AutomaticaPub Date : 2026-03-01Epub Date: 2025-12-19DOI: 10.1016/j.automatica.2025.112752
Chiara Romano , Alessandro Borri , Mario Di Ferdinando , Maria Domenica Di Benedetto , Pierdomenico Pepe
{"title":"Sampled-data observer-based exponential stabilization of nonlinear systems with an application to tumor control","authors":"Chiara Romano , Alessandro Borri , Mario Di Ferdinando , Maria Domenica Di Benedetto , Pierdomenico Pepe","doi":"10.1016/j.automatica.2025.112752","DOIUrl":"10.1016/j.automatica.2025.112752","url":null,"abstract":"<div><div>Ensuring stability in control systems with incomplete state information poses a significant challenge. This paper addresses this issue for nonlinear systems by leveraging the power of state observers and fast sampling. We demonstrate the following result: if the linearized system exhibits the standard structural properties of stabilizability and detectability, then the sampled-data Euler emulation of a continuous-time (Luenberger) observer-based stabilizer, designed for the linear continuous-time system, also guarantees local exponential convergence to the origin of the nonlinear system state, provided that sampling is sufficiently fast. While the result may seem expected, our work moves beyond conjecture by providing a rigorous proof that establishes this convergence under minimal assumptions. Unlike many approaches that require numerous strong assumptions for global guarantees, we forgo these requirements and accept a local result, which is still valuable in applications where understanding the system behavior around specific points is crucial. As an illustrative example, we show an application of the method to the control of the Hahnfeldt’s model of colon tumor angiogenesis, showing the potential and effectiveness of the proposed approach.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112752"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145799652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
AutomaticaPub Date : 2026-03-01Epub Date: 2025-12-19DOI: 10.1016/j.automatica.2025.112778
David Angeli , Davide Martini , Giacomo Innocenti , Alberto Tesi
{"title":"Non-invasive chaos control based on 2-contraction stabilizability","authors":"David Angeli , Davide Martini , Giacomo Innocenti , Alberto Tesi","doi":"10.1016/j.automatica.2025.112778","DOIUrl":"10.1016/j.automatica.2025.112778","url":null,"abstract":"<div><div>In this paper a non-invasive approach to chaos control based on <span><math><mi>k</mi></math></span>-Contraction Theory is developed. Specifically, some recent results on 2-contractive nonlinear systems are suitably extended to design a feedback controller capable to remove attractors with positive Lyapunov exponents of the open loop system, without altering the equilibrium points. First, 2-contraction stabilizability of linear control systems is discussed, showing that it can be checked by solving some linear matrix inequalities. Then, a novel technique based on 2-contraction stabilizability is devised for computing the gain matrix of a derivative feedback controller ensuring that the controlled system has the same equilibrium points of the uncontrolled one but no longer displays attractors with positive Lyapunov exponents. Finally, the classical Lorenz system is employed to illustrate the features of the proposed technique.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112778"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145799189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
AutomaticaPub Date : 2026-03-01Epub Date: 2025-12-19DOI: 10.1016/j.automatica.2025.112756
Ali Wadi, Kyriakos G. Vamvoudakis
{"title":"Trajectory-informed machine learning for quantum optimal control of uncertain systems","authors":"Ali Wadi, Kyriakos G. Vamvoudakis","doi":"10.1016/j.automatica.2025.112756","DOIUrl":"10.1016/j.automatica.2025.112756","url":null,"abstract":"<div><div>In this paper, we introduce a trajectory-informed machine learning framework to address the infinite-horizon optimal control problem for uncertain quantum-mechanical systems. Our approach is inspired by physics-informed neural networks (PINNs), but is based on trajectories rather than points. Moreover, our methodology does not require knowledge of the drift term of the system’s dynamics. It also uses a finite-horizon formulation for the quantum optimal control (QOC) problem that can guarantee a unique solution to the derived Hamilton–Jacobi–Bellman (HJB) equation, which is currently not achievable with traditional PINNs. We finally provide a rigorous mathematical justification, demonstrating that the solution uniformly converges and approximates the infinite-horizon HJB for a sufficiently large finite horizon. We have validated our proposed QOC approach through simulations on the spin-<span><math><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math></span> particle quantum system.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112756"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784444","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
AutomaticaPub Date : 2026-03-01Epub Date: 2025-12-23DOI: 10.1016/j.automatica.2025.112769
Zhuyuan Li , Steven X. Ding , Linlin Li , Ying Yang
{"title":"A novel cyber attack design scheme based on system subspace analysis","authors":"Zhuyuan Li , Steven X. Ding , Linlin Li , Ying Yang","doi":"10.1016/j.automatica.2025.112769","DOIUrl":"10.1016/j.automatica.2025.112769","url":null,"abstract":"<div><div>This article investigates the analysis and design of cyber attacks in the unified control and detection framework for cyber–physical systems (CPSs). Based on the Bezout identity, it is proved that there exists a one-to-one mapping between the I/O signals and I/O residuals. The input residual and output residual depend on cyber attacks and plant faults respectively, which is a major difference between these two factors impairing systems. Moreover, it is concluded that cyber attacks compromise the I/O signals within the plant’s image subspace. To facilitate strictly stealthy attack design, a novel image attack with a latent variable to be designed is proposed, decoupling the realization of attack objectives from stealthiness conditions. It is worth pointing out that the image attack parameterizes strictly stealthy attacks undetectable to any observer-based detector and affects the plant in the form of altering the input residual. Further, an offline attack intended to modify system operation points and an online attack aimed at moving system states to desired ones are presented to illustrate the advantages of the image attack model. Finally, a case study is demonstrated on the longitudinal flight control system to validate the proposed scheme.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112769"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145822798","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
AutomaticaPub Date : 2026-03-01Epub Date: 2025-12-23DOI: 10.1016/j.automatica.2025.112771
Hang Xu , Kaihong Lu , Yu-Long Wang , Qixin Zhu
{"title":"Online distributed algorithms for mixed equilibrium problems in dynamic environments","authors":"Hang Xu , Kaihong Lu , Yu-Long Wang , Qixin Zhu","doi":"10.1016/j.automatica.2025.112771","DOIUrl":"10.1016/j.automatica.2025.112771","url":null,"abstract":"<div><div>In this paper, the mixed equilibrium problem with coupled inequality constraints in dynamic environments is solved by employing a multi-agent system, where each agent only has access to its own bifunction, its own constraint function, and can communicate with its immediate neighbors via a time-varying digraph. At each time, the goal of agents is to cooperatively find a point in the constraint set such that the sum of local bifunctions with a free variable is non-negative. Different from existing works, here the bifunctions and the constraint functions are time-varying and only available to agents after decisions are made. To tackle this problem, first, an online distributed algorithm involving the accurate gradient information is proposed based on mirror descent algorithms and primal–dual strategies. Of particular interest is that dynamic regrets, whose offline benchmarks are to find the solution at each time, are employed to measure the performance of the algorithm. Under mild assumptions on the graph and the bifunctions, we prove that if the deviation in the solution sequence grows within a certain rate, then both the dynamic regret and the violation of coupled inequality constraints increase sublinearly. Second, considering the case where each agent only has access to a noisy estimate on the accurate gradient, we propose an online distributed algorithm involving the stochastic gradients. The result shows that under the same conditions as in the first case, if the noise distribution satisfies the sub-Gaussian condition, then dynamic regrets, as well as constraint violations, increase sublinearly with high probability. Finally, several simulation examples are presented to corroborate the validity of our results.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112771"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145822799","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 distributed optimal cluster formation control for MASs with predefined-time convergence via hybrid zero-sum-game strategy","authors":"Hao-Yang Zhu , Xiang-Gui Guo , Li-Ying Hao , Wei-Wei Che , Zheng-Guang Wu","doi":"10.1016/j.automatica.2025.112750","DOIUrl":"10.1016/j.automatica.2025.112750","url":null,"abstract":"<div><div>This paper addresses the distributed predefined-time optimal cluster formation control problem for nonlinear multi-agent systems (MASs) subject to disturbances and deception attacks (DAs) utilizing a three-player hybrid zero-sum-game (ZSG) strategy. Unlike conventional distributed designs that tightly couple agents’ collaboration with individual control rules, the proposed hierarchical framework decouples these regulations and divides the control design into two layers, i.e., a distributed estimator layer and a local optimal control layer. First, a predefined-time distributed target estimator is constructed for each follower to reconstruct the group leader’s position within a predefined settling time. Benefiting from a meticulously designed adaptive coupling gain, the proposed estimator is fully distributed without depending on any global information of the communication topology. Second, a game-based optimal control strategy is designed for each agent such that the desired cluster formation pattern can be achieved in a predefined time. A fuzzy reinforcement learning scheme is developed to approximate the Nash equilibrium solution of the formulated hybrid-ZSG strategy. It is worth mentioning that, unlike existing three-player hybrid-ZSG strategies that rely on the output information of neighboring agents, the equilibrium solution of the proposed strategy depends solely on each agent’s own state information, thereby effectively decoupling the strategies of neighboring agents. Finally, numerical simulations validate the effectiveness and superiority of the proposed approach.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112750"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145799604","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
AutomaticaPub Date : 2026-03-01Epub Date: 2025-12-18DOI: 10.1016/j.automatica.2025.112764
Wenxue Zhang , Ali Hajbabaie , Massinissa Amrouche , Yichuan Li , Dusan M. Stipanovic
{"title":"A closed-form avoidance control for safe maneuvering of multiple car-like vehicles","authors":"Wenxue Zhang , Ali Hajbabaie , Massinissa Amrouche , Yichuan Li , Dusan M. Stipanovic","doi":"10.1016/j.automatica.2025.112764","DOIUrl":"10.1016/j.automatica.2025.112764","url":null,"abstract":"<div><div>This paper presents a novel closed-form feedback control design with mathematically proven collision-free maneuvers for four-wheel car-like vehicles. New avoidance and switching functions are constructed to avoid various types of obstacles as well as obey road motion constraints. The key distinction lies in the activation of avoidance control, which is triggered based on the derivative of the collision risk assessment function, rather than relying on the assessment function itself. This strategy mitigates overly conservative avoidance maneuvers while maintaining system safety with no compromise. Auxiliary trajectory with avoidance information feedback is established to balance tracking and avoidance. Furthermore, the inclusion of relative motion information in the switching functions not only makes the avoidance response smoother but also improves the overall dynamic performance. In technical terms and contributions, this paper offers theoretical guarantees for system stability and safety through Lyapunov analysis. The effectiveness of the proposed algorithm is further demonstrated through two examples: one showcasing cooperative avoidance in a dense obstacle environment, and the other highlighting safe overtaking and passing on a curved road.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112764"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145799644","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
AutomaticaPub Date : 2026-03-01Epub Date: 2025-12-29DOI: 10.1016/j.automatica.2025.112799
Sebin Gracy , Brian D.O. Anderson , Mengbin Ye , César A. Uribe
{"title":"Networked competitive bivirus SIS spread with higher order interactions","authors":"Sebin Gracy , Brian D.O. Anderson , Mengbin Ye , César A. Uribe","doi":"10.1016/j.automatica.2025.112799","DOIUrl":"10.1016/j.automatica.2025.112799","url":null,"abstract":"<div><div>The paper studies the simultaneous spread of two competing viruses over a network of population nodes with higher-order interactions (HOI), using a continuous-time time-invariant competitive bivirus networked susceptible–infected–susceptible (SIS) system. In this paper, by HOI, we mean interactions among group sizes of no more than three nodes. The first key contribution is to establish several important general properties for generic systems. Namely, there are a finite number of equilibria, each equilibrium is nondegenerate, and the system is a strongly monotone dynamical system. Put together, we establish that for almost all initial conditions, the system will converge to a stable equilibrium (of which there may be many). We then turn our focus to characterizing the existence and stability of the equilibria of this system, which are (i) the disease-free equilibrium (DFE), (ii) single-virus endemic equilibria, and (iii) coexistence equilibria (where both viruses are present). We present a range of conditions on the existence or nonexistence of various equilibria. Two key features underpin our results: First, we substantially relax the connectivity conditions of the network relative to existing literature. More specifically, for securing several important general properties for generic systems, we do <em>not</em> require strong connectivity of the standard pairwise interaction graph. Second, we identify dynamical phenomena, including multiple stable equilibria, which are known to be impossible without HOI. The latter illustrates the novel insights that are obtained by including HOI into models of epidemic spread. Finally, we illustrate our results using a real-world large-scale network.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112799"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884867","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
AutomaticaPub Date : 2026-03-01Epub Date: 2025-12-22DOI: 10.1016/j.automatica.2025.112800
Chao Zhou, Zehui Mao, Bin Jiang
{"title":"Backstepping-based fault-tolerant control for strict-feedback nonlinear multi-agent systems: An encoding–decoding scheme","authors":"Chao Zhou, Zehui Mao, Bin Jiang","doi":"10.1016/j.automatica.2025.112800","DOIUrl":"10.1016/j.automatica.2025.112800","url":null,"abstract":"<div><div>In this paper, the fault-tolerant consensus tracking control problem is investigated for a class of discrete-time strict-feedback nonlinear multi-agent systems with sensor faults. The sensor faults are described by the first-order difference equations. By leveraging the augmented state observer structure, an auxiliary nonlinear system is first constructed in a non-strict feedback form, based on which a backstepping-based control framework is established. The consensus tracking errors are directly incorporated into the virtual control to preserve the distributed structure of the controller. Furthermore, in order to alleviate the communication burden and enhance the transmission security, an encoding–decoding scheme is adopted during the information exchange among agents. Accordingly, an encoding–decoding-based distributed controller is proposed, guaranteeing that the output tracking error is uniformly ultimately bounded and the transmitted data is conditionally bounded. Finally, a numerical example is provided to validate the effectiveness of the proposed backstepping-based control framework.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112800"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145841796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
AutomaticaPub Date : 2026-03-01Epub Date: 2025-12-22DOI: 10.1016/j.automatica.2025.112776
Joel A. Rosenfeld , Benjamin P. Russo , Rushikesh Kamalapurkar
{"title":"Dynamic mode decomposition of higher order systems","authors":"Joel A. Rosenfeld , Benjamin P. Russo , Rushikesh Kamalapurkar","doi":"10.1016/j.automatica.2025.112776","DOIUrl":"10.1016/j.automatica.2025.112776","url":null,"abstract":"<div><div>Conventionally, data driven identification and control problems for higher order dynamical systems are solved by augmenting the system state by the derivatives of the output to formulate first order dynamical systems in higher dimensions. However, solution of the augmented problem typically requires knowledge of the full augmented state, which requires numerical differentiation of the original output, frequently resulting in noisy signals. This manuscript develops the theory necessary for a direct analysis of higher order dynamical systems using higher order Liouville operators. Fundamental to this theoretical development is the introduction of signal valued RKHSs and new operators posed over these spaces. Ultimately, it is observed that despite the added abstractions, the necessary computations are remarkably similar to that of first order DMD methods using occupation kernels.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112776"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145841803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}