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Prescribed-time stabilization and inverse optimality for strict-feedback nonlinear systems 严格反馈非线性系统的规定时间稳定和逆最优性
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-06-26 DOI: 10.1016/j.sysconle.2024.105859
Hui Wang , Wuquan Li , Miroslav Krstic
{"title":"Prescribed-time stabilization and inverse optimality for strict-feedback nonlinear systems","authors":"Hui Wang ,&nbsp;Wuquan Li ,&nbsp;Miroslav Krstic","doi":"10.1016/j.sysconle.2024.105859","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105859","url":null,"abstract":"<div><p>We consider the prescribed-time stabilization and inverse optimality for strict-feedback nonlinear systems with nonlinear growth condition. Different from the existing scaling designs for nonlinear systems, we propose new non-scaling designs characterized by new scaled quadratic Lyapunov functions. The advantage of our design is that it is simpler and easier for implementation. We first design a controller to ensure that the equilibrium at the origin of the plant is prescribed-time stable. Then we redesign the controller and solve the prescribed-time inverse optimal stabilization problem, with an infinite gain margin. Specifically, the designed controller is not only optimal with respect to a meaningful cost functional but also globally stabilizes the closed-loop system in the prescribed-time. Finally, a simulation example is given to illustrate the designs.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141487646","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
Local exponential synchronization rate of commutative Kuramoto oscillators on spheres 球面上交换式仓本振荡器的局部指数同步率
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-06-26 DOI: 10.1016/j.sysconle.2024.105860
Yushi Shi , Xueyan Li , Ting Li , Jiandong Zhu
{"title":"Local exponential synchronization rate of commutative Kuramoto oscillators on spheres","authors":"Yushi Shi ,&nbsp;Xueyan Li ,&nbsp;Ting Li ,&nbsp;Jiandong Zhu","doi":"10.1016/j.sysconle.2024.105860","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105860","url":null,"abstract":"<div><p>For proportional Kuramoto oscillators on spheres, the local exponential synchronization rate for complete phase synchronization was obtained in existing literature. But for the general nonidentical Kuramoto oscillators on spheres, the problem of local exponential synchronization rate has not been solved. In this paper, for commutative Kuramoto oscillators on spheres, the matrix differential equations involving the synchronization errors are constructed, and the local exponential synchronization rate is obtained by calculating the spectrum of the linearized error system limited to an invariant subspace.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141487643","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
Cascade/feedback interconnections of prescribed-time input-to-state stable systems 规定时间输入到状态稳定系统的级联/反馈互联
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-06-25 DOI: 10.1016/j.sysconle.2024.105857
Prashanth Krishnamurthy , Farshad Khorrami , Anthony Tzes
{"title":"Cascade/feedback interconnections of prescribed-time input-to-state stable systems","authors":"Prashanth Krishnamurthy ,&nbsp;Farshad Khorrami ,&nbsp;Anthony Tzes","doi":"10.1016/j.sysconle.2024.105857","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105857","url":null,"abstract":"<div><p>Achieving control objectives (e.g., stabilization or convergence of tracking error to zero, input-to-state stabilization) in “prescribed time” has attracted significant research interest in recent years. In this paper, we consider cascade and feedback interconnections of prescribed-time input-to-state stable (ISS) systems and study conditions under which the overall states of such interconnected systems also converge to the origin in the prescribed time interval. We show that these conditions are intrinsically related to properties of the time-varying “blow-up” functions that are central to prescribed-time control designs. We also generalize the results to interconnections of an arbitrary number of systems. As an illustrative example, we consider an interconnection of two uncertain systems that are prescribed-time stabilized using two different control design methods and show that the two separate controllers can be put together to achieve prescribed-time stability of the interconnected system.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141487645","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
Observers for hyperbolic systems with multiple delays in the nonlocal boundary condition and its application to secure image encryption 非局部边界条件下具有多重延迟的双曲系统观测器及其在安全图像加密中的应用
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-06-25 DOI: 10.1016/j.sysconle.2024.105855
Hideki Sano , Jeanne Redaud
{"title":"Observers for hyperbolic systems with multiple delays in the nonlocal boundary condition and its application to secure image encryption","authors":"Hideki Sano ,&nbsp;Jeanne Redaud","doi":"10.1016/j.sysconle.2024.105855","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105855","url":null,"abstract":"<div><p>In this article, we propose a step-by-step observer design for a first-order linear hyperbolic system with multiple delays in the nonlocal boundary condition. In the proposed approach inspired by the backstepping methodology, the observer gains are obtained following seven successive steps. Next, we present the application of this observer design in the context of image encryption. We consider a system where a local nonlinear term causing a chaotic vibration is added to the nonlocal boundary condition with time lags. A synchronization system for this chaotic system can be constructed using the same observer design method. The chaotic states generated by both systems can be used to encrypt and decrypt image data. The time lags, and weight functions included in the nonlocal boundary condition play the role of common encryption keys. By considering a system that includes arbitrarily many delays, this approach allows for a significant increase in the number of common encryption keys compared to conventional methods, resulting in greatly improved communication security.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141487647","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
Dynamic memory-based event-triggered security control for networked control systems subjected to false-injection-data attack 为受到虚假注入数据攻击的网络控制系统提供基于事件触发的动态存储器安全控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-06-22 DOI: 10.1016/j.sysconle.2024.105843
Xiaohang Li , Peng Shi , Weidong Zhang
{"title":"Dynamic memory-based event-triggered security control for networked control systems subjected to false-injection-data attack","authors":"Xiaohang Li ,&nbsp;Peng Shi ,&nbsp;Weidong Zhang","doi":"10.1016/j.sysconle.2024.105843","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105843","url":null,"abstract":"<div><p>This study addresses the security control problem for networked control systems that are subjected to false-data-injection attacks. The designed controller rests on a dynamic memory-based event-triggered mechanism, which exploits historically transmitted data and an auxiliary term to improve transmission efficiency and ensure satisfactory control performance. Then, a controller that defends against the false-data-injection attacks is proposed by making full use of the historical information. With the aid of Cauchy–Schwarz and Gronwall–Bellman inequalities, the existence of such a controller is validated through a novel Lyapunov-based method, which allows the Lyapunov function to be nonpositive. Further, a test on a dynamic power system is provided to verify the effectiveness and superiority of the proposed method.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141444377","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
Synchronization of heterogeneous and uncertain networks via adaptive intermittent pinning control 通过自适应间歇引脚控制实现异构不确定网络的同步化
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-06-21 DOI: 10.1016/j.sysconle.2024.105858
Anning Chen , Linying Xiang
{"title":"Synchronization of heterogeneous and uncertain networks via adaptive intermittent pinning control","authors":"Anning Chen ,&nbsp;Linying Xiang","doi":"10.1016/j.sysconle.2024.105858","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105858","url":null,"abstract":"<div><p>In the context of network synchronization, achieving a coherent solution poses a significant challenge, particularly in scenarios where the systems exhibit heterogeneous and uncertain dynamics. The ability to successfully steer the network towards synchronization under heterogeneous and uncertain dynamics is an important research subject. In this paper, synchronization of heterogeneous and uncertain networks is investigated by designing an adaptive intermittent pinning controller. Based on Lyapunov stability theory, sufficient conditions to guarantee network synchronization are obtained. Moreover, an adaptive algorithm for uncertain gain is designed and its validity is rigorously established. Finally, numerical simulations are provided to demonstrate the correctness of the obtained results.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141438002","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
The stochastic fixed-time synchronization of delays neural networks driven by Lévy noise 莱维噪声驱动的延迟神经网络的随机固定时间同步
IF 2.6 3区 计算机科学
Systems & Control Letters Pub Date : 2024-06-18 DOI: 10.1016/j.sysconle.2024.105839
Chao Li , Xiaofeng Xu , Ming Liu
{"title":"The stochastic fixed-time synchronization of delays neural networks driven by Lévy noise","authors":"Chao Li ,&nbsp;Xiaofeng Xu ,&nbsp;Ming Liu","doi":"10.1016/j.sysconle.2024.105839","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105839","url":null,"abstract":"<div><p>This paper focuses on the fixed-time synchronization of stochastic cellular neural networks (SCNNs) via mixed delays. The stochastic disturbances we considered in SCNNs include not only white noise but also Lévy noise firstly. By utilizing inequality and Lyapunov theory , new criteria ensuring fixed-time synchronization of SCNNs driven by Lévy noise are established. The estimation formula of settling time differs from those discovered in previous literature. Besides, the fixed-time synchronization of SCNNs via Lévy noise has been discussed by using a new theorem by designing appropriate control strategies, and adequate conditions are attained to realize the fixed-time synchronization of SCNNs. In the end, a numerical example is provided to illustrate the validity of the results we proved.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141423437","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
Effective error estimation for model reduction with inhomogeneous initial conditions 非均质初始条件下模型还原的有效误差估计
IF 2.6 3区 计算机科学
Systems & Control Letters Pub Date : 2024-06-17 DOI: 10.1016/j.sysconle.2024.105840
Björn Liljegren-Sailer
{"title":"Effective error estimation for model reduction with inhomogeneous initial conditions","authors":"Björn Liljegren-Sailer","doi":"10.1016/j.sysconle.2024.105840","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105840","url":null,"abstract":"<div><p>A priori error bounds have been derived for different balancing-related model reduction methods. The classical result is a bound for balanced truncation and singular perturbation approximation that is applicable for asymptotically stable linear time-invariant systems with zero initial conditions. Recently, there have been a few attempts to generalize the balancing-related reduction methods to the case with inhomogeneous initial conditions. Those strongly rely on the assumption that the space of initial conditions of interest is known a priori In this paper, we show how the exact error representation in terms of the Gramians can be used as a sharp and efficient error bound. In particular, by exploiting an appropriate offline–online decomposition of the computation, this approach is feasible for arbitrary initial conditions. This is in contrast to previous error bounds, which are valid only for an a priori restricted set of initial conditions. Furthermore, our approach can be realized in a large-scale setting, in which case the resulting error estimator is as accurate as the underlying low-rank approximation of the Gramian allows. The effectivity, accuracy and applicability of our bound/estimator for a posteriori estimation and certified model selection are also demonstrated numerically.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2024-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141423438","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
Analysis and stabilization of discrete-time positive systems with input saturation 输入饱和离散时正系统的分析与稳定
IF 2.6 3区 计算机科学
Systems & Control Letters Pub Date : 2024-06-12 DOI: 10.1016/j.sysconle.2024.105854
Hongling Qiu, Jun Shen
{"title":"Analysis and stabilization of discrete-time positive systems with input saturation","authors":"Hongling Qiu,&nbsp;Jun Shen","doi":"10.1016/j.sysconle.2024.105854","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105854","url":null,"abstract":"<div><p>This paper is centered on the local stabilization of discrete-time positive systems subject to input saturation using a static linear feedback. To estimate the domain of attraction for systems with open-loop positivity, some sufficient criteria are proposed to construct two types of sets maintaining contractive invariance for the closed-loop system, namely hyperpyramids and hyperrectangles, which are the level sets corresponding to sum-separable and max-separable Lyapunov functions, respectively. Furthermore, these criteria are nonconservative for the single-input case. In the absence of open-loop positivity, some sufficient criteria are provided to guarantee that a hyperrectangle still maintains contractive invariance for the system. Finally, two numerical experiments are presented to demonstrate the effectiveness of the obtained results.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141308114","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
On stability in probability for a cooperative system of two equations with Nicholson’s growth and distributed delay under stochastic perturbations 论随机扰动下具有尼科尔森增长和分布延迟的合作二元方程系统的概率稳定性
IF 2.6 3区 计算机科学
Systems & Control Letters Pub Date : 2024-06-12 DOI: 10.1016/j.sysconle.2024.105838
Leonid Shaikhet
{"title":"On stability in probability for a cooperative system of two equations with Nicholson’s growth and distributed delay under stochastic perturbations","authors":"Leonid Shaikhet","doi":"10.1016/j.sysconle.2024.105838","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105838","url":null,"abstract":"<div><p>A method of stability investigation for stochastic nonlinear dynamical systems is demonstrated on a system of two connected Nicholson’s blowflies type equations with distributed delay and exponential nonlinearity. It is supposed that this system is affected by stochastic perturbations of the white noise type that are directly proportional to the deviation of the system state from its equilibrium. Stability conditions for the zero and positive equilibria of the system under consideration are obtained by virtue of the general method of Lyapunov functionals construction and are formulated in terms of Linear Matrix Inequalities (LMIs), that can be checked by MATLAB. Numerical examples and figures illustrate the obtained theoretical results. The described method can be applied in various applications to many stochastic systems of higher dimensions with different types of high-order nonlinearities and different forms of delays.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141308113","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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