{"title":"Weak observability conditions for exponential and prescribed-time stabilization of non-autonomous bilinear systems","authors":"Hanan Najib, Soufiane Yahyaoui, Mohamed Ouzahra","doi":"10.1016/j.ejcon.2025.101255","DOIUrl":"10.1016/j.ejcon.2025.101255","url":null,"abstract":"<div><div>This paper explores the stabilization of abstract non-autonomous bilinear systems, focusing on two distinct forms of stabilization of the closed-loop system; namely the exponential stabilization which consists of converging exponentially fast towards an equilibrium point as time progresses, and prescribed time stabilization, which ensures the convergence within a specific time. We construct a feedback control by computing the time derivative of the system’s “energy”. Based on the theories of nonlinear maximal monotone operators and fixed point theory, we analyze the well-posedness of the system in closed-loop. Then, using a specific weak observability inequality, we prove the uniform exponential stability of the system in closed loop. Subsequently, We utilize the acquired findings to establish prescribed time stability. Finally, applications to some partial differential equations are given.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"85 ","pages":"Article 101255"},"PeriodicalIF":2.5,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144297483","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":"Analysis of novel 3D chaotic system, hidden coexisting, adaptive control, offset boosting control, and circuit implementation","authors":"Faiza Zaamoune , Imad Eddine Tinedert , Tidjani Menacer","doi":"10.1016/j.ejcon.2025.101259","DOIUrl":"10.1016/j.ejcon.2025.101259","url":null,"abstract":"<div><div>This study presents the construction of a novel three-dimensional system that includes three unstable points. The system exhibits three key properties. This system is identified as demonstrating chaotic behavior characterized by two nonlinear elements. Control-related issues are subsequently addressed through the design of the adaptive controller. The adaptive control method incorporates considerations for potential parameter uncertainty. Given that only a single state variable is accessible for the development of the feedback controller, it is concluded that one parameter remains entirely unspecified as a result of the employed methodology. The adaptive controller employs principles derived from Lyapunov stability analysis. The system was also shown to contain multiple hidden coexisting states within a specified parameter range. The combined influence of novel features has not yet been monitored in a chaotic system characterized by unstable equilibrium points. An electronic analogue circuit of the novel chaotic system was developed using MultiSIM, thereby demonstrating the practical viability of the mathematical model for circuit implementation.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"84 ","pages":"Article 101259"},"PeriodicalIF":2.5,"publicationDate":"2025-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272480","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":"Aperiodically intermittent synchronization and H∞ synchronization of coupled reaction–diffusion complex-valued neural networks","authors":"Yuqing Jia , Yanli Huang","doi":"10.1016/j.ejcon.2025.101258","DOIUrl":"10.1016/j.ejcon.2025.101258","url":null,"abstract":"<div><div>In this paper, coupled reaction–diffusion complex-valued neural networks (CRDCVNNs) with state coupling and spatial diffusion coupling are investigated concerning their aperiodically intermittent synchronization and aperiodically intermittent <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> synchronization problems. Firstly, by employing the Lyapunov functional and mathematical inequality techniques, we analyze the aperiodically intermittent synchronization of CRDCVNNs with state coupling and spatial diffusion coupling, and derive several sufficient synchronization conditions for these types of networks. Secondly, the aperiodically intermittent <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> synchronization of CRDCVNNs with state coupling and spatial diffusion coupling is studied, and the corresponding criteria are established. At last, numerical simulations of two examples are conducted to verify the accuracy and effectiveness of the proposed strategy.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"84 ","pages":"Article 101258"},"PeriodicalIF":2.5,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272481","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}
Zhiming Qiao, Jian-An Wang, Ruirui Cai, Mingjie Li, Jie Zhang
{"title":"Fixed-time synchronization of intermittently coupled complex networks with coupling delay via economical controllers","authors":"Zhiming Qiao, Jian-An Wang, Ruirui Cai, Mingjie Li, Jie Zhang","doi":"10.1016/j.ejcon.2025.101253","DOIUrl":"10.1016/j.ejcon.2025.101253","url":null,"abstract":"<div><div>This paper focuses on the investigation of fixed-time synchronization in intermittently coupled complex networks that exhibit coupling delay. A novel fixed-time stability lemma is introduced, which encompasses complete aperiodic intermittent characteristics and has a more straightforward formulation relative to prior research. An economical intermittent controller is designed based on the concept of the average control rate. Employing Lyapunov stability theory, adequate criteria are established to guarantee fixed-time synchronization of dynamical networks. Ultimately, numerical simulations are performed to demonstrate the effectiveness and practicality of the proposed methodologies.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"84 ","pages":"Article 101253"},"PeriodicalIF":2.5,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170095","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":"Event-trigger-based composite leader-following consensus control for stochastic multi-agent systems","authors":"Baoyu Wen, Jiangshuai Huang","doi":"10.1016/j.ejcon.2025.101251","DOIUrl":"10.1016/j.ejcon.2025.101251","url":null,"abstract":"<div><div>This paper investigates the leader-following output-feedback control problems for stochastic multi-agent systems (SMASs) with each agent’s model in the form of strict-feedback. For the case where the states of each agents are assumed to be unknown, a type of high-gain observers are developed. On this basis, and by incorporating an dynamic variable, a dynamic event-triggered controller is formulated, depending exclusively on the output information of adjacent agents. In addition, a self-triggering mechanism is introduced to mitigate the need for continuous states monitoring. By employing the algebra graph theory and stochastic analysis, the 1th moment exponential leader-following consensus for the SMASs can be proved. The efficacy of theoretical results is corroborated through simulation results.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"84 ","pages":"Article 101251"},"PeriodicalIF":2.5,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144106722","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":"A low computation saturated controller for a quadcopter position tracking with stability and convoluted input constraints guarantees","authors":"Huu-Thinh Do , Franco Blanchini , Ionela Prodan","doi":"10.1016/j.ejcon.2025.101236","DOIUrl":"10.1016/j.ejcon.2025.101236","url":null,"abstract":"<div><div>In the class of differentially flat systems, nonlinear dynamics can be transformed into an equivalent linear representation via a coordinate change and an input mapping. Despite this beneficial linearization, one significant hindrance is that the system constraints have a convoluted form in the new space (the flat output space), which is usually disregarded in the literature or bypassed via conservative approximation of the feasible domain. In this paper, based on a pre-stabilization design and a novel input saturation component, the nonlinear input constraints are particularly handled for the position tracking problem of quadcopters in the flat output space. While the system’s stability is shown to hold by Lyapunov arguments, the practical viability of the method is validated both in simulation and experiments over a nano-drone platform. Moreover, with the explicit solution introduced for the proposed saturation function, this flatness-based saturated controller not only ensures stability and constraints satisfaction, but also requires low computational effort, allowing possible embedded implementations.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"84 ","pages":"Article 101236"},"PeriodicalIF":2.5,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144106721","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":"Recursive identification of structured systems: An instrumental-variable approach applied to mechanical systems","authors":"Koen Classens , Rodrigo A. González , Tom Oomen","doi":"10.1016/j.ejcon.2025.101238","DOIUrl":"10.1016/j.ejcon.2025.101238","url":null,"abstract":"<div><div>Online system identification algorithms are widely used for monitoring, diagnostics and control by continuously adapting to time-varying dynamics. Typically, these algorithms consider a model structure that lacks parsimony and offers limited physical interpretability. The objective of this paper is to develop a real-time parameter estimation algorithm aimed at identifying time-varying dynamics within an interpretable model structure. An additive model structure is adopted for this purpose, which offers enhanced parsimony and is shown to be particularly suitable for mechanical systems. The proposed approach integrates the recursive simplified refined instrumental variable method with block-coordinate descent to minimize an exponentially-weighted output error cost function. This novel recursive identification method delivers parametric continuous-time additive models and is applicable in both open-loop and closed-loop controlled systems. Its efficacy is shown using numerical simulations and is further validated using experimental data to detect the time-varying resonance dynamics of a flexible beam system. These results demonstrate the effectiveness of the proposed approach for online and interpretable estimation for advanced monitoring and control applications.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"84 ","pages":"Article 101238"},"PeriodicalIF":2.5,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144106720","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":"Beyond Singular Perturbation for linear port-Hamiltonian systems","authors":"Mario Spirito , Bernhard Maschke , Yann Le Gorrec","doi":"10.1016/j.ejcon.2025.101237","DOIUrl":"10.1016/j.ejcon.2025.101237","url":null,"abstract":"<div><div>This paper is concerned with the structure/passivity-preserving model order reduction of linear port-Hamiltonian systems. We first present, with the help of the implicit port-Hamiltonian formulation, some issues related to the standard Singular Perturbation technique. We use a simple example to analyze these aspects, paving the way for a recent approach developed to reduce the model order, called Beyond Singular Perturbation. This technique leverages the description of the dominant evolution of the original system whenever a time-scale separation is present among its dynamics. With this tool, we study the system’s Hamiltonian time evolution, showing that we can successfully reconstruct the dominant behavior of the Hamiltonian by slightly modifying the storage function of the resulting reduced-order model. We conclude the work with a discussion about the class of input signals that allow a good performance of the reduced-order model.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"84 ","pages":"Article 101237"},"PeriodicalIF":2.5,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144116989","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":"Static-output-feedback robust H∞ control for actively controlled systems considering uncertain input time delay","authors":"Yuanguang Zheng, Yu Shao, Zhiqiang Yu","doi":"10.1016/j.ejcon.2025.101240","DOIUrl":"10.1016/j.ejcon.2025.101240","url":null,"abstract":"<div><div>This paper addresses the static output feedback control problem for systems with uncertain input time delay and proposes a robust control method that ensures <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance. Departing from traditional approaches based on Lyapunov–Krasovskii functionals, this work introduces a novel combination of time scale transformation, Chebyshev spectral continuous-time approximation, and cone complementarity linearization methods. Initially, the system with uncertain input time delay is reformulated into a delay-free system by introducing some specific augmented matrices, ensuring the solvability of the transformed system. Subsequently, robust <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> control is applied to this delay-free model, and a tailored iterative algorithm is developed to solve the bilinear matrix inequalities inherent in the control design, leading to the computation of the feedback gain matrix. The proposed method’s effectiveness is demonstrated through numerical case studies.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"84 ","pages":"Article 101240"},"PeriodicalIF":2.5,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143928198","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":"Fixed-time containment control for stochastic multi-agent systems with state constraints","authors":"Jing OuYang, Hui Yu","doi":"10.1016/j.ejcon.2025.101241","DOIUrl":"10.1016/j.ejcon.2025.101241","url":null,"abstract":"<div><div>This paper addresses the fixed-time containment control issue of stochastic <span><math><mi>p</mi></math></span>-normal nonlinear multi-agent systems with input saturation and state constraints via event-triggered strategy. The uncertain dynamics of the systems are parameterized by fuzzy logic systems. Two nonlinear transformation functions are introduced to handle the state constraint issue. To deal with the input saturation, the saturation degree function is introduced. In multi-agent networks with limited communication resources, event-triggered distributed mechanisms for each agent are designed, in which the threshold parameters are adjustable according to the tracking performance. An adaptive fuzzy containment control scheme is proposed such that the multi-agent system is practically fixed-time stability in probability. Finally, the theoretical results are validated by computer simulation.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"84 ","pages":"Article 101241"},"PeriodicalIF":2.5,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143912201","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}