The Adaptive Synchronization of the Stochastic Fractional-order Complex Lorenz System

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Authors

  • Xiaojun Liu State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University Xi’an, 710049, China Author
  • Ling Hong State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University Xi’an, 710049, China Author

DOI:

https://doi.org/10.5890/JAND.2015.09.007

Abstract

In this paper, the adaptive synchronization of a stochastic fractionalorder complex Lorenz system is analyzed. Firstly, the Laguerre polynomial approximation method is applied to investigate the fractionalorder system with a random parameter which obeys an exponential distribution. Based on this method, the stochastic system is reduced into the equivalent deterministic one. Besides, based on the stability theory of fractional-order systems, the adaptive synchronization for the deterministic system with unknown parameters is realized by designing appropriate synchronization controllers and estimation laws for uncertain parameters. Numerical simulations are used to demonstrate the effectiveness and feasibility of the proposed scheme.

References

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PublishedSeptember 2015

Usage tracking begins September 1, 2026.

History Published

Issue

Vol. 4 No. 3 (2015): Regular Issue

Section

Research Articles

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Unless an article landing page states a Creative Commons or other article-specific license, the article is published by L&H Scientific Publishing, LLC and all rights are reserved. The article-level license and copyright notice govern access and reuse.

How to Cite

Liu, X., & Hong, L. (2026). The Adaptive Synchronization of the Stochastic Fractional-order Complex Lorenz System. Journal of Applied Nonlinear Dynamics, 4(3), 267-279. https://doi.org/10.5890/JAND.2015.09.007

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