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Stability analysis for impulsive switched systems with bounded sojourn time intervals 有界停留时间间隔的脉冲切换系统的稳定性分析
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-09-07 DOI: 10.1016/j.sysconle.2024.105917
Penghui Wen, Shenyu Liu
{"title":"Stability analysis for impulsive switched systems with bounded sojourn time intervals","authors":"Penghui Wen,&nbsp;Shenyu Liu","doi":"10.1016/j.sysconle.2024.105917","DOIUrl":"10.1016/j.sysconle.2024.105917","url":null,"abstract":"<div><p>This paper introduces novel methods for analyzing the stability of impulsive switched systems with bounded sojourn time intervals. We contend that existing stability results may be overly conservative when sojourn times are treated as stochastic rather than arbitrary over intervals. This motivates our investigation into stochastic stability criteria for impulsive switched systems, where the sojourn times of impulsive switching signals obey uniform distributions over intervals. Our first theoretical contribution offers an exact formula for the component-wise first moment of the state for linear impulsive switched systems, expressed in terms of a solution to an auxiliary linear time-delay system. We extend this approach to nonlinear systems by leveraging a multiple Lyapunov function assumption. Consequently, the exponential mean stability of such impulsive switched systems can be determined by assessing the stability of the auxiliary systems. Nevertheless, this method fails to establish exponential mean stability when the impulsive switched system has unstable subsystems. To address this limitation, we conduct an in-depth frequency domain analysis, revealing a common occurrence of pole-zero cancellation. Leveraging these insights, we propose a non-conservative approach for stability analysis. Simulations demonstrate that our proposed stability criteria effectively determine stability in scenarios where all subsystems are unstable, or instability when all subsystems are stable.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105917"},"PeriodicalIF":2.1,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142149634","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}
引用次数: 0
Prescribed-time stability in switching systems with resets: A hybrid dynamical systems approach 带重置的开关系统中的规定时间稳定性:混合动力系统方法
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-09-05 DOI: 10.1016/j.sysconle.2024.105910
Daniel E. Ochoa , Nicolas Espitia , Jorge I. Poveda
{"title":"Prescribed-time stability in switching systems with resets: A hybrid dynamical systems approach","authors":"Daniel E. Ochoa ,&nbsp;Nicolas Espitia ,&nbsp;Jorge I. Poveda","doi":"10.1016/j.sysconle.2024.105910","DOIUrl":"10.1016/j.sysconle.2024.105910","url":null,"abstract":"<div><p>We consider the problem of achieving prescribed-time stability (PT-S) in a class of hybrid dynamical systems that incorporate switching nonlinear dynamics, exogenous inputs, and resets. By “prescribed-time stability”, we refer to the property of having the main state of the system converge to a particular compact set of interest before a given time defined <em>a priori</em> by the user. We focus on hybrid systems that achieve this property via time-varying gains. For continuous-time systems, this approach has received significant attention in recent years, with various applications in control, optimization, and estimation problems. However, its extensions beyond continuous-time systems have been limited. This gap motivates this paper, which introduces a novel class of switching conditions for switching systems with resets that incorporate time-varying gains, ensuring the PT-S property even in the presence of unstable modes. The analysis leverages tools from hybrid dynamical system’s theory, and a contraction–dilation property that is established for the hybrid time domains of the solutions of the system. We present the model and main results in a general framework, and subsequently apply them to two different problems: (a) PT control of dynamic plants with uncertainty and intermittent feedback; and (b) PT decision-making in non-cooperative switching games using algorithms that incorporate momentum, resets, and dynamic gains. Numerical results are presented to illustrate all our results.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105910"},"PeriodicalIF":2.1,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0167691124001981/pdfft?md5=7113c8ef717731574333b9b3f2ebc7b1&pid=1-s2.0-S0167691124001981-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142149632","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}
引用次数: 0
Kinematic control of rigid-motions in space–time 时空中刚性运动的运动学控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-09-05 DOI: 10.1016/j.sysconle.2024.105913
James D. Biggs
{"title":"Kinematic control of rigid-motions in space–time","authors":"James D. Biggs","doi":"10.1016/j.sysconle.2024.105913","DOIUrl":"10.1016/j.sysconle.2024.105913","url":null,"abstract":"<div><p>Classically rigid-motion kinematics are formulated on the Special Euclidean Group or parameterizations of that group. However, this is an approximation of the true configuration space evolving in space–time. Moreover, the Special Euclidean Group provides a sufficiently accurate approximation to a rigid-motion when moving at non-relativistic speeds. Here we present a setting which generalizes a rigid-motion in Euclidean space to rigid-motion in space–time. A kinematic feedback law is presented and proved to almost globally stabilize a rigid-motion in space–time. This setting defines the kinematics on a class of Lie group whose inverse is a function of its transpose and associated metric tensor. It is shown that the Special Euclidean Group is a limiting case of this class of Lie group and this alternative viewpoint can be utilized in stability proofs for rigid-motion kinematic control. An example control design and stability proof on this general class of Lie group is demonstrated.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105913"},"PeriodicalIF":2.1,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142149633","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}
引用次数: 0
Estimating the robust domain of attraction for difference inclusions using an interval Lyapunov equation 利用区间 Lyapunov 方程估算差分夹杂物的稳健吸引域
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-09-04 DOI: 10.1016/j.sysconle.2024.105911
Chaolun Lu , Alexandre Goldsztejn , Yongqiang Li
{"title":"Estimating the robust domain of attraction for difference inclusions using an interval Lyapunov equation","authors":"Chaolun Lu ,&nbsp;Alexandre Goldsztejn ,&nbsp;Yongqiang Li","doi":"10.1016/j.sysconle.2024.105911","DOIUrl":"10.1016/j.sysconle.2024.105911","url":null,"abstract":"<div><p>We present a method for estimating the domain of attraction of a discrete-time system with uncertainty. Difference inclusions are used to model the system’s dynamics. Two conditions (invariance and negative definiteness) are derived in terms of the Lyapunov stability of the systems. We propose an interval version of the Lyapunov equation, which ensures the negative definiteness for a given Lyapunov function. Then, we introduce some sufficient conditions for invariance. Finally, the estimation of the domain of attraction is extended by solving an optimization problem. These results do not assume that the Lyapunov function is quadratic and can be fully applied even in the presence of control input saturation and uncertainty, such as aperiodic sampled-data. Some numerical examples validate the method and compare it with other approaches presented in this work.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105911"},"PeriodicalIF":2.1,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142135833","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}
引用次数: 0
Robust data-driven predictive control for unknown linear time-invariant systems 未知线性时变系统的鲁棒数据驱动预测控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-09-04 DOI: 10.1016/j.sysconle.2024.105914
Kaijian Hu, Tao Liu
{"title":"Robust data-driven predictive control for unknown linear time-invariant systems","authors":"Kaijian Hu,&nbsp;Tao Liu","doi":"10.1016/j.sysconle.2024.105914","DOIUrl":"10.1016/j.sysconle.2024.105914","url":null,"abstract":"<div><p>This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input–state–output or input–output data based on whether the state is measurable. To remove the need for the persistently exciting (PE) condition of a sufficiently high order on pre-collected data, a set containing all systems capable of generating such data is constructed. Then, at each time step, an upper bound on a given objective function is derived for all systems in the set, and a feedback controller is designed to minimize this bound. The optimal control gain at each time step is determined by solving a set of linear matrix inequalities. We prove that if the synthesis problem is feasible at the initial time step, it remains feasible for all future time steps. Unlike current data-driven predictive control schemes based on behavioral system theory, our approach requires less stringent conditions for the pre-collected data, facilitating easier implementation. The effectiveness of our proposed methods is demonstrated through application to an unknown and unstable batch reactor.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105914"},"PeriodicalIF":2.1,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142135830","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}
引用次数: 0
Non-collocated control of an anti-stable system of coupled strings under delayed displacements/velocities feedback 延迟位移/位移反馈下耦合弦反稳定系统的非定位控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-09-04 DOI: 10.1016/j.sysconle.2024.105916
Yi-Ning Wang, Jun-Min Wang, Yu-Long Zhang
{"title":"Non-collocated control of an anti-stable system of coupled strings under delayed displacements/velocities feedback","authors":"Yi-Ning Wang,&nbsp;Jun-Min Wang,&nbsp;Yu-Long Zhang","doi":"10.1016/j.sysconle.2024.105916","DOIUrl":"10.1016/j.sysconle.2024.105916","url":null,"abstract":"<div><p>In this paper, we consider the non-collocated stabilization of three coupled wave equations with different speeds and joint anti-dampings. These anti-dampings put all eigenvalues of the system in the right complex plane. By designing two invertible transformations, the wave system is converted into an equivalent system with damping terms at the joint points. The feedback controllers with displacements/velocities are designed to obtain the target system. The well-posedness and exponential stability of the closed-loop system are established using the PDE approach, based on the exponential stability of the target system. Simulation results are presented to verify the effectiveness of the feedback control law.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105916"},"PeriodicalIF":2.1,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142135832","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}
引用次数: 0
Competitive epidemic networks with multiple survival-of-the-fittest outcomes 具有多种优胜劣汰结果的竞争性流行病网络
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-09-02 DOI: 10.1016/j.sysconle.2024.105907
Mengbin Ye , Brian D.O. Anderson , Axel Janson , Sebin Gracy , Karl H. Johansson
{"title":"Competitive epidemic networks with multiple survival-of-the-fittest outcomes","authors":"Mengbin Ye ,&nbsp;Brian D.O. Anderson ,&nbsp;Axel Janson ,&nbsp;Sebin Gracy ,&nbsp;Karl H. Johansson","doi":"10.1016/j.sysconle.2024.105907","DOIUrl":"10.1016/j.sysconle.2024.105907","url":null,"abstract":"<div><p>We use a deterministic model to study two competing viruses spreading over a two-layer network in the Susceptible–Infected–Susceptible (SIS) framework, and address a central problem of identifying the winning virus in a “survival-of-the-fittest” battle. Almost all existing conditions ensure that the same virus wins regardless of initial states. In the present paper, we ask the following question: can we systematically construct SIS bivirus networks with an arbitrary but finite number of nodes such that <em>either</em> of the viruses can win the survival-of-the-fittest battle, depending on the initial states? We answer this question in the affirmative. More specifically, we show that given almost any network layer of one virus, we can (using our proposed systematic four-step procedure) construct the network layer for the other virus such that in the resulting bivirus network, either of the two viruses can win the survival-of-the-fittest battle. Conclusions from numerical case studies, including a real-world mobility network that captures the commuting patterns for people between 107 provinces in Italy, illustrate and extend the theoretical result and its consequences.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105907"},"PeriodicalIF":2.1,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0167691124001956/pdfft?md5=03b2a78f9c67ee4232349004d0dda87a&pid=1-s2.0-S0167691124001956-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142130003","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}
引用次数: 0
On σ-error moment stability and stabilization for discrete-time semi-Markov jump linear systems 论离散时半马尔可夫跃迁线性系统的σ误差矩稳定性和稳定性
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-27 DOI: 10.1016/j.sysconle.2024.105909
Jiamin Liu , Zhao-Yan Li
{"title":"On σ-error moment stability and stabilization for discrete-time semi-Markov jump linear systems","authors":"Jiamin Liu ,&nbsp;Zhao-Yan Li","doi":"10.1016/j.sysconle.2024.105909","DOIUrl":"10.1016/j.sysconle.2024.105909","url":null,"abstract":"<div><p>In this paper, we study the <span><math><mi>σ</mi></math></span>-error moment stability and stabilization for a class of discrete-time semi-Markov jump linear systems (S-MJLS). It is shown that the existing results on <span><math><mi>σ</mi></math></span>-error moment stability for discrete-time S-MJLS can be obtained under weaker conditions, and based on the established stability results, the high-order moment stabilization problem is investigated for the first time.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"192 ","pages":"Article 105909"},"PeriodicalIF":2.1,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142083908","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}
引用次数: 0
Simultaneous compensation of input delay and state/input quantization for linear systems via switched predictor feedback 通过开关预测器反馈同时补偿线性系统的输入延迟和状态/输入量化
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-26 DOI: 10.1016/j.sysconle.2024.105912
Florent Koudohode, Nikolaos Bekiaris-Liberis
{"title":"Simultaneous compensation of input delay and state/input quantization for linear systems via switched predictor feedback","authors":"Florent Koudohode,&nbsp;Nikolaos Bekiaris-Liberis","doi":"10.1016/j.sysconle.2024.105912","DOIUrl":"10.1016/j.sysconle.2024.105912","url":null,"abstract":"<div><p>We develop a switched predictor-feedback law, which achieves global asymptotic stabilization of linear systems with input delay and with the plant and actuator states available only in (almost) quantized form. The control design relies on a quantized version of the nominal predictor-feedback law for linear systems, in which quantized measurements of the plant and actuator states enter the predictor state formula. A switching strategy is constructed to dynamically adjust the tunable parameter of the quantizer (in a piecewise constant manner), in order to initially increase the range and subsequently decrease the error of the quantizers. The key element in the proof of global asymptotic stability in the supremum norm of the actuator state is derivation of solutions’ estimates combining a backstepping transformation with small-gain and input-to-state stability arguments, for addressing the error due to quantization. We extend this result to the input quantization case and illustrate our theory with a numerical example.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"192 ","pages":"Article 105912"},"PeriodicalIF":2.1,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142077044","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}
引用次数: 0
An explicit solution to the generalized Lyapunov matrix inequality 广义李雅普诺夫矩阵不等式的明确解法
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-21 DOI: 10.1016/j.sysconle.2024.105905
Mario Spirito, Daniele Astolfi
{"title":"An explicit solution to the generalized Lyapunov matrix inequality","authors":"Mario Spirito,&nbsp;Daniele Astolfi","doi":"10.1016/j.sysconle.2024.105905","DOIUrl":"10.1016/j.sysconle.2024.105905","url":null,"abstract":"<div><p>We review the generalized Lyapunov matrix inequality for continuous-time systems and we provide a solution based on a modification of the Jordan normal form. The proposed construction allows to obtain explicit bounds to the decay rate and the inertia of the solution to the generalized Lyapunov matrix inequality.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"192 ","pages":"Article 105905"},"PeriodicalIF":2.1,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142020665","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}
引用次数: 0
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