regime-switching financial model. The novelty of our approach lies in allowing not only the market parameters — such as the interest rate, appreciation rate, volatility, and jump intensity — to depend on the market regime, but also in permitting stock prices to experience jumps when the market regime switches, in addition to the usual micro-level jumps. This modeling choice is motivated by empirical observations that stock prices often exhibit sharp declines when the market shifts from a “bullish” to a “bearish” regime, and vice versa. By employing the completion-of-squares technique, we derive the optimal portfolio strategy and the efficient frontier, both of which are characterized by three systems of multi-dimensional ordinary differential equations (ODEs). Among these, two systems are linear, while the first one is an <span><math><mi>ℓ</mi></math></span>-dimensional, fully coupled, and highly nonlinear Riccati equation. In the absence of regime-switching-induced stock price shocks, these systems reduce to simple linear ODEs. Thus, the introduction of regime-switching-induced stock price shocks adds significant complexity and challenges to our model. Additionally, we explore the MV problem under a no-shorting constraint. In this case, the corresponding Riccati equation becomes a <span><math><mrow><mn>2</mn><mi>ℓ</mi></mrow></math></span>-dimensional, fully coupled, nonlinear ODE, for which we establish solvability. The solution is then used to explicitly express the optimal portfolio and the efficient frontier.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106200"},"PeriodicalIF":2.1,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144653566","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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