{"title":"Identifiable specializations for ODE models","authors":"Alexey Ovchinnikov , Anand Pillay , Gleb Pogudin , Thomas Scanlon","doi":"10.1016/j.sysconle.2025.106226","DOIUrl":"10.1016/j.sysconle.2025.106226","url":null,"abstract":"<div><div>The parameter identifiability problem for a dynamical system is to determine whether the parameters of the system can be found from data for the outputs of the system. Verifying whether the parameters are identifiable is a necessary first step before a meaningful parameter estimation can take place. Non-identifiability occurs in practical models. To reparametrize a model to achieve identifiability is a challenge. The existing approaches have been shown to be useful for many important examples. However, these approaches are either limited to linear models and scaling parametrizations or are not guaranteed to find a reparametrization even if it exists. In the present paper, we prove that there always exists a locally identifiable model with the same input–output behavior as the original one obtained from a given one by a partial specialization of the parameters. Our result applies to parametric rational ODE models with or without input, and our algorithm can find non-scaling reparametrizations. As an extra feature of our approach, the resulting (at least) locally identifiable reparametrization has the same shape: the monomials in the new state variables in the new model are formed in the same way as in the original model. Furthermore, we give a sufficient observability condition for the existence of a state space transformation from the original model to the new one. Our proof is constructive and can be translated to an algorithm, which we illustrate by several examples, with and without inputs.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106226"},"PeriodicalIF":2.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144932140","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}
Yiming Wu , Nan Tang , Xiaozhen Pan , Ming Xu , Shuai Liu
{"title":"Adaptive sampling-based event-triggered consensus for multi-agent systems","authors":"Yiming Wu , Nan Tang , Xiaozhen Pan , Ming Xu , Shuai Liu","doi":"10.1016/j.sysconle.2025.106218","DOIUrl":"10.1016/j.sysconle.2025.106218","url":null,"abstract":"<div><div>This brief addresses the event-triggered consensus problem of linear multi-agent systems (MASs) considered limited resources. A novel adaptive sampling dynamic event-triggered control (ASDETC) is proposed. It incorporates an inner self-learning term into the triggering conditions, enabling each agent to adaptively adjust its sampling detection interval based on the frequency of event triggering. To ensure effectiveness, a detection interval updating algorithm is developed. Further, we consider the adaptive sampling-based event-triggered consensus issue in directed and switching topology. With the aid of Lyapunov analysis, it is demonstrated that ASDETC can drive the MAS towards exponential consensus while effectively avoiding potential Zeno behavior. Finally, numerical simulations are conducted to validate the results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106218"},"PeriodicalIF":2.5,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144921303","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":"Maximum principle for optimal control problems of extended mean-field forward–backward regime-switching systems with general singular controls","authors":"Hongyu Shi, Zhen Wu","doi":"10.1016/j.sysconle.2025.106216","DOIUrl":"10.1016/j.sysconle.2025.106216","url":null,"abstract":"<div><div>We study the optimal control problems for a class of extended mean-field forward–backward regime-switching systems with general singular controls, where the coefficients depend, nonlinearly, on the state and the control process as well as on their law. In particular, we assume that the singular control is a general finite variation process that is not necessarily non-negative non-decreasing. By virtue of separation and variational methods, we establish the related stochastic maximum principle, which consists of two components: the absolutely continuous part and the singular part. It is essentially different from that in the classical situation. Additionally, we obtain the verification theorem for optimal control problems under certain convexity assumptions. Since this paper extends singular controls to general finite variation processes, our conclusions can be applied to optimal impulse control problems. Finally, we also provide the feedback representation for the optimal singular control of a class of linear quadratic problems.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106216"},"PeriodicalIF":2.5,"publicationDate":"2025-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144917723","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":"Adaptive prescribed-time stabilization for uncertain unmeasured-state-dependent systems","authors":"Yuan Wang, Yungang Liu","doi":"10.1016/j.sysconle.2025.106228","DOIUrl":"10.1016/j.sysconle.2025.106228","url":null,"abstract":"<div><div>This paper proposes an adaptive output-feedback scheme for prescribed-time stabilization of uncertain unmeasured-state-dependent systems. Notably, the systems admit nonlinearities with unknown arbitrary function-of-output growth rate and for the first time allow state-dependent disturbances. The two ingredients lead to the stabilization rather intractable and appeal to new methods and analysis routes. We propose a dynamic-high-gain prescribed-time filter-based observer which owns control-free and tractable error dynamics. This novel and concise observer makes controller design and performance analysis possible. By devising a new set of time-varying scalings, an entire system is obtained whose boundedness amounts to the wanted prescribed-time convergence. From the entire system, the adaptive controller is designed. The dynamics of high gains are endowed with multiple components. It is by the tailored components that the boundedness of the high gains is ensured, getting rid of the noticeable theoretical flaw that the high gains are unbounded in the literature.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106228"},"PeriodicalIF":2.5,"publicationDate":"2025-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144917724","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":"Stabilization of nonlinear nonholonomic systems with multiplicative stochastic state sensing noise","authors":"Jiabao Gu, Wei Meng","doi":"10.1016/j.sysconle.2025.106227","DOIUrl":"10.1016/j.sysconle.2025.106227","url":null,"abstract":"<div><div>This paper studies the stabilization of nonlinear nonholonomic systems with multiplicative stochastic sensor uncertainty. Compared with existing results on nonlinear nonholonomic systems, this paper considers the influence of stochastic noise on sensors. Specifically, by applying the backstepping method and the input-to-state scaling technique, a new control design scheme is developed in which the control gain is appropriately designed to deal with sensor noise and the nonlinear functions simultaneously. By employing tools from stochastic analysis, it is verified that the closed-loop system almost surely has a unique global solution, that its origin is mean square stable, and that the state can almost surely be adjusted to zero. Finally, two examples are presented to verify the proposed control scheme.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106227"},"PeriodicalIF":2.5,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144912868","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 prescribed performance control of affine parameter-varying systems with an application in aero engines","authors":"Jiaxi Zhang, Ji Wang, Jianping Zeng","doi":"10.1016/j.sysconle.2025.106221","DOIUrl":"10.1016/j.sysconle.2025.106221","url":null,"abstract":"<div><div>This paper considers the prescribed performance problem for a class of affine parameter-varying systems. First, a novel performance function with a fixed convergence time is used to limit the system’s tracking error so that the system satisfies the steady-state and transient performance constraints. Notably, the performance function proposed in this paper converges within a fixed time, and its initial value can be automatically adjusted according to the initial tracking error. Subsequently, we transform the multi-performance constraint problem into an equivalent stabilization problem through error transformation. Finally, a method called “feedback negative definitization” is developed to design the controller, and the Lyapunov theorem is used to demonstrate the closed-loop system’s stability. Simulation examples on a numerical affine parameter-varying system and a turbofan engine system are provided to show the effectiveness of the proposed method.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106221"},"PeriodicalIF":2.5,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144895176","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 Trajectory Optimization on Matrix Lie Groups via Lie-Algebraic Differential Dynamic Programming","authors":"Gokhan Alcan , Fares J. Abu-Dakka , Ville Kyrki","doi":"10.1016/j.sysconle.2025.106220","DOIUrl":"10.1016/j.sysconle.2025.106220","url":null,"abstract":"<div><div>Matrix Lie groups are an important class of manifolds commonly used in control and robotics, and optimizing control policies on these manifolds is a fundamental problem. In this work, we propose a novel augmented Lagrangian-based constrained Differential Dynamic Programming (DDP) approach specifically designed for trajectory optimization on matrix Lie groups. Our method formulates the optimization problem in the error-state space, employs automatic differentiation during the backward pass, and ensures manifold consistency through discrete-time Lie-group integration during the forward pass. Unlike previous methods limited to specific manifold classes, our approach robustly handles generic nonlinear constraints across arbitrary matrix Lie groups and exhibits resilience to constraint violations during training. We evaluate the proposed DDP algorithm through extensive experiments, demonstrating its efficacy in managing constraints within a rigid-body mechanical system on SE(3), its computational superiority compared to existing optimization solvers, robustness under external disturbances as a Lie-algebraic feedback controller, and effectiveness in trajectory optimization tasks including realistic quadrotor scenarios as underactuated systems and deformable objects whose deformation dynamics are represented in SL(2). The experimental results validate the generality, stability, and computational efficiency of our proposed method.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106220"},"PeriodicalIF":2.5,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144892044","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":"Results for the omega limit sets of dynamical systems","authors":"Iasson Karafyllis","doi":"10.1016/j.sysconle.2025.106223","DOIUrl":"10.1016/j.sysconle.2025.106223","url":null,"abstract":"<div><div>This paper provides two new results for the omega limit sets of a dynamical system. We show that omega limit sets can be estimated by using functions that satisfy different -and in some cases less demanding- assumptions than the usual assumptions in Lyapunov theorems and LaSalle’s theorem. An additional novel result is provided that contains as special cases the nested Matrosov theorem and the well-known Barbashin-Krasovskii-LaSalle theorem.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106223"},"PeriodicalIF":2.5,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144888904","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":"Non-asymptotic error analysis of subspace identification for deterministic systems","authors":"Shuai Sun","doi":"10.1016/j.sysconle.2025.106219","DOIUrl":"10.1016/j.sysconle.2025.106219","url":null,"abstract":"<div><div>The subspace identification method (SIM) has been extensively employed in the identification of discrete-time multiple-input multiple-output (MIMO) linear time-invariant (LTI) systems. This paper focuses on the analysis of perturbation errors for the system matrices in state-space models and the corresponding system poles, under two unified SIMs, based on a single finite-length input/output sample trajectory. Specifically, we derive non-asymptotic upper bounds on these errors, providing a unified perspective across various SIM variants. Furthermore, we prove that SIMs become ill-conditioned for MIMO systems when the state-to-output dimensionality ratio <span><math><mrow><mi>n</mi><mo>/</mo><mi>m</mi></mrow></math></span> is large, regardless of system parameters. Finally, numerical experiments are conducted to validate the non-asymptotic results and the ill-conditionedness of SIMs.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106219"},"PeriodicalIF":2.5,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144888905","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":"Differentially private distributed nash equilibrium seeking based on gradient tracking and communication compression","authors":"Zhen Zhang, Qingsheng Li, Yuan-Hua Ni","doi":"10.1016/j.sysconle.2025.106217","DOIUrl":"10.1016/j.sysconle.2025.106217","url":null,"abstract":"<div><div>Communication efficiency and privacy preservation are two critical challenges in distributed Nash equilibrium (NE) seeking for multi-agent systems. In this paper, we propose a novel algorithm, CGT-DPA, which integrates gradient tracking to enhance information aggregation and ensure convergence, while incorporating communication compression to significantly reduce communication overhead. Additionally, the algorithm enforces differential privacy, providing strong privacy guarantees in distributed settings. We rigorously prove that CGT-DPA achieves linear convergence to a neighborhood of the NE under strongly monotone mappings. Both theoretical analysis and numerical simulations validate the effectiveness of CGT-DPA in balancing communication efficiency, privacy preservation and convergence.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106217"},"PeriodicalIF":2.5,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144864656","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}