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Projected incrementally scattering passive systems on closed convex sets
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-11 DOI: 10.1016/j.sysconle.2025.106033
Shantanu Singh , Sébastien Fueyo , George Weiss
{"title":"Projected incrementally scattering passive systems on closed convex sets","authors":"Shantanu Singh ,&nbsp;Sébastien Fueyo ,&nbsp;George Weiss","doi":"10.1016/j.sysconle.2025.106033","DOIUrl":"10.1016/j.sysconle.2025.106033","url":null,"abstract":"<div><div>In this article we show that the projected dynamical system obtained by restricting the state of an incrementally scattering passive system to a closed and convex subset <span><math><mi>K</mi></math></span> of the state space (a real Hilbert space), is also an incrementally scattering passive system. First we show that the projection of a maximal dissipative operator to the tangent cones of <span><math><mi>K</mi></math></span> is again maximal dissipative, hence, it determines a contraction semigroup. Using this result, we prove our earlier claim. Our results are based on the Crandall–Pazy theorem, Rockafellar’s theorem on sums of operators and Moreau’s decomposition theorem. We give an application of our results to Maxwell’s equations on a cylindrical domain, approximately describing a fault current limiter, restricting the average current through the cylinder (in the direction of its axis) so that its absolute value cannot exceed a given threshold.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106033"},"PeriodicalIF":2.1,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143379063","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
Uniform exponential stability of semi-discrete scheme for Euler–Bernoulli beam equation with non-collocated feedback
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-11 DOI: 10.1016/j.sysconle.2024.106017
Han-Jing Ren , Bao-Zhu Guo
{"title":"Uniform exponential stability of semi-discrete scheme for Euler–Bernoulli beam equation with non-collocated feedback","authors":"Han-Jing Ren ,&nbsp;Bao-Zhu Guo","doi":"10.1016/j.sysconle.2024.106017","DOIUrl":"10.1016/j.sysconle.2024.106017","url":null,"abstract":"<div><div>In this paper, we study the uniform exponential stability of a semi-discrete scheme for an Euler–Bernoulli beam equation under an observer-based output stabilizing feedback control studied in Guo et al. (2008), where the Riesz basis approach was employed. However, it is crucial to note that the Riesz basis approach falls short when applied to the uniform exponential stability of discrete schemes. Since the original system and observer together constitutes a coupled system described by partial differential equations (PDEs), this paper innovatively constructs a Lyapunov function specifically tailored for this coupled PDEs, which gives a much direct, simple alternative approach to exponential stability. In addition, this methodology can be seamlessly applied to assess the uniform exponential stability of a semi-discretized finite difference scheme corresponding to this coupled PDE. Although the semi-discretization process is still an order reduction approach studied in our previous works, it is novel in the sense that the order of the derivatives with respect to the spatial variable has been reduced to the first order, which not only eliminates the effect of the low order derivative on the boundary in previous study but also simplifies significantly the proof of the uniform exponential stability of the semi-discrete scheme.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106017"},"PeriodicalIF":2.1,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143379177","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
Attack detection and security control for quadrotor under stealthy attacks
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-08 DOI: 10.1016/j.sysconle.2025.106031
Chengwei Wu , Yupeng Zhu , Lezhong Xu , Hongming Zhu , Quanqi Zhang , Jiajing Zhu , Weiran Yao
{"title":"Attack detection and security control for quadrotor under stealthy attacks","authors":"Chengwei Wu ,&nbsp;Yupeng Zhu ,&nbsp;Lezhong Xu ,&nbsp;Hongming Zhu ,&nbsp;Quanqi Zhang ,&nbsp;Jiajing Zhu ,&nbsp;Weiran Yao","doi":"10.1016/j.sysconle.2025.106031","DOIUrl":"10.1016/j.sysconle.2025.106031","url":null,"abstract":"<div><div>When malicious attacks occur, the security issues of unmanned aerial vehicles are full of challenges. This paper investigates the attack detection and security control problems for quadrotors with stealthy false data injection attacks. Decoupled linear models are provided to describe the dynamics. A novel cyber-attack detection scheme integrating watermarking signals and auxiliary functions is devised to detect stealthy false data injection attacks. To determine which sensor data is attacked, an attack location algorithm is developed based on the observability of the derived linear model. Furthermore, a security control scheme is provided to mitigate stealthy false data injection attacks. Finally, simulation results are presented to validate the proposed theories in this paper.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143349682","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
Adaptive output regulation for wave PDEs with a nonlocal term and unknown harmonic disturbances
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-07 DOI: 10.1016/j.sysconle.2025.106043
Jun-Jun Liu , Ning Peng , Jun-Min Wang
{"title":"Adaptive output regulation for wave PDEs with a nonlocal term and unknown harmonic disturbances","authors":"Jun-Jun Liu ,&nbsp;Ning Peng ,&nbsp;Jun-Min Wang","doi":"10.1016/j.sysconle.2025.106043","DOIUrl":"10.1016/j.sysconle.2025.106043","url":null,"abstract":"<div><div>In this paper, we apply internal model principle (IMP) and the adaptive frequency estimation strategy to achieve output tracking for a one-dimensional wave equation with velocity recirculation and unknown harmonic disturbances. The disturbances are present in all channels, and both the disturbances and the reference trajectory have an unknown sinusoidal form. We first construct an auxiliary system and a proper trajectory such that total disturbances appear only in the output of the auxiliary. As a result, we obtain a dynamic estimation of the total disturbances by constructing an internal model dynamics. An adaptive method is proposed to determine the uncertain parameters. In order to realize exponential output tracking, the proposed error-based adaptive dynamic compensator is employed. Finally, some simulation examples are carried out to validate the results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106043"},"PeriodicalIF":2.1,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143360804","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
The strong stability of the Perron–Frobenius semigroup and almost global attractivity
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-06 DOI: 10.1016/j.sysconle.2025.106029
Pietro Lorenzetti, George Weiss
{"title":"The strong stability of the Perron–Frobenius semigroup and almost global attractivity","authors":"Pietro Lorenzetti,&nbsp;George Weiss","doi":"10.1016/j.sysconle.2025.106029","DOIUrl":"10.1016/j.sysconle.2025.106029","url":null,"abstract":"<div><div>We discuss some useful properties of the solution map (flow) of a nonlinear dynamical system with a finite-dimensional state space. Then, we introduce the Perron–Frobenius semigroup, and we prove that it is a positive strongly continuous semigroup of contractions. We show that, given a nonlinear system and an invariant set, this set is an almost global attractor if and only if certain Perron–Frobenius semigroups associated to the nonlinear system are strongly stable. Unlike other works on the Perron–Frobenius semigroup from the literature, we do not require the existence of a compact and invariant state-space for the dynamical system, we allow trajectories with finite escape time, and we do not require the attractor to be locally (Lyapunov) stable. Two simple examples are used throughout the paper to illustrate the theory.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106029"},"PeriodicalIF":2.1,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143314896","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
Port-Hamiltonian structures in infinite-dimensional optimal control: Primal–Dual gradient method and control-by-interconnection
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-06 DOI: 10.1016/j.sysconle.2025.106030
Hannes Gernandt , Manuel Schaller
{"title":"Port-Hamiltonian structures in infinite-dimensional optimal control: Primal–Dual gradient method and control-by-interconnection","authors":"Hannes Gernandt ,&nbsp;Manuel Schaller","doi":"10.1016/j.sysconle.2025.106030","DOIUrl":"10.1016/j.sysconle.2025.106030","url":null,"abstract":"<div><div>In this note, we consider port-Hamiltonian structures in numerical optimal control of ordinary differential equations. By introducing a novel class of nonlinear monotone port-Hamiltonian (pH) systems, we show that the primal–dual gradient method may be viewed as an infinite-dimensional nonlinear pH system. The monotonicity and the particular block structure arising in the optimality system is used to prove exponential stability of the dynamics towards its equilibrium, which is a critical point of the first-order optimality conditions. Leveraging the port-based modeling, we propose an optimization-based controller in a suboptimal receding horizon control fashion. To this end, the primal–dual gradient based optimizer-dynamics is coupled to a pH plant dynamics in a power-preserving manner. We show that the resulting model is again monotone pH system and prove that the closed-loop exhibits local exponential convergence towards the equilibrium.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106030"},"PeriodicalIF":2.1,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143314897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rapid stabilization of parabolic coupled system
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-05 DOI: 10.1016/j.sysconle.2025.106027
Ilyasse Lamrani , Imad El Harraki , Fatima-Zahrae El Alaoui
{"title":"Rapid stabilization of parabolic coupled system","authors":"Ilyasse Lamrani ,&nbsp;Imad El Harraki ,&nbsp;Fatima-Zahrae El Alaoui","doi":"10.1016/j.sysconle.2025.106027","DOIUrl":"10.1016/j.sysconle.2025.106027","url":null,"abstract":"<div><div>This paper considers the problem of stabilizing a class of non-scalar coupled parabolic equations controlled by a single multiplicative control. We show that if the associated linear system is null controllable, then the solution of the considered system can be locally superexponentially stabilized towards specific trajectories, referred to as eigen-trajectories. To resolve the null controllability issue, we reformulate it as a moment problem and apply two separate sets of assumptions on the eigenvalues. Some applications are presented to illustrate the obtained results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106027"},"PeriodicalIF":2.1,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143171854","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
Scalable second-order consensus of hierarchical groups
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-04 DOI: 10.1016/j.sysconle.2025.106032
Jiamin Wang , Jian Liu , Feng Xiao , Ning Xi , Lipo Mo , Yuanshi Zheng
{"title":"Scalable second-order consensus of hierarchical groups","authors":"Jiamin Wang ,&nbsp;Jian Liu ,&nbsp;Feng Xiao ,&nbsp;Ning Xi ,&nbsp;Lipo Mo ,&nbsp;Yuanshi Zheng","doi":"10.1016/j.sysconle.2025.106032","DOIUrl":"10.1016/j.sysconle.2025.106032","url":null,"abstract":"<div><div>Motivated by widespread dominance hierarchy, variations of group sizes, and feedback mechanisms in social species, we are devoted to exploring the scalable second-order consensus of hierarchical groups. More specifically, a hierarchical group consists of a collection of agents with double-integrator dynamics on a directed acyclic graph with additional reverse edges, which characterize feedback mechanisms across hierarchical layers. As the group size varies and the reverse edges appear, we investigate whether the absolute velocity protocol and the relative velocity protocol can preserve the system consensus property without tuning the control gains. It is rigorously proved that the absolute velocity protocol is able to achieve completely scalable second-order consensus but the relative velocity protocol cannot. This result theoretically reveals how the scalable coordination behavior in hierarchical groups is determined by local interaction rules. Moreover, we find a hierarchical structure in order to achieve scalable second-order consensus for networks of any size and with any number of reverse edges.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106032"},"PeriodicalIF":2.1,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143172466","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
Cooperative pointing control of multi-robot systems via distributed target estimation
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-03 DOI: 10.1016/j.sysconle.2025.106023
Fan Zhang , Cui-Li Jin , Weiguo Xia , Xi-Ming Sun , He Bai
{"title":"Cooperative pointing control of multi-robot systems via distributed target estimation","authors":"Fan Zhang ,&nbsp;Cui-Li Jin ,&nbsp;Weiguo Xia ,&nbsp;Xi-Ming Sun ,&nbsp;He Bai","doi":"10.1016/j.sysconle.2025.106023","DOIUrl":"10.1016/j.sysconle.2025.106023","url":null,"abstract":"<div><div>In this paper, we propose a novel cooperative pointing control framework for multi-robot systems subject to one target. The existing approach exploits the geometric relations among neighboring robots and the target to design cooperative pointing controllers, which involves intricate geometric analysis and hinders us from applications in complex environments. Herein, all the robots and the target are stationary within the same plane, and their deployment is arbitrary. Besides, each robot knows its own global position. Without loss of generality, we assume that, two leader robots already point at the target and the three of them are not collinear. This setup in fact determines the target’s position implicitly, which but is unknown to the two leader robots as well as others. We thus design a distributed estimator to yield an asymptotic estimate of the target’s position at each robot, which gives the asymptotic estimate of the desired orientation angle for each non-leader robot. However, the estimate of the desired orientation angle follows specific geometric relations from the estimate of the target’s position that cannot be equal to the position of the corresponding robot. A state-dependent switching strategy is employed to enable the distributed target estimator to stay away from this singularity. Through tracking the estimate of the desired orientation angle, each non-leader robot regulates its own orientation angle to point to the target asymptotically. Finally, numerical simulations are presented to illustrate the validity of this framework.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106023"},"PeriodicalIF":2.1,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143171858","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
Stackelberg–Nash solution to the mean-field stochastic difference game with two followers
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-03 DOI: 10.1016/j.sysconle.2025.106026
Shuaichen Geng , Yaning Lin , Weihai Zhang
{"title":"Stackelberg–Nash solution to the mean-field stochastic difference game with two followers","authors":"Shuaichen Geng ,&nbsp;Yaning Lin ,&nbsp;Weihai Zhang","doi":"10.1016/j.sysconle.2025.106026","DOIUrl":"10.1016/j.sysconle.2025.106026","url":null,"abstract":"<div><div>This paper studies the Stackelberg–Nash strategy for the discrete-time mean-field stochastic systems with two followers. First, utilizing two pairs of generalized difference Riccati equations, a non-zero sum mean-field stochastic difference game is solved for two followers and the Nash equilibrium solution is obtained. Then, the leader settles the optimization problem of a mean-field forward-backward stochastic difference equation. Necessary and sufficient condition for the solvability is put forward. Moreover, feedback representation of Stackelberg–Nash strategy is obtained by introducing new state and costate variables. Finally, two examples are given to verify the effectiveness of the proposed results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106026"},"PeriodicalIF":2.1,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143171857","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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