Synchronization of fractional chaotic complex networks with distributed delays

Hu, Jinbo; Li, Guoping; Zhao, Lanhao

doi:10.1007/s11071-015-2390-9

Cited by 16 publications

(6 citation statements)

References 29 publications

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“…And according to the theoretical studies, researchers found that it has some good properties (such as the infinite memory and genetic characteristics) and more degrees of freedom compared with the integer-order calculus [34,35]. Therefore, many researchers have been investigating the fractionalorder dynamical networks [24][25][26][27][28][29][30][31][32][33]. In [24], Si et al considered the structure identification problem of fractionalorder dynamical networks, and proposed a novel method to effectively identify the system parameters and network topology based on the stability analysis of fractionalorder system.…”

Section: Introductionmentioning

confidence: 99%

Structure Identification of Fractional-order Complex-variable Network With Complex Coupling

Zhou

2021

Preprint

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Fractional-order complex-variable dynamical network with complex coupling is considered in this paper. The topological structures and system parameters are assumed to be unknown. As we know, the topological structure and system parameters play a key role on the dynamical behavior of complex network. Thus, how to effectively identify them is a critical issue for better studying the network. Through designing proper controllers and updating laws, two corresponding network estimators are constructed. Based on the Lyapunov function method and Gronwall-Bellman integral inequality, the results are analytically derived. Finally, two numerical examples are performed to illustrate the feasibility of the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Structure Identification of Fractional-order Complex-variable Network With Complex Coupling

Zhou

2021

Preprint

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“…Wang and Yang studied cluster synchronization of fractional-order coupled-delay complex network via adaptive pinning control [25]. Hu and Lu realized synchronizing fractional complex networks with distributed delays by constructing an extending item based on the stability theorem of fractional system without delay [9].…”

Section: Introductionmentioning

confidence: 99%

Synchronization of fractional chaotic complex networks with delays

Hu¹,

Wei²,

Feng³

et al. 2019

Kybernetika

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“…Furthermore, this property is neglected in theoretical analysis process of many research reports. It is necessary to point out these errors and promote the development of control theory of fractional system . For convenience, we rewrite the main definitions, lemmas, and proof process according the reference …”

Section: Introductionmentioning

confidence: 99%