{"title":"Quantization-based distributed design strategy for adaptive consensus tracking of asynchronously switched nonlinear multiagent systems","authors":"Seok Gyu Jang, Sung Jin Yoo","doi":"10.1016/j.nahs.2024.101488","DOIUrl":"https://doi.org/10.1016/j.nahs.2024.101488","url":null,"abstract":"<div><p>We propose a quantization-based distributed consensus tracking design to resolve the unknown control direction problem of uncertain switched nonlinear multiagent systems under a fully quantized environment. All feedback and communication signals for the local control design are quantized and the control coefficient functions and directions of agents are unknown. Differing from the previous literature results, the primary contribution of this work is to present a quantization-based distributed design solution to the unknown control direction problem of asynchronously switched agents in the consensus tracking field. The non-differentiability problem of virtual control laws using quantized feedback signals is addressed by employing the filter-based recursive method and developing the analysis technique of the quantization errors of Nussbaum functions. Quantization effects in local adaptive neural control laws are compensated via the adaptive tuning mechanism using quantized states. The practical stability of the overall closed-loop system is established by the common Lyapunov theory. Illustrative simulations verify the efficacy of the proposed quantization-based consensus tracking approach.</p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"53 ","pages":"Article 101488"},"PeriodicalIF":4.2,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140133984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"Robust dynamic self-triggered control for nonlinear systems using hybrid Lyapunov functions","authors":"Michael Hertneck, Frank Allgöwer","doi":"10.1016/j.nahs.2024.101485","DOIUrl":"https://doi.org/10.1016/j.nahs.2024.101485","url":null,"abstract":"<div><p>Self-triggered control (STC) is a resource efficient approach to determine sampling instants for Networked Control Systems. At each sampling instant, an STC mechanism determines not only the control inputs but also the next sampling instant. In this article, an STC approach for perturbed nonlinear systems is proposed. The approach uses a dynamic variable in addition to current state information to determine the next sampling instant, rendering the resulting STC mechanisms dynamic. Using dynamic variables has proven to be powerful for increasing sampling intervals for the closely related concept of event-triggered control, but has so far rarely been exploited for STC. Two variants of the dynamic STC approach are presented. The first variant can be used without further knowledge on the disturbance and leads to guarantees on input-to-state stability. The second variant exploits a known disturbance bound to determine sampling instants and guarantees asymptotic stability of a set containing the origin. In both cases, hybrid Lyapunov function techniques are used to derive the respective stability guarantees. Different choices for the dynamics of the dynamic variable, that lead to different particular STC mechanisms, are presented for both variants of the approach. The resulting dynamic STC mechanisms are illustrated with two numerical examples to emphasize their benefits in comparison to existing static STC approaches. Both variants are illustrated with a numerical example.</p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"53 ","pages":"Article 101485"},"PeriodicalIF":4.2,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1751570X24000220/pdfft?md5=8e34ea67e5ecc41b9a2977f105f9c727&pid=1-s2.0-S1751570X24000220-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140095618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"Corrigendum to “Stability analysis and stabilization of linear symmetric matrix-valued continuous, discrete, and impulsive dynamical systems – A unified approach for the stability analysis and the stabilization of linear systems” [Nonlinear Anal. Hybrid Syst. 46 (2022) 101242]","authors":"Corentin Briat , Vasile Dragan","doi":"10.1016/j.nahs.2024.101471","DOIUrl":"https://doi.org/10.1016/j.nahs.2024.101471","url":null,"abstract":"","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"53 ","pages":"Article 101471"},"PeriodicalIF":4.2,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1751570X24000086/pdfft?md5=4dbc652f065fd97058fdad066637ea6d&pid=1-s2.0-S1751570X24000086-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140042537","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"Relaxed criteria on admissibility analysis for singular Markovian jump systems with time delay","authors":"Xingyue Liang, Shengyuan Xu","doi":"10.1016/j.nahs.2024.101486","DOIUrl":"https://doi.org/10.1016/j.nahs.2024.101486","url":null,"abstract":"<div><p>This article studies the problem of admissibility analysis for singular Markovian jump systems with time delay. Without introducing more variables, an augmented Lyapunov–Krasovskii functional (LKF) is presented, which does not require all matrices to satisfy the positive definite constraint. Inspired by free-matrix-based inequality, an improved version is proposed to obtain more accurate estimation of the integral term. Based on the novel LKF and the improved inequality, some relaxed stochastic admissibility criteria are proposed, which are less conservative. Finally, several examples are offered to verify the effectiveness of the proposed results.</p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"53 ","pages":"Article 101486"},"PeriodicalIF":4.2,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140030381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"Mixed self/event-triggered ternary control for resilient consensus against mobile adversarial agents","authors":"Hiroki Matsume , Yuan Wang , Hideaki Ishii , Xavier Défago","doi":"10.1016/j.nahs.2024.101473","DOIUrl":"https://doi.org/10.1016/j.nahs.2024.101473","url":null,"abstract":"<div><p>In this paper, we consider the problem of multi-agent consensus in the presence of mobile adversaries. Faulty agents try to prevent the coordination among the regular agents and moreover are mobile in the sense that they can change their identities over time. Our approach towards resilient consensus is to extend the so-called mean subsequence reduced (MSR) algorithms to reduce the necessary communication based on three measures: (i) The information exchanged by the agents takes the form of ternary data in each message. (ii) A self-triggered method is first used so that agents avoid overreacting to DoS type attacks and maintain a certain communication rate. (iii) To enable the transmissions to terminate after reaching consensus, an event-triggered method is further introduced into the algorithm, resulting in a mixed protocol. Our study reveals that certain new features introduced in the protocols as well as in the conditions on network structures are critical to cope with potential attack strategies enabled by the mobile nature of the adversarial agents under ternary control. We verify the effectiveness of the proposed algorithm by means of a numerical example.</p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"52 ","pages":"Article 101473"},"PeriodicalIF":4.2,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139914591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"Adaptive stabilization for a class of nonlinearly parameterized systems with multiple unknown control directions via switching linear controllers","authors":"Ruicheng Ma, Yating Hu, Yuanchao Qu","doi":"10.1016/j.nahs.2024.101475","DOIUrl":"https://doi.org/10.1016/j.nahs.2024.101475","url":null,"abstract":"<div><p>In this paper, the adaptive control via switching linear controllers is studied for a class of nonlinearly parameterized systems with unknown control directions. For the studied system, the parametric uncertainties entering the state equations nonlinearly can be fast time-varying or jumping at unknown time instants and the bounds of the parametric uncertainties are not required to know a priori and the control directions can be unknown. First, sufficient conditions for designing an adaptive stabilizer are derived. Then, the adaptive stabilizer is a switching-type one, in which a linear controller with two undetermined design parameters to be tuned is recursively designed by backstepping, and a switching mechanism is proposed to tune these parameters online for compensating the unknown control directions and the unknown bounds of the parametric uncertainties. The undetermined design parameters are based on the upper bound estimate of the unknown parameters existing not only in the nonlinear functions but also in the control directions functions. The proposed adaptive controller globally asymptotically stabilizes the system in the sense that, for any initial conditions, the state converges to the origin while all the signals of the closed-loop system are bounded. Finally, an example is given to illustrate the effectiveness of the proposed method.</p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"52 ","pages":"Article 101475"},"PeriodicalIF":4.2,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139915360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"Command filter-based adaptive fault-tolerant tracking control for switched nonlinear systems with time-varying output constraints","authors":"Jie Zhang , Yingnan Pan , Liang Cao","doi":"10.1016/j.nahs.2024.101478","DOIUrl":"https://doi.org/10.1016/j.nahs.2024.101478","url":null,"abstract":"<div><p>In this paper, the fault-tolerant tracking control problem is addressed for switched nonlinear systems subject to time-varying output constraints and dead-zone input under arbitrary switching signal. An improved output-dependent barrier function with weight factors is presented to handle the output constraint issue, which eliminates the conservative design that converts the output constraints into the tracking error related constraints and relaxes the requirements for the initial value of the systems output. Meanwhile, the barrier function presented in this paper can be used for the time-varying/constant symmetric/asymmetric output constraints and can tackle both constrained and unconstrained cases. Besides, the performance of the systems is ensured when actuator faults and dead-zone input occur simultaneously. By establishing the new coordinate transformations, together with command filter technique and the backstepping approach, the presented adaptive control strategy ensures that all signals of the closed-loop systems are bounded. Finally, the validity of the presented method is demonstrated via two simulation examples.</p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"52 ","pages":"Article 101478"},"PeriodicalIF":4.2,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139901381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"Improved looped-functional approach for dwell-time-dependent stability analysis of impulsive systems","authors":"Hong-Bing Zeng, Wei-Min Wang, Wei Wang, Hui-Qin Xiao","doi":"10.1016/j.nahs.2024.101477","DOIUrl":"https://doi.org/10.1016/j.nahs.2024.101477","url":null,"abstract":"<div><p>This paper studies the dwell-time-dependent stability analysis of impulsive systems by using a new time-square-dependent looped-functional. Based on the Lyapunov theory and two-sided looped-functional method, a time-square-dependent looped-functional is proposed, which fully utilizes the information of both the intervals <span><math><mrow><mo>[</mo><msub><mrow><mi>t</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>,</mo><mi>t</mi><mo>]</mo></mrow></math></span> and <span><math><mrow><mo>[</mo><mi>t</mi><mo>,</mo><msub><mrow><mi>t</mi></mrow><mrow><mi>k</mi><mo>+</mo><mn>1</mn></mrow></msub><mo>]</mo></mrow></math></span>. Then, by applying Jensen’s inequality and free-matrix-based inequalities to deal with integral terms in the functional derivatives, sufficient stability conditions in the form of linear matrix inequality are derived for periodic and aperiodic impulsive systems. Finally, numerical examples and simulation tests are given to illustrate the effectiveness and superiority of the proposed method.</p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"52 ","pages":"Article 101477"},"PeriodicalIF":4.2,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139749258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"On global exponential stability of discrete-time switching systems with dwell-time ranges: Novel induced LMIs for linear systems with delays","authors":"Pierdomenico Pepe","doi":"10.1016/j.nahs.2024.101476","DOIUrl":"https://doi.org/10.1016/j.nahs.2024.101476","url":null,"abstract":"<div><p>In this paper, we provide necessary and sufficient Lyapunov conditions for discrete-time switching systems to be globally exponentially stable, when the switching signal obeys to a switches digraph and is subject to dwell-time constraints. In order to best exploit the information on switching-dwelling constraints, conditions are given by means of multiple Lyapunov functions. The number of involved Lyapunov functions is equal to the number of switching modes. To avoid a pileup of Lyapunov functions, we do not introduce dummy vertices that account for dwell-time ranges. For example, in the linear case, such a pileup corresponds to a pileup of decision matrices related to some linear matrix inequalities. A link between global exponential stability and exponential input-to-state stability is provided. The following result is proved: if, in the case of zero input, the discrete-time switching system is globally exponentially stable, and the functions describing the dynamics of the subsystems, with input, are suitably globally Lipschitz, then the switching system is exponentially input-to-state stable. Finally, exploiting the well known relationship between discrete-time systems with delays and discrete-time switching systems, the provided results are shown for the former systems, in the linear case. In particular, linear matrix inequalities, by which the global exponential stability of linear discrete-time systems with constrained time delays can be possibly established, are provided. The utility of these linear matrix inequalities is shown with a numerical example taken from the literature.</p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"52 ","pages":"Article 101476"},"PeriodicalIF":4.2,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1751570X2400013X/pdfft?md5=d5c33853de8186daf4484beef0600fa3&pid=1-s2.0-S1751570X2400013X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139737166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}
Junyan Xu , Yang Liu , Qingxin Meng , Jinde Cao , Mahmoud Abdel-Aty
{"title":"Unified stability criteria for impulsive stochastic delayed systems","authors":"Junyan Xu , Yang Liu , Qingxin Meng , Jinde Cao , Mahmoud Abdel-Aty","doi":"10.1016/j.nahs.2024.101474","DOIUrl":"https://doi.org/10.1016/j.nahs.2024.101474","url":null,"abstract":"<div><p>This paper investigates the <span><math><mi>p</mi></math></span>th moment exponential stability of impulsive stochastic delayed systems (ISDS). New stability criteria for ISDS are developed by applying the Razumikhin approach and a novel concept of average random impulsive estimation (ARIE). Stochastic impulsive strength, the time-varying delay in continuous dynamics, and the impulsive delay are considered simultaneously, and there are no imposed restrictions on their sizes. Utilizing ARIE, the proposed control scheme with stabilizing impulse can still ensure the stability of the whole system under the presence of impulsive perturbations at some impulsive instants, that is, it allows some impulsive intensities at impulsive instants are greater than 1 or a certain threshold which is more than 1. In addition, the requirement for the sign of time-derivative of Razumikhin function is also relaxed. Several illustrated examples are given to verify the effectiveness of our proposed results.</p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"52 ","pages":"Article 101474"},"PeriodicalIF":4.2,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139733294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}