Prescribed performance synchronization for time-delayed complex dynamical networks under event-triggered pinning control

Bolei Dong,

Bolei Dong

Department of Applied Mathematics, Harbin University of Science and Technology, Harbin, China

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Yujing Shi,

Corresponding Author

Yujing Shi

[email protected]

orcid.org/0000-0003-2514-5591

Department of Applied Mathematics, Harbin University of Science and Technology, Harbin, China

Department of Computer Science and Mathematics, Fujian University of Technology, Fuzhou, China

Correspondence Yujing Shi, Department of Applied Mathematics, Harbin University of Science and Technology, Harbin, China.

Email: [email protected]

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Bolei Dong,

Bolei Dong

Department of Applied Mathematics, Harbin University of Science and Technology, Harbin, China

Search for more papers by this author

Yujing Shi,

Corresponding Author

Yujing Shi

[email protected]

orcid.org/0000-0003-2514-5591

Department of Applied Mathematics, Harbin University of Science and Technology, Harbin, China

Department of Computer Science and Mathematics, Fujian University of Technology, Fuzhou, China

Correspondence Yujing Shi, Department of Applied Mathematics, Harbin University of Science and Technology, Harbin, China.

Email: [email protected]

Search for more papers by this author

First published: 30 August 2021

https://doi.org/10.1002/rnc.5751

Citations: 3

Funding information: National Natural Science Foundation of China, 12071102; the Fundamental Research Foundation for Universities of Heilongjiang Province of China, 2019-KYYWF-0215

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Abstract

In this article, a new event-based pinning synchronization control strategy for complex dynamical networks with internal delay and transmission delay is investigated. By introducing prescribed performance control schemes, the transient and steady performance of synchronization errors are guaranteed simultaneously. The main results in the article show that, not only exponential synchronization is achieved, but also the transient bounded of synchronization errors is guaranteed based on Lyapunov approach. Furthermore, an efficient event-based mechanism is derived to avoid the infinitely fast switching of the pinning node set. We also develop a new selection-algorithm to find certain suitable nodes to be controlled and these selected nodes will be updated online at each triggering instant. At last, the simulation examples are made to demonstrate the effectiveness and superiority of the obtained results.

CONFLICT OF INTEREST

The authors declare no potential conflict of interest.

Open Research

DATA AVAILABILITY STATEMENT

All data generated or analyzed during this study are included in this article.

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