Synchronization of generalized fractional complex networks with partial subchannel losses

Changping Dai; Weiyuan Ma; Ling Guo; Changping Dai; Weiyuan Ma; Ling Guo

doi:10.3934/math.2024344

AIMS Mathematics

2024, Volume 9, Issue 3: 7063-7083. doi: 10.3934/math.2024344

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Research article Special Issues

Synchronization of generalized fractional complex networks with partial subchannel losses

1.
School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730000, China
2.
College of Electrical Engineering, Northwest Minzu University, Lanzhou 730000, China

Received: 24 November 2023 Revised: 26 January 2024 Accepted: 30 January 2024 Published: 19 February 2024
MSC : 26A33, 34K24, 34K37, 65R10, 68R10

This article focuses on the synchronization problem for two classes of complex networks with subchannel losses and generalized fractional derivatives. Initially, a new stability theorem for generalized fractional nonlinear system is formulated using the properties of generalized fractional calculus and the generalized Laplace transform. This result is also true for classical fractional cases. Subsequently, synchronization criteria for the generalized fractional complex networks are attained by the proposed stability theorem and the state layered method. Lastly, two numerical examples with some new kernel functions are given to validate the synchronization results.
- generalized fractional calculus,
- stability,
- complex network,
- synchronization,
- subchannel losses
Citation: Changping Dai, Weiyuan Ma, Ling Guo. Synchronization of generalized fractional complex networks with partial subchannel losses[J]. AIMS Mathematics, 2024, 9(3): 7063-7083. doi: 10.3934/math.2024344

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Abstract

This article focuses on the synchronization problem for two classes of complex networks with subchannel losses and generalized fractional derivatives. Initially, a new stability theorem for generalized fractional nonlinear system is formulated using the properties of generalized fractional calculus and the generalized Laplace transform. This result is also true for classical fractional cases. Subsequently, synchronization criteria for the generalized fractional complex networks are attained by the proposed stability theorem and the state layered method. Lastly, two numerical examples with some new kernel functions are given to validate the synchronization results.

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