{"title":"Generalized exponential stability of stochastic delayed systems with delayed impulses and infinite delays","authors":"Dehao Ruan , Quanxin Zhu , Yao Lu","doi":"10.1016/j.sysconle.2025.106194","DOIUrl":"10.1016/j.sysconle.2025.106194","url":null,"abstract":"<div><div>This paper considers the <span><math><mi>p</mi></math></span>th moment generalized exponential stability of impulsive stochastic delayed systems (ISDSs) influenced by both delayed impulses and infinite delays. By utilizing the Razumikhin approach, we derive new stability criteria for ISDSs. Our analysis encompasses stochastic impulsive intensities, infinite delays in continuous dynamics, and delayed impulses, without imposing constraints on their magnitudes. The proposed control strategy incorporates stabilizing impulses which ensures that the system remains stable despite impulsive disturbances occurring at specific moments. Furthermore, our criteria permit that the time derivatives of the Lyapunov function do not have upper or lower bounds, which makes them applicable to both stable and unstable original systems, as well as in scenarios where stabilizing and destabilizing impulses coexist. Additionally, the restrictions on system parameters are significantly relaxed. Finally, three illustrative examples are presented to validate the proposed results and demonstrate their practical applicability.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106194"},"PeriodicalIF":2.1,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144569802","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":"Hierarchical structures in multi-agent systems: Containment control and opinion dynamics","authors":"Luigi D’Alfonso, Giuseppe Fedele","doi":"10.1016/j.sysconle.2025.106188","DOIUrl":"10.1016/j.sysconle.2025.106188","url":null,"abstract":"<div><div>This study extends the Taylor model of opinion dynamics by addressing key limitations and introducing novel elements to enhance its applicability. Specifically, a hierarchy of stubbornness is introduced to represent opinions influenced by prejudices, with agents acting at different levels to shape the behavior of the multi-agent system. Additionally, the impact of time-varying prejudices is analyzed to reflect the dynamic nature of biases in real-world systems. The model is further extended to account for agents with double-integrator dynamics, capturing both position and velocity states. While Taylor’s model lacks direct practical correspondence in opinion dynamics for double-integrator systems, its relevance is demonstrated for containment problems in scenarios such as robotic swarms and autonomous vehicles. Numerical simulations validate the effectiveness of the proposed framework in improving control strategies in dynamic and evolving environments.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106188"},"PeriodicalIF":2.1,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144569803","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":"Backstepping control for the sterile mosquitoes technique: Stabilization of extinction equilibrium","authors":"Andrea Cristofaro , Luca Rossi","doi":"10.1016/j.sysconle.2025.106169","DOIUrl":"10.1016/j.sysconle.2025.106169","url":null,"abstract":"<div><div>The control of a mosquito population using the sterile insect technique is considered. Building on a model-based approach, where the control input is the release rate of sterilized males, we propose a non-negative backstepping control law capable of globally stabilizing the extinction equilibrium of the system. A simulation study supports and validates the theoretical findings, showing the efficacy of the approach both on a reduced model, used for control design, and on a complete model of the mosquito population dynamics.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106169"},"PeriodicalIF":2.1,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144572295","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":"Stability analysis of compositional Boolean networks through different logical operators","authors":"Wenrong Li, Haitao Li","doi":"10.1016/j.sysconle.2025.106175","DOIUrl":"10.1016/j.sysconle.2025.106175","url":null,"abstract":"<div><div>This paper develops a novel compositional approach to reduce the computational burden associated with the stability analysis of Boolean networks (BNs). Firstly, the relation of state transitions between compositional BN and each subnetwork is revealed via the semi-tensor product method. Secondly, based on the state transitions of subnetworks, a new node compositional equation is established to explore the stability of compositional BNs by using the information of different logical operators. Finally, the efficacy of compositional approach is demonstrated by the ABA signal transduction network.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106175"},"PeriodicalIF":2.1,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144536050","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":"Input fluctuation mitigation in coupled nonlinear control systems: A dual-mode DMPC approach","authors":"Yu Yang , Shihui Jiang , Tianbo Zhang , Dong Shen","doi":"10.1016/j.sysconle.2025.106174","DOIUrl":"10.1016/j.sysconle.2025.106174","url":null,"abstract":"<div><div>Excessive fluctuations in control inputs can severely compromise the performance, stability, and safety of control systems, posing significant challenges in various practical applications. This study introduces a novel dual-mode distributed model predictive control (DMPC) approach for a class of dynamically coupled nonlinear systems, aiming to effectively mitigate input fluctuations. The existence of a terminal invariant region (TIR) and its corresponding terminal stabilizing controller (TSC) is rigorously established for a globally coupled nonlinear system subject to input amplitude and fluctuation constraints. When the system state resides within the global TIR, the global TSC ensures consistent satisfaction of input amplitude and fluctuation constraints. When operating outside the global TIR, a set of parallel model predictive controllers with input amplitude and fluctuation constraints is developed, where an aperiodic event-triggering scheduler is introduced to reduce the likelihood of input fluctuation constraint violations during practical numerical implementation. The recursive feasibility and closed-loop stability of the proposed dual-mode DMPC approach are rigorously analyzed. Simulation results on coupled oscillators demonstrate its effectiveness in input fluctuation mitigation and system stabilization.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106174"},"PeriodicalIF":2.1,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144519190","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":"Geometric analysis of nonlinear impulsive control systems: Decompositions, accessibility, observability","authors":"Qinbo Huang , Lijuan Shen , Jitao Sun","doi":"10.1016/j.sysconle.2025.106176","DOIUrl":"10.1016/j.sysconle.2025.106176","url":null,"abstract":"<div><div>This paper investigates some fundamental properties of nonlinear impulsive control systems (ICS), including structural decompositions, accessibility and observability. By defining suitable invariant distributions using differential geometry methods, we propose the controllability decomposition and the observability decomposition for nonlinear ICS. With the help of such structural decompositions, the geometrical characterizations of the reachable set and the indistinguishable set of nonlinear ICS are presented. The corresponding criteria for (strong) accessibility and observability of nonlinear ICS are obtained. For a special class of linear ICS, we show that the strong accessibility is equivalent to the controllability. Finally, examples illustrate the effectiveness of the main theoretical results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106176"},"PeriodicalIF":2.1,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144519191","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":"Output feedback stabilization of an ODE-heat cascade system by neural operator approximations","authors":"Yu-Chen Jiang, Jun-Min Wang","doi":"10.1016/j.sysconle.2025.106173","DOIUrl":"10.1016/j.sysconle.2025.106173","url":null,"abstract":"<div><div>In this paper, we consider the output feedback stabilization of an ordinary differential equation (ODE)-heat cascade system with a variable coefficient reaction term. We design the boundary feedback controller by backstepping method, where the control design is accelerated by neural operators. For backstepping kernel functions involving spatial variables, it is difficult to obtain the analytical solutions and time-consuming to compute the numerical solutions. In order to solve this problem, we use neural operator learning framework to accelerate the generation of approximate kernel functions, and then obtain the feedback controller. Specifically, we give the continuity and boundedness of the kernel partial differential equations (PDEs) and establish the nonlinear mapping of the reaction coefficient to the kernel functions. Through DeepONet approximation of nonlinear operator, we prove the existence of kernel PDEs under DeepONet arbitrary accuracy approximation. Then we design the DeepONet-approximated observer and output feedback controller, and demonstrate the output feedback stability of the closed-loop system under DeepONet approximations. Numerical simulations verify the effectiveness of the controller and illustrate that this method is two orders of magnitude faster than PDE solvers.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106173"},"PeriodicalIF":2.1,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144519192","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":"On discrete-time bilinear systems: Constant disturbances enhancing controllability","authors":"Lingxiang Cheng , Lin Tie","doi":"10.1016/j.sysconle.2025.106172","DOIUrl":"10.1016/j.sysconle.2025.106172","url":null,"abstract":"<div><div>Disturbances often influence the properties of control systems, which need to be avoided or dealt with by methods of, for instance, robust control and sliding mode control. Whether disturbances destroy controllability of control systems is an important issue. For linear systems, it can be proved that disturbances do not influence controllability. However, for nonlinear systems, it is shown in this paper that disturbances may not destroy controllability but may even enhance it. More specifically, discrete-time commutative bilinear systems are first considered, and it is proved that such uncontrollable systems can be controllable when disturbances appear in the dynamics. Algebraic as well as geometric criteria for controllability of the discrete-time commutative bilinear systems with disturbances are derived, which are both necessary and sufficient conditions. Moreover, an algorithm for computing the required control inputs to achieve state transitions is also proposed. Finally, controllability of general discrete-time bilinear systems with disturbances is studied, which further demonstrates our observation on disturbances enhancing controllability. Examples are provided to illustrate the obtained algebraic controllability criteria and algorithm.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106172"},"PeriodicalIF":2.1,"publicationDate":"2025-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144513948","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":"Distributed nonlinear algorithms for building chain formations by fully homogeneous multi-agent teams, with establishing informational connectivity","authors":"P.A. Konovalov, A.S. Matveev","doi":"10.1016/j.sysconle.2025.106143","DOIUrl":"10.1016/j.sysconle.2025.106143","url":null,"abstract":"<div><div>A fully homogeneous team of an unknown size consists of agents that carry no communication facilities and cannot distinguish among the peers or play distinct roles and so should be subjected to a common control rule. Every agent has access to the relative state of any peer that is within a finite “visibility range” if nothing obscures the view to the peer. Distributed continuous-time computationally cheap nonlinear protocols are offered for (a) self-deployment of the team into nodes of a uniform lattice with a given spacing and (b) for even self-distribution over an unknown interval. These findings are illustrated by design of navigation strategies for cruise control of a platoon of vehicles on a road, for navigation of robotic swarms for dense sweep coverage of corridor environments, and for building a virtual antenna array in 3D by aerial drones. The proposed algorithms are justified by rigorous global convergence results; their performance is confirmed by computer simulation tests.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106143"},"PeriodicalIF":2.1,"publicationDate":"2025-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144513949","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":"On stability guarantees under sampling for retarded nonlinear systems","authors":"Pierdomenico Pepe, Mario Di Ferdinando","doi":"10.1016/j.sysconle.2025.106171","DOIUrl":"10.1016/j.sysconle.2025.106171","url":null,"abstract":"<div><div>In this paper we deal with sampled-data implementation of Lipschitz on bounded sets global asymptotic stabilizers for retarded nonlinear systems, described by Lipschitz on bounded sets functions. We show, with no particular assumption nor requiring exhibition of any Lyapunov–Krasovskii functional, that fast sampling always ensures stabilization in the sample-and-hold sense. That is, for any ball of the origin of initial states and for any final target ball of the origin, there exists a suitably small sampling period such that all solutions starting in the former ball are driven into the latter one, with uniform overshoot and uniform settling time. Global asymptotic and locally exponentially stabilizers are also investigated, showing in this case semi-global uniform convergence to the origin under fast sampling.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106171"},"PeriodicalIF":2.1,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144481465","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}