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 , Zehui Mao , Bin Jiang , Xiuming Yao , 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":"191 ","pages":"Article 105865"},"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}
{"title":"Almost surely exponential stability of mode-dependent stochastic coupled nonlinear systems with semi-Markovian jump","authors":"Chang Gao, Junchen Bao, Haiying Zhang, 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":"191 ","pages":"Article 105867"},"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}
{"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":"191 ","pages":"Article 105866"},"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}
{"title":"Comparison of solutions for non-monotone dynamical systems","authors":"Alain Rapaport , Oumaima Laraj , 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":"191 ","pages":"Article 105862"},"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}
{"title":"Ulam–Hyers–Rassias stability for stochastic differential equations driven by the time-changed Brownian motion","authors":"Qinyi Long, Chunhua Yang, Zhi Li, 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":"191 ","pages":"Article 105856"},"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}
{"title":"Feedback linearization of the nonlinear control system with disturbance","authors":"Hyeran Hong, Junseong Kim, 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":"191 ","pages":"Article 105861"},"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}
{"title":"Prescribed-time stabilization and inverse optimality for strict-feedback nonlinear systems","authors":"Hui Wang , Wuquan Li , 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":"190 ","pages":"Article 105859"},"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}
{"title":"Local exponential synchronization rate of commutative Kuramoto oscillators on spheres","authors":"Yushi Shi , Xueyan Li , Ting Li , 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":"190 ","pages":"Article 105860"},"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}
Prashanth Krishnamurthy , Farshad Khorrami , Anthony Tzes
{"title":"Cascade/feedback interconnections of prescribed-time input-to-state stable systems","authors":"Prashanth Krishnamurthy , Farshad Khorrami , 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":"190 ","pages":"Article 105857"},"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}
{"title":"Observers for hyperbolic systems with multiple delays in the nonlocal boundary condition and its application to secure image encryption","authors":"Hideki Sano , 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":"190 ","pages":"Article 105855"},"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}