Finite-time Hoo synchronization for complex dynamical networks with time-varying delays based on adaptive control

This paper investigates the problem of finite-time Hoo synchronization (HooFTS) 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 HooFTS 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 HooFTS 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.(c) 2021 ISA. Published by Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates the problem of finite-time Hoo synchronization for complex dynamical networks with time-varying delays and unknown internal coupling matrices. It presents an adaptive control method to solve the synchronization problem by utilizing appropriate adaptive controllers and devising a special Lyapunov-Krasovskii function.