{"title":"Graph theory-based synchronization for stochastic uncertain complex dynamical networks via inverse optimal adaptive control","authors":"Xuhui Guo, Zhiyi Yao, Di Wang, Huaizhu Wang","doi":"10.1049/cth2.12619","DOIUrl":null,"url":null,"abstract":"<p>This paper is concerned with the synchronization of stochastic uncertain complex dynamic networks with time-varying delays. In contrast to existing synchronization network models, the current study considers both internal time-varying delays and coupling time-varying delays. By analyzing the two factors (i.e. time-varying delays and uncertainties) on the synchronization performance of stochastic uncertain complex dynamic networks, a new inverse optimal adaptive control is proposed. The analysis tool developed in this paper is based on Lyapunov technique, algebraic graph theory and inverse optimality, which does not need to solve Hamilton-Jacobi-Bellman equation. Some sufficient conditions are established for the synchronization of stochastic uncertain complex dynamic networks with time-varying delays. To demonstrate the effectiveness of the present approach, simulation results are illustrated.</p>","PeriodicalId":50382,"journal":{"name":"IET Control Theory and Applications","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1049/cth2.12619","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IET Control Theory and Applications","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1049/cth2.12619","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper is concerned with the synchronization of stochastic uncertain complex dynamic networks with time-varying delays. In contrast to existing synchronization network models, the current study considers both internal time-varying delays and coupling time-varying delays. By analyzing the two factors (i.e. time-varying delays and uncertainties) on the synchronization performance of stochastic uncertain complex dynamic networks, a new inverse optimal adaptive control is proposed. The analysis tool developed in this paper is based on Lyapunov technique, algebraic graph theory and inverse optimality, which does not need to solve Hamilton-Jacobi-Bellman equation. Some sufficient conditions are established for the synchronization of stochastic uncertain complex dynamic networks with time-varying delays. To demonstrate the effectiveness of the present approach, simulation results are illustrated.
期刊介绍：
IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces.
Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed.
Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.
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