Leader–follower synchronization of heterogeneous dynamical networks with unknown parameters

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-04 DOI:10.1016/j.nonrwa.2025.104341

Xinzhi Liu , Hongtao Zhang

引用次数: 0

Abstract

This paper studies leader–follower synchronization of a class of heterogeneous dynamical networks with unknown system parameters. Aiming at various unknown parameters, we design the corresponding adaptive controllers and updating laws, respectively. Based on Lyapunov stability theorem, network synchronization criteria are given to guarantee the effectiveness of our adaptive synchronization approaches. Finally, numeral examples, realizing network synchronization in a complex dynamical network including Lorenz system, Chen system and Rössler system with a modified Chua’s circuit, are given to verify the correctness of our main results.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.