{"title":"Convergence rate of payoff-based generalized Nash equilibrium learning","authors":"Tatiana Tatarenko , Maryam Kamgarpour","doi":"10.1016/j.ejcon.2025.101320","DOIUrl":"10.1016/j.ejcon.2025.101320","url":null,"abstract":"<div><div>We consider generalized Nash equilibrium (GNE) problems in games with strongly monotone pseudo-gradients and jointly linear coupling constraints. We establish the convergence rate of a payoff-based approach intended to learn a variational GNE (v-GNE) in such games. While convergent algorithms have recently been proposed in this setting given full or partial information of the gradients, rate of convergence in the payoff-based information setting has been an open problem. Leveraging properties of a game extended from the original one by a dual player, we establish a convergence rate of <span><math><mrow><mi>O</mi><mrow><mo>(</mo><mfrac><mrow><mn>1</mn></mrow><mrow><msup><mrow><mi>t</mi></mrow><mrow><mn>4</mn><mo>/</mo><mn>7</mn></mrow></msup></mrow></mfrac><mo>)</mo></mrow></mrow></math></span> to a v-GNE of the game.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"85 ","pages":"Article 101320"},"PeriodicalIF":2.5,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144696394","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":"Homogeneous predictor feedback for a 1D reaction–diffusion equation with input delay","authors":"Mericel Ayamou , Nicolas Espitia , Andrey Polyakov , Emilia Fridman","doi":"10.1016/j.ejcon.2025.101336","DOIUrl":"10.1016/j.ejcon.2025.101336","url":null,"abstract":"<div><div>This paper deals with nonlinear boundary stabilization of a 1D reaction–diffusion equation with input delay. Using the modal decomposition approach, we propose a <em>homogeneous</em>-based predictor feedback for stabilizing the unstable modes. We prove the stability of the closed-loop system via the construction of a suitable Lyapunov functional. We present numerical simulations to support the analytical results and compare our proposed controller to linear predictor feedback regarding closed-loop performance and peaking effect.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"85 ","pages":"Article 101336"},"PeriodicalIF":2.5,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144694815","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}
Vaibhav Kumar Singh , Lorenzo Zino , Gabriel Muinos , Jacquelien M.A. Scherpen , Michele Cucuzzella
{"title":"An opinion dynamics approach to model and analyze the behavior of consumers in an energy network","authors":"Vaibhav Kumar Singh , Lorenzo Zino , Gabriel Muinos , Jacquelien M.A. Scherpen , Michele Cucuzzella","doi":"10.1016/j.ejcon.2025.101315","DOIUrl":"10.1016/j.ejcon.2025.101315","url":null,"abstract":"<div><div>Motivated by theories and evidence from the social psychology literature, we propose a novel continuous-time mathematical model that captures the evolution of motivation and behavior of energy consumers in a social network. In our model, consumers are connected to the energy grid and their energy demand (which we shall refer to as their behavior) is affected by their personal motivation on reducing (or increasing) their energy consumption. The motivation-behavior dynamics of each consumer is modeled using a second-order continuous-time bilinear differential equation. Each consumer has the ability to share their motivation on a social network and observe the behavior of other consumers. Using the information gathered from their peers and their personal bias about the energy consumption behavior, consumers have the ability to revise their own motivation about energy consumption and, ultimately, their behavior. Moreover, we incorporate into the model an external control action that captures the implementation of external behavioral interventions that influence the weight each consumer assigns to their own bias. Then, we use the proposed framework to shed light on the collective motivation-behavior dynamics of all the consumers, establishing conditions for the existence of equilibria, characterizing them, and performing a sensitivity analysis of such equilibria with respect to variations in the steady-state interventions provided to each consumer.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"85 ","pages":"Article 101315"},"PeriodicalIF":2.5,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144711774","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}
Yifan Xie, Julian Berberich, Felix Brändle, Frank Allgöwer
{"title":"Data-driven min–max MPC for LPV systems with unknown scheduling signal","authors":"Yifan Xie, Julian Berberich, Felix Brändle, Frank Allgöwer","doi":"10.1016/j.ejcon.2025.101302","DOIUrl":"10.1016/j.ejcon.2025.101302","url":null,"abstract":"<div><div>This paper presents a data-driven min–max model predictive control (MPC) scheme for linear parameter-varying (LPV) systems. The goal is to steer the system to the origin while ensuring that the closed-loop system satisfies input and state constraints. Contrary to existing data-driven LPV control approaches, we assume that the scheduling signal is unknown during offline data collection and online system operation. Assuming a quadratic matrix inequality (QMI) description for the scheduling signal, we develop a novel data-driven characterization of the consistent system matrices using only input-state data. The proposed data-driven min–max MPC minimizes a tractable upper bound on the worst-case cost over the consistent system matrices set and all scheduling signals satisfying the QMI. The proposed approach guarantees recursive feasibility, closed-loop exponential stability and constraint satisfaction if it is feasible at the initial time. We demonstrate the effectiveness of the proposed method in simulation.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"85 ","pages":"Article 101302"},"PeriodicalIF":2.5,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144679178","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 time-varying Gaussian process regression via Kalman filtering","authors":"Nicola Taddei , Riccardo Maggioni , Jaap Eising , Giulia De Pasquale , Florian Dörfler","doi":"10.1016/j.ejcon.2025.101330","DOIUrl":"10.1016/j.ejcon.2025.101330","url":null,"abstract":"<div><div>We consider the problem of learning time-varying functions in a distributed fashion, where agents collect local information to collaboratively achieve a shared estimate. This task is particularly relevant in control applications, whenever real-time and robust estimation of dynamic cost/reward functions in safety critical settings has to be performed. In this paper, we adopt a finite-dimensional approximation of a Gaussian process, corresponding to a Bayesian linear regression in an appropriate feature space, and propose a new algorithm, DistKP, to track the time-varying coefficients via a distributed Kalman filter. The proposed method works for arbitrary kernels and under weaker assumptions on the time-evolution of the function to learn compared to the literature. We validate our results using a simulation example in which a fleet of Unmanned Aerial Vehicles (UAVs) learns a dynamically changing wind field.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"85 ","pages":"Article 101330"},"PeriodicalIF":2.5,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144704568","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}
Lampros N. Bikas, Konstantinos M. Vervelithanos, George A. Rovithakis
{"title":"Discrete-time prescribed performance control with time-varying transmission intervals","authors":"Lampros N. Bikas, Konstantinos M. Vervelithanos, George A. Rovithakis","doi":"10.1016/j.ejcon.2025.101294","DOIUrl":"10.1016/j.ejcon.2025.101294","url":null,"abstract":"<div><div>This paper extends the prescribed performance control (PPC) methodology to discrete-time control with time-varying transmission intervals. Starting from a continuous-time PPC scheme that enforces pre-specified, user-defined performance bounds on output tracking errors, we develop a dynamic control protocol that determines sampling instants in real-time. This approach preserves closed-loop stability and output tracking performance while allowing transmission intervals to vary according to the current error distance from the performance bounds. By adapting the sampling times accordingly, our method reduces sampling frequency and improves system efficiency and reliability. Furthermore, we show that stricter performance requirements result in smaller transmission intervals, whereas relaxed requirements permit larger ones. Theoretical analysis and simulation results verify the effectiveness of the proposed approach.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"85 ","pages":"Article 101294"},"PeriodicalIF":2.5,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144694816","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 ramp metering control based on sliding mode unknown input observers","authors":"Nikolas Sacchi , Michele Cucuzzella , Antonella Ferrara","doi":"10.1016/j.ejcon.2025.101329","DOIUrl":"10.1016/j.ejcon.2025.101329","url":null,"abstract":"<div><div>In this paper, a novel ramp metering control with constraints compliance is introduced for a road traffic system with uncertain demand. The uncertain part of the flow entering the on-ramps is estimated relying on Integral Sliding Mode (ISM) based Unknown Input Observers (UIOs). The estimation is then employed in a Quadratic Programming (QP) problem, where constraints on queue lengths at the on-ramps are included via suitable Control Barrier Functions (CBFs). This results in an original approach that ensures adherence to queue length constraints by design, even under uncertain on-ramp demand conditions. The proposal is theoretically analyzed and assessed in simulation relying on the Cell Transmission Model (CTM) suitably extended to encompass the capacity drop effect. Simulation-based evaluations confirm the effectiveness of the proposed approach.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"85 ","pages":"Article 101329"},"PeriodicalIF":2.5,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144704658","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}
Debojyoti Biswas , Eduardo D. Sontag , Noah J. Cowan
{"title":"An exact active sensing strategy for a class of bio-inspired systems","authors":"Debojyoti Biswas , Eduardo D. Sontag , Noah J. Cowan","doi":"10.1016/j.ejcon.2025.101285","DOIUrl":"10.1016/j.ejcon.2025.101285","url":null,"abstract":"<div><div>We consider a general class of translation-invariant systems with a specific category of output nonlinearities motivated by biological sensing. We show that no dynamic output feedback can stabilize this class of systems to an isolated equilibrium point. To overcome this fundamental limitation, we propose a simple control scheme that includes a low-amplitude periodic forcing function akin to so-called “active sensing” in biology, together with nonlinear output feedback. Our analysis shows that this approach leads to the emergence of an exponentially stable limit cycle. These findings offer a provably stable active sensing strategy and may thus help to rationalize the active sensing movements animals make when performing certain motor behaviors.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"85 ","pages":"Article 101285"},"PeriodicalIF":2.6,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144722481","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":"Quadratic repulsiveness for LTI systems: Definition, analysis and design","authors":"Damiano Rotondo , Andrea Cristofaro","doi":"10.1016/j.ejcon.2025.101284","DOIUrl":"10.1016/j.ejcon.2025.101284","url":null,"abstract":"<div><div>This paper introduces and describes the notion of quadratic repulsiveness for linear time-invariant systems. Such novel concept arises from the goal of escaping from an undesirable region of the state space represented by the super level sets of an indefinite quadratic function. The analysis of the special eigenstructure of a system attaining quadratic repulsiveness is carried out first, revealing a number of interesting properties. Design algorithms based on LMIs are proposed for the synthesis of controllers enabling for the simultaneous stabilization and repulsiveness of the closed-loop system. The theoretical results in this paper are illustrated through examples that show the main features of quadratic repulsiveness.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"85 ","pages":"Article 101284"},"PeriodicalIF":2.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686503","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":"Koopman-based control using sum-of-squares optimization: Improved stability guarantees and data efficiency","authors":"Robin Strässer, Julian Berberich, Frank Allgöwer","doi":"10.1016/j.ejcon.2025.101286","DOIUrl":"10.1016/j.ejcon.2025.101286","url":null,"abstract":"<div><div>In this paper, we propose a novel controller design approach for unknown nonlinear systems using the Koopman operator. In particular, we use the recently proposed stability- and certificate-oriented extended dynamic mode decomposition (SafEDMD) architecture to generate a data-driven bilinear surrogate model with certified error bounds. Then, by accounting for the obtained error bounds in a controller design based on the bilinear system, one can guarantee closed-loop stability for the true nonlinear system. While existing approaches over-approximate the bilinearity of the surrogate model, thus introducing conservatism and providing only local guarantees, we explicitly account for the bilinearity by using sum-of-squares (SOS) optimization in the controller design. More precisely, we parametrize a rational controller stabilizing the error-affected bilinear surrogate model and, consequently, the underlying nonlinear system. The resulting SOS optimization problem provides explicit data-driven controller design conditions for unknown nonlinear systems based on semidefinite programming. Our approach significantly reduces conservatism by establishing a larger region of attraction and improved data efficiency. The proposed method is evaluated using numerical examples, demonstrating its advantages over existing approaches.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"85 ","pages":"Article 101286"},"PeriodicalIF":2.6,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144724678","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}