Impulsive Synchronization of Time-Scales Complex Networks with Time-Varying Topology

Abstract

The dynamics of complex networks (CNs) often does not appear as absolutely continuous or discrete, but more likely to be mixed. This paper discusses the asymptotic synchronization problem of a class of complex networks with time-varying topology (TTCNs). Based on time scales theory, it obtains a general scale-type synchronization condition for TTCNs on different time scales. An impulsive control method is taken into account when the condition is not met, and a scale-type criterion is established in such situation. Simulations verify the effectiveness of our conclusions on different time scales, including continuous, discrete with arbitrary step, and mixed cases.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Complex Networks; Dynamical Networks; Impulsive Synchronization; Time Scales; Time-Varying

International Standard Serial Number (ISSN)

1007-5704

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2020 Elsevier B.V., All rights reserved.

Publication Date

01 Jan 2020

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