International Journal of Robust and Nonlinear Control最新文献

{"title":"Editorial: Special Issue on Model Predictive Control Under Disturbances and Uncertainties: Safety, Stability, and Learning","authors":"Wen-Hua Chen, Mark Cannon, Rolf Findeisen, Jun Yang","doi":"10.1002/rnc.7930","DOIUrl":"https://doi.org/10.1002/rnc.7930","url":null,"abstract":"<p>Model Predictive Control (MPC) has established itself as one of the most powerful advanced control strategies, combining conceptual simplicity with the ability to handle constraints and optimize performance. However, the presence of disturbances and uncertainties in real-world systems imposes significant challenges, necessitating robust, adaptive, and computationally efficient solutions. This Special Issue of the <i>International Journal of Robust and Nonlinear Control</i> is dedicated to advancing the state-of-the-art in MPC under disturbances and uncertainties, with a focus on safety, stability, and the integration of learning techniques. We are proud to present a collection of 19 high-quality papers that address these challenges and push the boundaries of MPC research.</p><p>The Call for Papers for this Special Issue invited contributions on novel theoretical developments, innovative design and analysis tools, and practical applications of MPC in the presence of disturbances and uncertainties. The response from the research community was overwhelming, and after a rigorous peer review process, 19 papers were selected for publication. These contributions reflect the latest advancements in disturbance and uncertainty modeling, robust and adaptive MPC, learning-based approaches, and applications across diverse domains such as robotics, automotive systems, energy systems, and aerospace.</p><p>The accepted papers cover a wide range of topics, organized around the following key themes:</p><p>Liu et al. [<span>1</span>] introduce a stochastic MPC framework for discrete nonlinear systems using a multistep control strategy, while Parsi et al. [<span>2</span>] propose a scalable tube MPC approach for uncertain linear systems using ellipsoidal sets. Manzano et al. [<span>3</span>] explore input-to-state stability in predictive control based on continuous projected kinky inference, providing theoretical guarantees for uncertain systems.</p><p>Yang [<span>4</span>] presents a data-driven MPC framework for unknown linear systems using online learning, and Klöppelt et al. [<span>5</span>] introduce a novel constraint-tightening approach for robust data-driven predictive control. Pan et al. [<span>6</span>] bridge the gap between data-driven methods and stochastic MPC, offering new insights into data-driven stochastic control.</p><p>Fang et al. [<span>7</span>] develop an integrated MPC scheme with disturbance preview, enhancing performance in the presence of known disturbances. Gao et al. [<span>8</span>] demonstrate practical applications of disturbance rejection in a parabolic trough solar field, and Yu et al. [<span>9</span>] combine model-free predictive control with a linear extended state observer for disturbance estimation in power converters.</p><p>Kögel et al. [<span>10</span>] address safety-critical applications in autonomous systems through hierarchical MPC and planning. Hall et al. [<span>11</span>] investigate stability and feasibility in swi","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 7","pages":"2475-2477"},"PeriodicalIF":3.2,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/rnc.7930","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749601","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modified Adaptive Federated Student's t Maximum Correntropy Criterion Variational Adaptive Kalman Filtering for Multi-Source Data Fusion","authors":"Yunsheng Fan,&nbsp;Shuanghu Qiao,&nbsp;Baojian Song,&nbsp;Guofeng Wang","doi":"10.1002/rnc.7841","DOIUrl":"https://doi.org/10.1002/rnc.7841","url":null,"abstract":"<div>\u0000 \u0000 <p>The traditional federated Kalman filter-based multi-source data fusion algorithm performs poorly in the presence of outliers and unknown noise, a modified federated robust Student's t maximum correntropy criterion variational adaptive Kalman filter is proposed in this paper to tackle the issue. First, an improved robust Student's t maximum correntropy criterion variational adaptive Kalman filter is proposed for local estimation. The algorithm introduces an adaptive factor in the Student's t variational adaptive Kalman filter algorithm to correct the bias of the error covariance matrix, which improves the estimation accuracy of the algorithm. In addition, an improved kernel width based on the maximum correntropy criterion is employed for modifying the correntropy gain to adjust the filtering gain of the algorithm. Second, an improved adaptive information-sharing factor is developed to adaptively regulate the fusion weight of the local sensor based on the estimation accuracy of the local filter. Finally, the simulation verifies that the proposed algorithm has higher estimation accuracy than other existing algorithms.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3297-3307"},"PeriodicalIF":3.2,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822162","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 Semi-Markovian Model Approach to Resilient Fault-Tolerant Control of Interval Type-2 Fuzzy Systems With Stochastic Actuator Failures and Its Applications","authors":"Xiaoqing Li,&nbsp;Kaibo Shi,&nbsp;Jun Cheng,&nbsp;Zhinan Peng,&nbsp;Liang Han","doi":"10.1002/rnc.7805","DOIUrl":"https://doi.org/10.1002/rnc.7805","url":null,"abstract":"&lt;div&gt;\u0000 \u0000 &lt;p&gt;This article mainly presents a fresh systematic framework to tackle the resilient fault-tolerant sampled-data control (SDC) synthesis problem for networked interval type-2 fuzzy systems (IT-2FSs) suffering with semi-Markovian-type jump actuator failures (SMJAFs) and mismatched membership functions (MMFs), which portrays more features than some prior developments. The principally target of the addressed problem under this systematic investigation is to precisely architect a faulty mode-dependent sampled-data controller such that the resultant IT-2FSs are asymptotically stable with a prescribed &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;H&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;∞&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {H}_{infty } $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; attenuation level simultaneously. Firstly, in a departure from conventional control approaches, to better depict the stochastic actuator failures (SAFs) and cater to the engineering practice more accurately, a neoteric control input model that incorporated with semi-Markovian jump-type faulty coefficients with stochastically occurring bias terms is reconstructed for IT-2FSs in specifically. Secondly, the occurrence of controller gain fluctuations is randomly, which is regulated by a Bernoulli random binary distribution with a pre-known probability distribution. Thirdly, in comparison with majority of the existing SDC strategies, the intrinsic lag signal &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;ϱ&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ varrho $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; is intensionally introduced in the control loop, which exploited initially to handle the IT-2 fuzzy control synthesis issue. In doing so, a novelty looped-type semi-Markovian Lyapunov functional alleged dual-sided looped semi-Markovian Lyapunov functional that adequate acquisition the characteristic information of whole sampling intervals from &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;x&lt;/mi&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;k&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ xleft({t}_kright) $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; to &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;x&lt;/mi&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ x","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 6","pages":"2399-2424"},"PeriodicalIF":3.2,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581987","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":"Delayed Sampled Impulsive Observer Design for a Class of Non-Affine Nonlinear Systems With Aperiodic Sampled and Delayed Measurements","authors":"Xincheng Zhuang,&nbsp;Haoping Wang,&nbsp;Yang Tian","doi":"10.1002/rnc.7842","DOIUrl":"https://doi.org/10.1002/rnc.7842","url":null,"abstract":"<div>\u0000 \u0000 <p>In this article, a delayed sampled impulsive observer (DSIO) is designed for a class of nonlinear systems with a non-affine structure subjected to aperiodic sampled and delayed measurement and external disturbance. The designed DSIO consists of two parts according to continuous and discrete time space: the first part predicts the state between samples by replicating the dynamics of the observed system in the continuous time space; The second part is to use the system's sampled delayed output for impulsive correction in the discrete time space. The proposed DSIO allows for delays larger than the sampling period. Combined with the delayed impulsive systems theory, the input-to-state stability of the designed DSIO under external disturbances is proved. The designed DSIO is illustrated via numerical simulation with a Chua's Circuit example and comparison with another Zero-Order Holder-based Observer (ZOHO) to highlight its effectiveness.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3308-3316"},"PeriodicalIF":3.2,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822253","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":"Finite-Time Adaptive Fuzzy Prescribed Performance Control for Teleoperation With Asymmetric Time Delays and Uncertainties","authors":"Hang Li,&nbsp;Wusheng Chou,&nbsp;Lingda Meng","doi":"10.1002/rnc.7818","DOIUrl":"https://doi.org/10.1002/rnc.7818","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper proposes a finite-time adaptive fuzzy prescribed performance controller to address the position synchronization problem of teleoperation system under asymmetric time delays and uncertainties. The controller comprises a finite-time performance function (FTPF), a fuzzy logic system (FLS), and a weight adaptive control law. Specifically, the transformed synchronization errors are constrained within the boundaries of the FTPF, thereby enhancing the transient performance of the teleoperation system. Subsequently, with the aid of the weight adaptive law, online compensation for uncertain dynamic parameters is achieved by the FLS. By employing a Lyapunov function and finite-time stability criteria, it can be demonstrated that in a finite time frame, errors converge to a small neighborhood around zero while maintaining stability in the closed-loop system. Simulation and practical experiments are conducted to validate the efficacy of this proposed control algorithm.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"2982-2995"},"PeriodicalIF":3.2,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822266","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":"Optimal \u0000 \u0000 \u0000 \u0000 \u0000 H\u0000 \u0000 \u0000 ∞\u0000 \u0000 \u0000 \u0000 $$ {mathcal{H}}_{infty } $$\u0000 Problem and Application to Controlled Asymptotic Filtering","authors":"Jovan Stefanovski","doi":"10.1002/rnc.7835","DOIUrl":"https://doi.org/10.1002/rnc.7835","url":null,"abstract":"<div>\u0000 \u0000 <p>The optimal variant of one-sided <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {mathcal{H}}_{infty } $$</annotation>\u0000 </semantics></math>-problem is elaborated, and an LMI-based algorithm is presented, which works in the generic case. An application in controlled asymptotic filtering is presented, in which the matrices of the <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {mathcal{H}}_{infty } $$</annotation>\u0000 </semantics></math> -problem are affine functions of controller coefficients. These two results are illustrated with examples.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3208-3221"},"PeriodicalIF":3.2,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822263","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":"Protocol-Based PID Control for Stochastic Multiagent Systems Under Deception Attacks: Handling Quasi-Consensus in Probability","authors":"Jie Ban,&nbsp;Liangdong Guo,&nbsp;Zidong Wang","doi":"10.1002/rnc.7820","DOIUrl":"https://doi.org/10.1002/rnc.7820","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we investigate the problem of observer-based proportional-integral-derivative (PID) quasi-consensus control for a specific class of stochastic multi-agent systems (MASs) subject to deception attacks. This study is driven by practical engineering challenges where communication networks are vulnerable to attacks and resource constraints. We consider the scenario where the relative output vector of each agent, after being uniformly quantized and managed through a Round-Robin scheduling protocol, is exposed to deception attacks. To address these challenges, we develop a novel distributed observer-based PID control strategy tailored for stochastic MASs. This strategy effectively accounts for system randomness and defenses against deception attacks. Using matrix inequality and stochastic analysis techniques, we establish a framework of sufficient conditions for achieving quasi-consensus in probability and derive the corresponding gain matrices. The proposed approach is validated through numerical simulations, demonstrating its effectiveness in maintaining consensus despite deception attacks and quantization effects.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3013-3027"},"PeriodicalIF":3.2,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822264","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":"Neuroadaptive Impulsive Control of a Class of Uncertain Nonlinear Systems","authors":"Ming Lin,&nbsp;Zhen-Fa Luo,&nbsp;Jie Tao,&nbsp;Jun-Yi Li,&nbsp;Yong-Hua Liu","doi":"10.1002/rnc.7834","DOIUrl":"https://doi.org/10.1002/rnc.7834","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper addresses the tracking control problem for a class of uncertain nonlinear systems, offering a neuroadaptive impulsive control solution with fast weight convergence. The proposed control architecture uniquely employs radial basis function neural networks (RBFNNs) to approximate unknown system dynamics, where the neural network (NN) weight estimator is updated at each impulsive instant. Unlike existing neuroadaptive controllers, this method quickly identifies unknown dynamics without inducing high-frequency oscillations due to the impulse update of the NN weight estimator, thereby improving the transient performance of the closed-loop system. Leveraging the Lyapunov stability theory for impulsive dynamical systems, this paper rigorously establishes the semi-global uniform ultimate boundedness (SGUUB) of all closed-loop system signals. Finally, validation through simulation studies substantiates the efficacy of the proposed neuroadaptive impulsive controller.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3192-3207"},"PeriodicalIF":3.2,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822265","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":"Prescribed-Time Prescribed Performance Leader Follower Formation Control for Wheeled Mobile Robots With Any Bounded Initial Value","authors":"Yu Zhao,&nbsp;Huaicheng Yan,&nbsp;Yunsong Hu,&nbsp;Zhichen Li,&nbsp;Yifan Shi","doi":"10.1002/rnc.7846","DOIUrl":"https://doi.org/10.1002/rnc.7846","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper investigates prescribed-time prescribed performance control with any bounded initial values for wheeled mobile robot formation systems with uncertain dynamic models and visibility constraints. Visual information is provided by the fixed onboard camera. However, due to limitations in picture quality and frame size, there are constraints on both tracking distance and angle. In addition, constraints caused by collisions are also under consideration. Both barrier Lyapunov functions and performance functions are proposed to overcome these constraints. In contrast to existing prescribed performance control (PPC) methods, which necessitate the initial values of the tracking errors to fall within the prescribed performance functions, an error transformation method is introduced to ensure that the tracking errors can converge to the preset boundaries within a predefined time, regardless of the bounded initial values. Then, utilizing the backstepping procedure and neural network (NN) approximation, a practical prescribed-time controller (PPTC) is formulated to guarantee the formation tracking errors can converge into a small neighborhood of the origin in the prescribed time while meeting the performance constraints. The NN approximation also achieves model uncertainty approximation in robot systems within the prescribed time. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3345-3357"},"PeriodicalIF":3.2,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822226","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 Convex Optimization Approach to Compute Trapping Regions for Lossless Quadratic Systems","authors":"Shih-Chi Liao,&nbsp;A. Leonid Heide,&nbsp;Maziar S. Hemati,&nbsp;Peter J. Seiler","doi":"10.1002/rnc.7807","DOIUrl":"https://doi.org/10.1002/rnc.7807","url":null,"abstract":"<p>Quadratic systems with lossless quadratic terms arise in many applications, including models of atmosphere and incompressible fluid flows. Such systems have a trapping region if all trajectories eventually converge to and stay within a bounded set. Conditions for the existence and characterization of trapping regions have been established in prior work for boundedness analysis. However, prior solutions have used non-convex optimization methods, resulting in conservative estimates. In this paper, we build on this prior work and provide a convex semidefinite programming condition for the existence of a trapping region. The condition allows for precise verification or falsification of the existence of a trapping region. If a trapping region exists, then we provide a second semidefinite program to compute the least conservative radius of the spherical trapping region. Two low-dimensional systems are provided as examples to illustrate the results. A third high-dimensional example is also included to demonstrate that the computation required for the analysis can be scaled to systems of up to <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>∼</mo>\u0000 <mi>O</mi>\u0000 <mo>(</mo>\u0000 <mn>100</mn>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$$ sim O(100) $$</annotation>\u0000 </semantics></math> states. The proposed method provides a precise and computationally efficient numerical approach for computing trapping regions. We anticipate this work will benefit future studies on modeling and control of lossless quadratic dynamical systems.</p>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 6","pages":"2425-2436"},"PeriodicalIF":3.2,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/rnc.7807","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}