Next Article in Journal
On Some New Maclaurin’s Type Inequalities for Convex Functions in q-Calculus
Next Article in Special Issue
A Fast θ Scheme Combined with the Legendre Spectral Method for Solving a Fractional Klein–Gordon Equation
Previous Article in Journal
Finite-Time Stabilization of Unstable Orbits in the Fractional Difference Logistic Map
Previous Article in Special Issue
Probing Families of Optical Soliton Solutions in Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model with Improved Versions of Extended Direct Algebraic Method
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Fractal Fract
Volume 7
Issue 8
10.3390/fractalfract7080571
fractalfract-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Asymptotic and Pinning Synchronization of Fractional-Order Nonidentical Complex Dynamical Networks with Uncertain Parameters

by
Yu Wang
,
Xiliang He
* and
Tianzeng Li
School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
*
Author to whom correspondence should be addressed.
Fractal Fract. 2023, 7(8), 571; https://doi.org/10.3390/fractalfract7080571
Submission received: 20 May 2023 / Revised: 23 July 2023 / Accepted: 23 July 2023 / Published: 25 July 2023
(This article belongs to the Special Issue Numerical Solution and Applications of Fractional Differential Equations)
Browse Figures
Versions Notes

Abstract

This paper is concerned with the asymptotic and pinning synchronization of fractional-order nonidentical complex dynamical networks with uncertain parameters (FONCDNUP). First of all, some synchronization criteria of FONCDNUP are proposed by using the stability of fractional-order dynamical systems and inequality theory. Moreover, a novel controller is derived by using the Lyapunov direct method and the differential inclusion theory. Next, based on the Lyapunov stability theory and pinning control techniques, a new group of sufficient conditions to assure the synchronization for FONCDNUP are obtained by adding controllers to the sub-nodes of networks. At last, two numerical simulations are utilized to illustrate the validity and rationality of the acquired results.
Keywords: pinning synchronization; nonidentical networks; uncertain parameters pinning synchronization; nonidentical networks; uncertain parameters

Share and Cite

MDPI and ACS Style

Wang, Y.; He, X.; Li, T. Asymptotic and Pinning Synchronization of Fractional-Order Nonidentical Complex Dynamical Networks with Uncertain Parameters. Fractal Fract. 2023, 7, 571. https://doi.org/10.3390/fractalfract7080571

AMA Style

Wang Y, He X, Li T. Asymptotic and Pinning Synchronization of Fractional-Order Nonidentical Complex Dynamical Networks with Uncertain Parameters. Fractal and Fractional. 2023; 7(8):571. https://doi.org/10.3390/fractalfract7080571

Chicago/Turabian Style

Wang, Yu, Xiliang He, and Tianzeng Li. 2023. "Asymptotic and Pinning Synchronization of Fractional-Order Nonidentical Complex Dynamical Networks with Uncertain Parameters" Fractal and Fractional 7, no. 8: 571. https://doi.org/10.3390/fractalfract7080571

APA Style

Wang, Y., He, X., & Li, T. (2023). Asymptotic and Pinning Synchronization of Fractional-Order Nonidentical Complex Dynamical Networks with Uncertain Parameters. Fractal and Fractional, 7(8), 571. https://doi.org/10.3390/fractalfract7080571

Article Metrics

Back to TopTop