Finite-time H∞ synchronization for complex dynamical networks with time-varying delays based on adaptive control
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Updated: Oct 8, 2025

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Published on: May 8, 2021
1School of Science, Yanshan University, Qinhuangdao Hebei, 066004, PR China.
Abstract:
This paper investigates the problem of finite-time H∞ synchronization (H∞FTS) for complex dynamical networks (CDNs) with time-varying delays(TVDs) and unknown internal coupling matrices. External disturbances are also considered into this model. By applying the adaptive control theory, this paper presents the adaptive control method to solve the H∞FTS of CDNs with external disturbances and TVDs. Some criteria are obtained by utilizing appropriate adaptive controllers and devising a special Lyapunov-Krasovskii function (LKF), which ensure the H∞FTS of CDNs based on passivity theory. Finally, using some effective mathematical techniques, comparative numerical example and Chua's circuit system are used to explain the advantages and applicability of the results and approaches.
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