Pub Date : 2025-10-24DOI: 10.1109/LCSYS.2025.3625473
Xiaofeng Zong;Xuping Hou;Fuke Wu;Xuerong Mao
Motivated by the proportional integral (PI) control theory of deterministic systems, this letter aims to establish the PI-type control theory for stochastic systems, including the standard PI control and the proportional fragment-integral (PFI) control. For the standard PI control of stochastic functional systems (SFSs), the mean square and almost sure stabilization criteria are investigated, and then the explicit design of the proportional gain and the integral gain is obtained. It is revealed that the proportional gain matrix can be firstly designed and then the negative definite integral gain matrix can be determined based on the design of the proportional gain matrix. For the PFI control, the joint design of the proportional gain and the fragment-integral gain is proposed. It is shown that the fragment integral can work positively for the stabilization. Finally, the numerical methods are also proposed to approximate the two-type closed-loop SFSs and the simulation examples are given to confirm the theoretical results.
{"title":"Stabilization of Stochastic Functional Systems via PI-Type Controls","authors":"Xiaofeng Zong;Xuping Hou;Fuke Wu;Xuerong Mao","doi":"10.1109/LCSYS.2025.3625473","DOIUrl":"https://doi.org/10.1109/LCSYS.2025.3625473","url":null,"abstract":"Motivated by the proportional integral (PI) control theory of deterministic systems, this letter aims to establish the PI-type control theory for stochastic systems, including the standard PI control and the proportional fragment-integral (PFI) control. For the standard PI control of stochastic functional systems (SFSs), the mean square and almost sure stabilization criteria are investigated, and then the explicit design of the proportional gain and the integral gain is obtained. It is revealed that the proportional gain matrix can be firstly designed and then the negative definite integral gain matrix can be determined based on the design of the proportional gain matrix. For the PFI control, the joint design of the proportional gain and the fragment-integral gain is proposed. It is shown that the fragment integral can work positively for the stabilization. Finally, the numerical methods are also proposed to approximate the two-type closed-loop SFSs and the simulation examples are given to confirm the theoretical results.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"9 ","pages":"2429-2434"},"PeriodicalIF":2.0,"publicationDate":"2025-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145405244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-10-22DOI: 10.1109/LCSYS.2025.3624185
Reid D. Smith;Andrew G. Alleyne
Iterative learning control (ILC) methods which track sets rather than a reference throughout an iteration, namely region-to-region (RTR) ILC and set-to-set (STS) ILC, have assumed that external disturbances are purely repetitive. However, in real-world applications, non-repetitive disturbances will likely be present, both on the state and output channels of the plant. These non-repetitive disturbances lead to challenges in ensuring that the sets for tracking will be achieved throughout each iteration. While STS ILC has been shown to outperform RTR ILC for purely repetitive disturbances, this letter develops a novel STS ILC architecture which incorporates feedback control and tightening of the sets to ensure that the sets are achieved despite the unknown, non-repetitive disturbances. A conservative bound for the necessary tightening of the sets is derived and a simulation-based case study demonstrates the novel STS ILC’s ability to achieve the sets while outperforming alternative ILC approaches.
{"title":"Set-to-Set Iterative Learning Control for Non-Repetitive Disturbances","authors":"Reid D. Smith;Andrew G. Alleyne","doi":"10.1109/LCSYS.2025.3624185","DOIUrl":"https://doi.org/10.1109/LCSYS.2025.3624185","url":null,"abstract":"Iterative learning control (ILC) methods which track sets rather than a reference throughout an iteration, namely region-to-region (RTR) ILC and set-to-set (STS) ILC, have assumed that external disturbances are purely repetitive. However, in real-world applications, non-repetitive disturbances will likely be present, both on the state and output channels of the plant. These non-repetitive disturbances lead to challenges in ensuring that the sets for tracking will be achieved throughout each iteration. While STS ILC has been shown to outperform RTR ILC for purely repetitive disturbances, this letter develops a novel STS ILC architecture which incorporates feedback control and tightening of the sets to ensure that the sets are achieved despite the unknown, non-repetitive disturbances. A conservative bound for the necessary tightening of the sets is derived and a simulation-based case study demonstrates the novel STS ILC’s ability to achieve the sets while outperforming alternative ILC approaches.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"9 ","pages":"2441-2446"},"PeriodicalIF":2.0,"publicationDate":"2025-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=11214232","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145405245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-10-22DOI: 10.1109/LCSYS.2025.3624329
Tu Zhang;Guobao Zhang;Amr Alanwar;Yongming Huang
This letter investigates the privacy-preserving consensus for multi-agent systems under affine transformation. To avoid privacy exposure, the true system state is reformulated into a new auxiliary state by adopting an affine transformation. By employing the consensus compensator under the analysis framework of output consensus, the original privacy-preserving consensus of homogeneous multi-agent systems (MASs) is reformulated into the equivalent non-privacy-preserving output consensus of heterogeneous MASs. Resorting to the Lyapunov function method, the design parameters are obtained such that the exact consensus value, instead of mean-square consensus, is achieved over both finite and infinite time domains. A simulation is utilized to validate the supplied method.
{"title":"An Affine Transformation Method to Privacy-Preserving Consensus for Multi-Agent Systems","authors":"Tu Zhang;Guobao Zhang;Amr Alanwar;Yongming Huang","doi":"10.1109/LCSYS.2025.3624329","DOIUrl":"https://doi.org/10.1109/LCSYS.2025.3624329","url":null,"abstract":"This letter investigates the privacy-preserving consensus for multi-agent systems under affine transformation. To avoid privacy exposure, the true system state is reformulated into a new auxiliary state by adopting an affine transformation. By employing the consensus compensator under the analysis framework of output consensus, the original privacy-preserving consensus of homogeneous multi-agent systems (MASs) is reformulated into the equivalent non-privacy-preserving output consensus of heterogeneous MASs. Resorting to the Lyapunov function method, the design parameters are obtained such that the exact consensus value, instead of mean-square consensus, is achieved over both finite and infinite time domains. A simulation is utilized to validate the supplied method.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"9 ","pages":"2435-2440"},"PeriodicalIF":2.0,"publicationDate":"2025-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145405270","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-10-20DOI: 10.1109/LCSYS.2025.3623658
Jiwei Wang;Simone Baldi;Wenwu Yu;Xiang Yin
Artificially introducing a delay in the observations of a system can be an effective mechanism to mask the system itself, with the goal to increase its opacity and thus its security. This letter investigates opacity in discrete event systems with delayed observations. We focus on two questions: how to verify opacity under delayed observations, and how to synthesize sensor activation policies that guarantee opacity under such delayed conditions. To address these questions, we first introduce the definition of opacity under delayed observation and develop a corresponding verification method. We then extend such analysis tool into a synthesis tool by proposing an optimization approach for designing sensor activation policies guaranteeing opacity under delayed observations. An example is used to illustrate the analysis and synthesis procedures.
{"title":"Enforcing Opacity in Discrete Event Systems via Delayed Observations","authors":"Jiwei Wang;Simone Baldi;Wenwu Yu;Xiang Yin","doi":"10.1109/LCSYS.2025.3623658","DOIUrl":"https://doi.org/10.1109/LCSYS.2025.3623658","url":null,"abstract":"Artificially introducing a delay in the observations of a system can be an effective mechanism to mask the system itself, with the goal to increase its opacity and thus its security. This letter investigates opacity in discrete event systems with delayed observations. We focus on two questions: how to verify opacity under delayed observations, and how to synthesize sensor activation policies that guarantee opacity under such delayed conditions. To address these questions, we first introduce the definition of opacity under delayed observation and develop a corresponding verification method. We then extend such analysis tool into a synthesis tool by proposing an optimization approach for designing sensor activation policies guaranteeing opacity under delayed observations. An example is used to illustrate the analysis and synthesis procedures.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"9 ","pages":"2411-2416"},"PeriodicalIF":2.0,"publicationDate":"2025-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145351999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-10-20DOI: 10.1109/LCSYS.2025.3623660
Karthik Shenoy;Arun D. Mahindrakar;Umesh Vaidya
This letter focuses on a safety-critical solution to equality-constrained nonlinear programming, where the cost and the constraints vary continuously over time. To address this problem, we propose a continuous-time dynamical system with a quadratic-program (QP)-based feedback. The control barrier equality is treated as the hard constraint in the QP to enforce safety, and the control Lyapunov inequality is treated as the soft constraint for tracking the non-stationary minimizer. We show that the tracking error dynamics is locally uniformly ultimately bounded, and we establish uniform exponential stability in the presence of feedforward prediction. As an application, we solve the time-varying Procrustes problem, which is a time-varying optimization problem on an embedded submanifold of the Euclidean space.
{"title":"Safe Time-Varying Nonlinear Programming With Equality Constraints","authors":"Karthik Shenoy;Arun D. Mahindrakar;Umesh Vaidya","doi":"10.1109/LCSYS.2025.3623660","DOIUrl":"https://doi.org/10.1109/LCSYS.2025.3623660","url":null,"abstract":"This letter focuses on a safety-critical solution to equality-constrained nonlinear programming, where the cost and the constraints vary continuously over time. To address this problem, we propose a continuous-time dynamical system with a quadratic-program (QP)-based feedback. The control barrier equality is treated as the hard constraint in the QP to enforce safety, and the control Lyapunov inequality is treated as the soft constraint for tracking the non-stationary minimizer. We show that the tracking error dynamics is locally uniformly ultimately bounded, and we establish uniform exponential stability in the presence of feedforward prediction. As an application, we solve the time-varying Procrustes problem, which is a time-varying optimization problem on an embedded submanifold of the Euclidean space.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"9 ","pages":"2417-2422"},"PeriodicalIF":2.0,"publicationDate":"2025-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145351972","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-10-20DOI: 10.1109/LCSYS.2025.3623945
Alexis M. H. Teter;Abhishek Halder;Michael D. Schneider;Alexx S. Perloff;Jane Pratt;Conor M. Artman;Maria Demireva
From a stochastic control perspective, the Schrödinger bridge is a density-valued continuous curve parameterized by time that connects a given pair of initial and terminal probability densities via minimum effort controlled Brownian motion. The control-affine Schrödinger bridge extends this idea to a generic control-affine Itô diffusion, possibly with an additive state cost. In this letter, we recast the necessary conditions of optimality for the control-affine Schrödinger bridge problem as a two point boundary value problem for a quantum mechanical Schrödinger PDE with complex potential. This complex-valued potential is a generalization of the real-valued Bohm potential in quantum mechanics. Our derived potential is akin to the optical potential in nuclear physics where the real part of the potential encodes elastic scattering (transmission of wave function), and the imaginary part encodes inelastic scattering (absorption of wave function). The key takeaway is that the process noise that drives the evolution of probability densities induces an absorbing medium in the evolution of wave function. These results make new connections between control theory and non-equilibrium statistical mechanics through the lens of quantum mechanics.
{"title":"Control-Affine Schrödinger Bridge and Generalized Bohm Potential","authors":"Alexis M. H. Teter;Abhishek Halder;Michael D. Schneider;Alexx S. Perloff;Jane Pratt;Conor M. Artman;Maria Demireva","doi":"10.1109/LCSYS.2025.3623945","DOIUrl":"https://doi.org/10.1109/LCSYS.2025.3623945","url":null,"abstract":"From a stochastic control perspective, the Schrödinger bridge is a density-valued continuous curve parameterized by time that connects a given pair of initial and terminal probability densities via minimum effort controlled Brownian motion. The control-affine Schrödinger bridge extends this idea to a generic control-affine Itô diffusion, possibly with an additive state cost. In this letter, we recast the necessary conditions of optimality for the control-affine Schrödinger bridge problem as a two point boundary value problem for a quantum mechanical Schrödinger PDE with complex potential. This complex-valued potential is a generalization of the real-valued Bohm potential in quantum mechanics. Our derived potential is akin to the optical potential in nuclear physics where the real part of the potential encodes elastic scattering (transmission of wave function), and the imaginary part encodes inelastic scattering (absorption of wave function). The key takeaway is that the process noise that drives the evolution of probability densities induces an absorbing medium in the evolution of wave function. These results make new connections between control theory and non-equilibrium statistical mechanics through the lens of quantum mechanics.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"9 ","pages":"2453-2458"},"PeriodicalIF":2.0,"publicationDate":"2025-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145455769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-10-20DOI: 10.1109/LCSYS.2025.3623948
Jianwu Tao;Shiru Guo;Wenchao Ji
This letter focuses on estimating the position and velocity of a moving source in 3 dimension (3D) space, using hybrid angle of arrival (AOA) and time difference of arrival (TDOA) measurements observed by a single moving receiver. In order to characterize the motion of the relative range between source and receiver, the components of the relative velocity and acceleration are firstly represented in a spherical coordinate frame. Then, the relations between these components and AOA measurements are modeled together with the relations between the source localization and TDOA measurements. This unified model can be reformulated as a constrained least squares (LS) problem and a closed-form solution can be obtained by using the squared range difference LS (SRD-LS). Finally, the Cramer-Rao Bound (CRB) is derived for unified model. Numerical simulations show the validity of the proposed method.
{"title":"Air-Based Passive Localization for a Moving Source Using Hybrid AOA–TDOA","authors":"Jianwu Tao;Shiru Guo;Wenchao Ji","doi":"10.1109/LCSYS.2025.3623948","DOIUrl":"https://doi.org/10.1109/LCSYS.2025.3623948","url":null,"abstract":"This letter focuses on estimating the position and velocity of a moving source in 3 dimension (3D) space, using hybrid angle of arrival (AOA) and time difference of arrival (TDOA) measurements observed by a single moving receiver. In order to characterize the motion of the relative range between source and receiver, the components of the relative velocity and acceleration are firstly represented in a spherical coordinate frame. Then, the relations between these components and AOA measurements are modeled together with the relations between the source localization and TDOA measurements. This unified model can be reformulated as a constrained least squares (LS) problem and a closed-form solution can be obtained by using the squared range difference LS (SRD-LS). Finally, the Cramer-Rao Bound (CRB) is derived for unified model. Numerical simulations show the validity of the proposed method.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"9 ","pages":"2405-2410"},"PeriodicalIF":2.0,"publicationDate":"2025-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145351902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-10-20DOI: 10.1109/LCSYS.2025.3623632
Shuhan Huang;Wenqi Song;Quan Quan
This letter proposes a new notion of virtual flow field and a measure of its quality. Unlike velocity fields for robotic swarm control, the virtual flow field here is described by several functions of space and time. It represents the variation of the properties of the robotic swarm, such as velocity and density. With the development of swarm control technology, there is an emerging demand to evaluate the quality of the virtual flow field and support the path planning of the robotic swarm accordingly. For such a purpose, this letter adopts a notion of the degree of flowability (DOF) for the virtual flow fields, which is relevant to the density of the swarm and the external energy input for the robots to pass through the field. Then, one method for calculating the DOF for the virtual flow field is proposed with simple examples for feasibility analysis. Calculations and simulations of three different virtual flow fields are performed to demonstrate the feasibility of the method.
本文提出了虚拟流场的新概念及其质量度量。与机器人群控制的速度场不同,这里的虚拟流场是由几个空间和时间函数来描述的。它代表了机器人群体的特性,如速度和密度的变化。随着群体控制技术的发展,需要对虚拟流场质量进行评估,从而为机器人群体的路径规划提供支持。为此,本文采用了虚拟流场的流动度(degree of flowability, DOF)的概念,该概念与蜂群的密度和机器人通过流场所需的外部能量输入有关。然后,提出了一种计算虚拟流场自由度的方法,并给出了简单的算例进行可行性分析。对三种不同的虚拟流场进行了计算和仿真,验证了该方法的可行性。
{"title":"A Degree of Flowability for Virtual Flow Fields","authors":"Shuhan Huang;Wenqi Song;Quan Quan","doi":"10.1109/LCSYS.2025.3623632","DOIUrl":"https://doi.org/10.1109/LCSYS.2025.3623632","url":null,"abstract":"This letter proposes a new notion of virtual flow field and a measure of its quality. Unlike velocity fields for robotic swarm control, the virtual flow field here is described by several functions of space and time. It represents the variation of the properties of the robotic swarm, such as velocity and density. With the development of swarm control technology, there is an emerging demand to evaluate the quality of the virtual flow field and support the path planning of the robotic swarm accordingly. For such a purpose, this letter adopts a notion of the degree of flowability (DOF) for the virtual flow fields, which is relevant to the density of the swarm and the external energy input for the robots to pass through the field. Then, one method for calculating the DOF for the virtual flow field is proposed with simple examples for feasibility analysis. Calculations and simulations of three different virtual flow fields are performed to demonstrate the feasibility of the method.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"9 ","pages":"2423-2428"},"PeriodicalIF":2.0,"publicationDate":"2025-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145405328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-10-17DOI: 10.1109/LCSYS.2025.3622665
Mingda Yue;Shuting Le;Yuhu Wu;Xun Shen
This letter investigates a duopolistic market where firms compete through both pricing and advertising strategies. Due to customer attrition and the effects of advertising, each firm’s loyal customer segment evolves dynamically. This leads to a dynamic market segment competition in which firms aim to maximize profits through optimal strategies. Our analysis of the one-stage game reveals at most two Nash equilibria. Notably, even with symmetric initial positions, firms adopt asymmetric strategies in equilibrium: one employs greater advertising intensity and higher pricing to secure more profits. In the two-stage game, our analysis shows that firms optimally increase first-stage advertising to sustain larger loyal segments, thereby boosting subsequent profits. These findings have important implications for multi-stage competition.
{"title":"Optimal Competitive Strategies: Pricing and Advertising in Dynamic Market Segments","authors":"Mingda Yue;Shuting Le;Yuhu Wu;Xun Shen","doi":"10.1109/LCSYS.2025.3622665","DOIUrl":"https://doi.org/10.1109/LCSYS.2025.3622665","url":null,"abstract":"This letter investigates a duopolistic market where firms compete through both pricing and advertising strategies. Due to customer attrition and the effects of advertising, each firm’s loyal customer segment evolves dynamically. This leads to a dynamic market segment competition in which firms aim to maximize profits through optimal strategies. Our analysis of the one-stage game reveals at most two Nash equilibria. Notably, even with symmetric initial positions, firms adopt asymmetric strategies in equilibrium: one employs greater advertising intensity and higher pricing to secure more profits. In the two-stage game, our analysis shows that firms optimally increase first-stage advertising to sustain larger loyal segments, thereby boosting subsequent profits. These findings have important implications for multi-stage competition.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"9 ","pages":"2447-2452"},"PeriodicalIF":2.0,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145405362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-10-15DOI: 10.1109/LCSYS.2025.3622516
Aditya Kale;Marcos Netto;Xinyang Zhou
We propose a reformulation of the streaming dynamic mode decomposition method that requires maintaining a single orthonormal basis, thereby reducing computational redundancy. The proposed efficient streaming dynamic mode decomposition method results in a constant-factor reduction in computational complexity and memory storage requirements. Numerical experiments on representative canonical dynamical systems show that the enhanced computational efficiency does not compromise the accuracy of the proposed method.
{"title":"Efficient Streaming Dynamic Mode Decomposition","authors":"Aditya Kale;Marcos Netto;Xinyang Zhou","doi":"10.1109/LCSYS.2025.3622516","DOIUrl":"https://doi.org/10.1109/LCSYS.2025.3622516","url":null,"abstract":"We propose a reformulation of the streaming dynamic mode decomposition method that requires maintaining a single orthonormal basis, thereby reducing computational redundancy. The proposed efficient streaming dynamic mode decomposition method results in a constant-factor reduction in computational complexity and memory storage requirements. Numerical experiments on representative canonical dynamical systems show that the enhanced computational efficiency does not compromise the accuracy of the proposed method.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"9 ","pages":"2387-2392"},"PeriodicalIF":2.0,"publicationDate":"2025-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145405333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}