F.W. Chaves-Silva , N. Carreño , M.G. Ferreira-Silva
{"title":"On the controllability of parabolic equations with large parameters in small time","authors":"F.W. Chaves-Silva , N. Carreño , M.G. Ferreira-Silva","doi":"10.1016/j.sysconle.2025.106177","DOIUrl":"10.1016/j.sysconle.2025.106177","url":null,"abstract":"<div><div>In this work, we deal with the heat equation perturbed by an anomalous diffusion term scaled by a large parameter. More precisely, we study the cost of null controllability for the system as the parameter goes to infinity. We show that is possible to construct null controls that exhibit exponential decay with respect to the parameter. Our study gives a positive answer to a conjecture raised by J.-L. Lions and E. Zuazua [Rev. Mat. Univ. Complut. Madrid, 10 (2)(1997), 481-524]. Additionally, using the so-called source term method and an inverse mapping theorem, we prove that it is possible to achieve controllability results for certain nonlinear systems with a control with a cost decaying to zero as well.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106177"},"PeriodicalIF":2.1,"publicationDate":"2025-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144614542","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":"Neural operators in backstepping control for hyperbolic partial differential equations (PDEs) in rotary drilling systems","authors":"Samir Toumi","doi":"10.1016/j.sysconle.2025.106191","DOIUrl":"10.1016/j.sysconle.2025.106191","url":null,"abstract":"<div><div>Designing controllers for partial differential equations (PDEs), such as backstepping controllers, requires mapping system model functions into gain functions. These mappings involve infinite-dimensional nonlinear operators, typically defined through PDEs with spatial variables. For each new coefficient of the PDE, a corresponding gain function must be determined by solving these complex equations. However, this challenge can be addressed by employing a neural operator to learn and approximate the mapping efficiently. In this context, this paper focuses on stabilizing torsional vibrations caused by bit stick–slip behavior in oilwell drilling systems, which are described by a damped wave equation. To achieve this, the second-order torsional vibration dynamics are transformed into a coupled system of <span><math><mrow><mn>2</mn><mo>×</mo><mn>2</mn></mrow></math></span> first-order PDEs. Building on this formulation, we verify the continuity of the mapping from the plant PDE coefficients to the solutions of the kernel PDEs and show that a DeepONet approximation closely mirrors the exact kernel PDEs. Furthermore, we demonstrate that the DeepONet-approximated gains ensure system stabilization, effectively replacing the exact backstepping gain kernels. The stabilizing capability of the proposed approach is supported by theoretical proofs and validated through simulation results. This study extends the work by Toumiet al. (2017).</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106191"},"PeriodicalIF":2.1,"publicationDate":"2025-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144613947","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":"Path integral control of partially observed systems via fully observable control approximations","authors":"Kenta Hoshino , Hongzhe Yu , Takashi Tanaka , Yongxin Chen","doi":"10.1016/j.sysconle.2025.106185","DOIUrl":"10.1016/j.sysconle.2025.106185","url":null,"abstract":"<div><div>This study considers a partially observed optimal control problem in which the state is measured through a noisy output, focusing on continuous-time and continuous-space settings. To develop a control algorithm for this challenging problem, we extend the so-called fully observable value approximation, originally developed for the partially observable Markov decision problems (POMDPs) in discrete-time and discrete-space domains, to the continuous ones. The approximation yields a suboptimal controller with a structure analogous to that of a controller obtained through the separation principle for the so-called linear-quadratic settings. Combined with the path integral control method, the proposed extension allows for a suboptimal policy synthesis for partially observable systems. Numerical experiments demonstrate the effectiveness of the proposed algorithm in handling partially observable control problems of continuous-time, continuous-space, and nonlinear systems.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106185"},"PeriodicalIF":2.1,"publicationDate":"2025-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144613948","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}
Jiacheng Chen , Dan Goreac , Juan Li , Oana-Silvia Serea
{"title":"LP techniques in the control of reflected jump systems and their relevance for epidemics","authors":"Jiacheng Chen , Dan Goreac , Juan Li , Oana-Silvia Serea","doi":"10.1016/j.sysconle.2025.106195","DOIUrl":"10.1016/j.sysconle.2025.106195","url":null,"abstract":"<div><div>Our brief paper primarily focuses on the control of reflected stochastic differential equations (SDE) with jumps. The illustrations on data on COVID-19 (INSEE, France) suggest that reflected jump models capture interesting features: successive infection waves due to waning immunity and increased efficacy of social-distancing over vaccination-only policies. The price to pay when considering reflected dynamics is an increase of difficulty to treat the control issues. To address this, the core of the paper focuses on linear programming (LP) techniques in the control of such reflected SDEs of jump type.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106195"},"PeriodicalIF":2.1,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144597046","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":"Consensus of heterogeneous multi-agent system in switching network using model predictive control","authors":"Shibo Han, Chong Jin Ong","doi":"10.1016/j.sysconle.2025.106187","DOIUrl":"10.1016/j.sysconle.2025.106187","url":null,"abstract":"<div><div>This work shows an approach to achieve output consensus among heterogeneous agents in a multi-agent environment where each agent is an uncertain linear system subject to input and state constraints. The communication among agents is described by a time-varying directed graph with bounded communication delays. The approach relies on achieving consensus among the references of the agents and that each agent has a Model Predictive Controller (MPC) that tracks piecewise constant references asymptotically. A notable contribution is the characterization of the trackable references for every agents. This set of trackable references for each agent is used to ensure output consensus for all agents. Since consensus is imposed on the references, the recursive feasibility condition of MPC can be easily satisfied. The choice of the control parametrization also allows for a large domain of applicability. Examples are provided to illustrate the advantages of the approach.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106187"},"PeriodicalIF":2.1,"publicationDate":"2025-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144588259","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}
Shuo Zhang , Lei Miao , Wei Xing , Xudong Zhao , Lun Li
{"title":"DoS attack schedules for remote state estimation under multi-sensor round-robin protocol","authors":"Shuo Zhang , Lei Miao , Wei Xing , Xudong Zhao , Lun Li","doi":"10.1016/j.sysconle.2025.106190","DOIUrl":"10.1016/j.sysconle.2025.106190","url":null,"abstract":"<div><div>In this paper, we investigate the optimal scheduling of denial-of-service (DoS) attacks for remote state estimation in cyber–physical systems with multiple sensors and channels. To avoid data conflicts, only one of the sensors can access the wireless communication channels and transmit its data packets to the remote estimator which may also experience congestion caused by a malicious DoS attacker. Given the energy limitations of the attackers, decisions must be made at each time step about whether to initiate an attack on the communication channels. We obtain an inherent dynamic characteristic of the error covariance at the remote estimator and propose an optimal attack schedule by concentrating on two scenarios: (i) smart sensors that can execute a Kalman filter algorithm in real time, and (ii) non-intelligent sensors that are restricted to collecting and transmitting only raw measurement data. Finally, the theoretical results are illustrated by numerical examples.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106190"},"PeriodicalIF":2.1,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144588316","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":"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}