Year: 2024
Type: article
Abstract: This article addresses the global synchronization of fractional dynamical networks with both delayed and non-delayed couplings under a switching topology, where the coupling configuration matrices need not be commutative. By utilizing a modified fractional Razumikhin technique, the common Lyapunov function method and graph theory, we present a convenient and effective approach to establish reliable algebraic criteria for global synchronization. Our method effectively overcomes the challenges associated with fractional calculus, time delays, and switching topologies. A key finding is that global synchronization can be achieved more rapidly by adding additional edges to the coupling configuration graphs. Additionally, an illustrative example is provided to demonstrate the effectiveness of our theoretical results.
Source: Physica Scripta
Authors: Genan Pan, Denghao Pang, Song Liu
Institutions: Hefei Normal University, Anhui University
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: bronze
Awards: G1058816117, G4681850867, G4766499629
OpenAlex ID: W4405932033