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Finite-Time Synchronization for Coupled Heterogeneous Complex Networks via Differential Inequality Way

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Abstract

This paper considers the finite-time synchronization (FTS) for the drive-response (DR) coupled heterogeneous complex networks. By adopting differential inequality approach, two criteria on FTS for the networks are derived. Up to now, the FTS for DR complex networks (CNS) has been studied usually by adopting the finite-time stability theorems, Lyapunov functional way and linear matrix inequality. The results obtained have been independent of the initial values of systems. But, in this paper, without applying above approaches, the FTS criterias related to the initial values of the considered DR CNS are attained by adopting the differential inequality method. So, our study has important theoretical and practical significance.

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Data Availability

All data included in this study are available upon request by contact with the corresponding author.

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Funding

Science and technology project of Jiangxi education department, China (No: GJJ212607; No: GJJ191116; No: GJJ202602); Key RD Project of Jiangxi Provincial Department of Science and Technology, China (20192BBEL50040)

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Authors and Affiliations

  1. School of Mathematics and Information Science, Nanchang Normal University, Nanchang, 330032, China

    Huaying Liao

  2. College of Mathematics, Hunan University, Changsha, 410082, China

    Zhengqiu Zhang

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  1. Huaying Liao
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  2. Zhengqiu Zhang
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HL has written the whole paper firstly, ZZ revised paper and done the example.

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Correspondence to Zhengqiu Zhang.

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Liao, H., Zhang, Z. Finite-Time Synchronization for Coupled Heterogeneous Complex Networks via Differential Inequality Way. Neural Process Lett 55, 7851–7868 (2023). https://doi.org/10.1007/s11063-023-11284-3

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  • DOI: https://doi.org/10.1007/s11063-023-11284-3

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