Finite-Time Synchronization of Delayed Fractional-Order Heterogeneous Complex Networks

Yonggui Kao, Changhong Wang, Hongwei Xia and Yue Cao
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Yonggui Kao: Harbin Institute of Technology (Weihai), Department of Mathematics
Changhong Wang: Harbin Institute of Technology, School of Astronautics
Hongwei Xia: Harbin Institute of Technology, School of Astronautics
Yue Cao: Harbin Institute of Technology (Weihai), Department of Mathematics

Chapter Chapter 4 in Analysis and Control for Fractional-order Systems, 2024, pp 49-67 from Springer

Abstract: Abstract This chapter is devoted to exploring the finite-time (FET) synchronization problem of time-varying delay fractional-order (FO) coupled heterogeneous complex networks (TFCHCNs) with external interference via a discontinuous feedback controller. Firstly, we propose a novel Lemma which is useful for discussing the FET stability and synchronization problem of FO systems. Secondly, based on the proposed Lemma, a discontinuous feedback controller is designed to guarantee the FET synchronization of TFCHCNs with external interference. Moreover, the upper bound of settling-time function is obtained. Finally, two simulation examples are provided to verify the practicability of our findings.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-99-6054-5_4

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DOI: 10.1007/978-981-99-6054-5_4

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