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Generalized exponential stability of neutral stochastic quaternion-valued neural networks with variable coefficients and infinite delay 具有可变系数和无限延迟的中性随机四元值神经网络的广义指数稳定性
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-15 DOI: 10.1016/j.sysconle.2024.105869
{"title":"Generalized exponential stability of neutral stochastic quaternion-valued neural networks with variable coefficients and infinite delay","authors":"","doi":"10.1016/j.sysconle.2024.105869","DOIUrl":"10.1016/j.sysconle.2024.105869","url":null,"abstract":"<div><p>This paper focuses on neutral stochastic quaternion-valued neural networks (NSQNNs). Employing some stochastic analysis and inequalities techniques, we establish several sufficient conditions for ensuring <span><math><mi>p</mi></math></span>th moment generalized exponential stability. Our results do not require the construction of any Lyapunov function or rely on the assumption of bounded variable coefficients. Furthermore, our results expand some existing works. At last, to illustrate the efficacy of our result, we present one simulation example.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141622522","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
Stability analysis of homogeneous cooperative positive differential systems with time-varying delays and its generalization 具有时变延迟的同构合作正微分系统的稳定性分析及其广义化
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-14 DOI: 10.1016/j.sysconle.2024.105868
Le Trung Hieu , La Van Thinh , Hoang The Tuan
{"title":"Stability analysis of homogeneous cooperative positive differential systems with time-varying delays and its generalization","authors":"Le Trung Hieu ,&nbsp;La Van Thinh ,&nbsp;Hoang The Tuan","doi":"10.1016/j.sysconle.2024.105868","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105868","url":null,"abstract":"<div><p>This article is devoted to studying the asymptotic behavior of differential systems with bounded delays. We first focus on the analysis of homogeneous cooperative positive systems. Under the assumption that the vector field is homogeneous of a degree greater than 1, we show that the non-trivial solutions of the system converge to the origin at a polynomial rate. In the case when the degree of homogeneity equals 1, we prove that the solutions will decay at an exponential rate. As a generalization of these results, we consider nonlinear non-autonomous differential systems with time-varying delays that are bounded above by stable homogeneous positive systems. By some additional imposed conditions, in light of the comparison principle, we obtain the locally exponential stability and polynomial stability of the equilibrium point to these systems. Finally, specific examples and discussions are provided to illustrate the validity of the proposed theoretical results.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141607778","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
Optimal configuration analysis for range-only target localization with uncertain sensor positions 针对传感器位置不确定的仅测距目标定位的优化配置分析
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-14 DOI: 10.1016/j.sysconle.2024.105863
Yi Hou, Ning Hao, Fenghua He, Xinran Zhang
{"title":"Optimal configuration analysis for range-only target localization with uncertain sensor positions","authors":"Yi Hou,&nbsp;Ning Hao,&nbsp;Fenghua He,&nbsp;Xinran Zhang","doi":"10.1016/j.sysconle.2024.105863","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105863","url":null,"abstract":"<div><p>The relative sensor-target geometries are of significance in the context of cooperative localization involving multiple sensors working together to localize a target. The optimality analysis of sensor-target geometries is commonly conducted assuming precise knowledge of the sensors’ positions. However, this is not the case in practice due to various uncertainties such as sensor drift, environmental factors, and measurement errors. In this paper, we address the issue of uncertain positions of range-only sensors. Specifically, we consider randomized positions for the sensors, modeled by a Gaussian probability density function. Consequently, the parameters to be estimated become hybrid, comprising both randomized (the sensors’ positions) and non-randomized (the target’s position) elements. A hybrid CRLB is proposed as a measure to characterize the estimation performance of the localization problem under consideration. To efficiently calculate the hybrid CRLB, we derive an approximation and quantify the corresponding error. Furthermore, we determine the optimality condition of sensor-target geometries for range-only localization. A gradient-based algorithm is designed to facilitate the optimization process. The analytical findings are verified through simulations.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141607780","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
Stochastic maximum principle for control systems with time-varying delay 具有时变延迟的控制系统的随机最大原则
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-13 DOI: 10.1016/j.sysconle.2024.105864
Yuecai Han , Yuhang Li
{"title":"Stochastic maximum principle for control systems with time-varying delay","authors":"Yuecai Han ,&nbsp;Yuhang Li","doi":"10.1016/j.sysconle.2024.105864","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105864","url":null,"abstract":"<div><p>In this paper, we study the stochastic optimal control problem for control systems with time-varying delay. The corresponding state equation is a kind of stochastic differential delay equation. A kind of anticipated backward stochastic differential equations is introduced, and the existence and uniqueness of the solution are proved. Then we obtain the stochastic maximum principle for the control systems with time-varying delay. As an application, the linear quadratic control problem is investigated to illustrate the main results.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141607779","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
Adaptive cooperating fault-tolerant formation control for multi-agent systems with double Markovian switching topologies and actuator faults 具有双马尔可夫开关拓扑和执行器故障的多代理系统的自适应合作容错编队控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-11 DOI: 10.1016/j.sysconle.2024.105865
Chao Zhou , Zehui Mao , Bin Jiang , Xiuming Yao , Xing-Gang Yan
{"title":"Adaptive cooperating fault-tolerant formation control for multi-agent systems with double Markovian switching topologies and actuator faults","authors":"Chao Zhou ,&nbsp;Zehui Mao ,&nbsp;Bin Jiang ,&nbsp;Xiuming Yao ,&nbsp;Xing-Gang Yan","doi":"10.1016/j.sysconle.2024.105865","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105865","url":null,"abstract":"<div><p>This paper is concerned with adaptive time-varying formation tracking problems of multi-agent systems (MASs) with uncertain communication networks, non-parametric actuator faults and matched and mismatched uncertainties/disturbances. Considering the leader–follower structure of the MAS and the complex working environment, the communication networks are unstationary, for which, a double Markov process is first introduced to characterize this topology. A stochastic sliding surface is designed for each follower, and the stability of the corresponding sliding mode dynamics is analyzed. An adaptive sliding mode controller is developed to drive the dynamical system to the sliding surface in finite time and maintains a sliding motion thereafter. The stability of the corresponding sliding mode and the reachability are proved via Lyapunov direct method. Finally, a simulation example of three unmanned aerial vehicles (UAVs) and one unmanned ground vehicle (UGV) is given to demonstrate the effectiveness of the proposed strategy.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141592738","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
Almost surely exponential stability of mode-dependent stochastic coupled nonlinear systems with semi-Markovian jump 具有半马尔可夫跳跃的模式依赖随机耦合非线性系统的几乎肯定指数稳定性
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-08 DOI: 10.1016/j.sysconle.2024.105867
Chang Gao, Junchen Bao, Haiying Zhang, Yu Xiao
{"title":"Almost surely exponential stability of mode-dependent stochastic coupled nonlinear systems with semi-Markovian jump","authors":"Chang Gao,&nbsp;Junchen Bao,&nbsp;Haiying Zhang,&nbsp;Yu Xiao","doi":"10.1016/j.sysconle.2024.105867","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105867","url":null,"abstract":"<div><p>This paper investigates the stability of semi-Markovian jump stochastic coupled nonlinear systems with mode-dependent sojourn time distributions. It is challenging to consider coupling in the semi-Markovian jump systems due to the different networked topologies. First, more realistic complex networks with coupling and semi-Markovian jump are established. Based on Lyapunov method and graph theory, a novel stochastic analysis method and linear comparable Lyapunov like functions are employed to ensure almost surely exponential stability (ASES). Then, without additional restrictions on the sojourn time, the sufficient criterion for ASES is developed. Compared with the most of existing works, which are restrictions on the independence and the distribution function of the sojourn time and the coupling are not considered, our results are meaningful and they can be directly applied to the coupled oscillator model. Finally, some numerical simulations are provided to demonstrate the validity of our results.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141583451","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
Fix-speed flocking of high-dimensional Kuramoto oscillator systems with proximity graph 具有邻近图的高维仓本振荡器系统的定速成群问题
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-05 DOI: 10.1016/j.sysconle.2024.105866
Jinxing Zhang
{"title":"Fix-speed flocking of high-dimensional Kuramoto oscillator systems with proximity graph","authors":"Jinxing Zhang","doi":"10.1016/j.sysconle.2024.105866","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105866","url":null,"abstract":"<div><p>This paper examines the issue of flocking within a fixed-speed multi-agent system. Utilizing the high-dimensional Kuramoto model, it is demonstrated that given an initially connected proximity graph, the system can achieve flocking when the coupling intensity of the system exceeds a certain threshold. In this state, the proximity graph retains its connectivity, and no changes occur between agents over time. It is guaranteed that no collisions occur. Finally, the conclusion is substantiated with a straightforward example.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141539814","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
Comparison of solutions for non-monotone dynamical systems 非单调动力学系统解法的比较
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-03 DOI: 10.1016/j.sysconle.2024.105862
Alain Rapaport , Oumaima Laraj , Noha El Khattabi
{"title":"Comparison of solutions for non-monotone dynamical systems","authors":"Alain Rapaport ,&nbsp;Oumaima Laraj ,&nbsp;Noha El Khattabi","doi":"10.1016/j.sysconle.2024.105862","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105862","url":null,"abstract":"<div><p>We give conditions for a non-monotone system to preserve the usual vector order of solutions for a subset of initial conditions. Our approach consists of separating terms that meet Kamke’s sign condition from other ones in the dynamics, and considering Picard iterations. These conditions amount for the dynamics to preserve a partial order, which is not necessarily induced by a cone. Examples illustrate the results.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141542158","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
Ulam–Hyers–Rassias stability for stochastic differential equations driven by the time-changed Brownian motion 时变布朗运动驱动的随机微分方程的 Ulam-Hyers-Rassias 稳定性
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-02 DOI: 10.1016/j.sysconle.2024.105856
Qinyi Long, Chunhua Yang, Zhi Li, Liping Xu
{"title":"Ulam–Hyers–Rassias stability for stochastic differential equations driven by the time-changed Brownian motion","authors":"Qinyi Long,&nbsp;Chunhua Yang,&nbsp;Zhi Li,&nbsp;Liping Xu","doi":"10.1016/j.sysconle.2024.105856","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105856","url":null,"abstract":"<div><p>In this paper, we investigate a class of stochastic differential equations driven by the time-changed Brownian motion and impulsive stochastic differential equations driven by the time-changed Brownian motion. By establishing some time-changed retarded Gronwall-like inequalities, some sufficient conditions ensuring the Ulam–Hyers–Rassias stability in mean square of the considered equations are obtained.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141542159","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
Feedback linearization of the nonlinear control system with disturbance 有干扰的非线性控制系统的反馈线性化
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-01 DOI: 10.1016/j.sysconle.2024.105861
Hyeran Hong, Junseong Kim, Hong-Gi Lee
{"title":"Feedback linearization of the nonlinear control system with disturbance","authors":"Hyeran Hong,&nbsp;Junseong Kim,&nbsp;Hong-Gi Lee","doi":"10.1016/j.sysconle.2024.105861","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105861","url":null,"abstract":"<div><p>Feedback linearization of a nonlinear system is to find a nonsingular feedback and a state transformation such that the closed-loop system is linear in the new state coordinates. For the nonlinear control systems with disturbance, the feedback linearization problem is difficult to solve, because we cannot use feedback through disturbance input channel. We define, for the first time, the feedback linearization problem of the nonlinear systems with disturbance and find the verifiable necessary and sufficient conditions. Since our proofs are constructive, a desired state transformation and a feedback can also be found in the theorem.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141486482","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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