Sliding mode control and modified generalized projective synchronization of a new fractional-order chaotic system
type: Item
instance of: scholarly article
title: Sliding mode control and modified generalized projective synchronization of a new fractional-order chaotic system
zbMATH Open document ID: 1394.34124
DOI: 10.1155/2015/941654
author: Junbiao Guan
author: Kaihua Wang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: A new fractional-order chaotic system is addressed in this paper. By applying the continuous frequency distribution theory, the indirect Lyapunov stability of this system is investigated based on sliding mode control technique. The adaptive laws are designed to guarantee the stability of the system with the uncertainty and external disturbance. Moreover, the modified generalized projection synchronization (MGPS) of the fractional-order chaotic systems is discussed based on the stability theory of fractional-order system, which may provide potential applications in secure communication. Finally, some numerical simulations are presented to show the effectiveness of the theoretical results.
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 93B12
zbMATH DE Number: 6927633
Wikidata QID: Q59120368
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/941654
OpenAlex ID: W2122991493
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Mittag-Leffler stability of fractional order nonlinear dynamic systems
cites work: Mittag-Leffler-Ulam stabilities of fractional evolution equations
cites work: A Lyapunov approach to the stability of fractional differential equations
cites work: Hyperchaos synchronization of fractional-order arbitrary dimensional dynamical systems via modified sliding mode control
cites work: Robust synchronization of two different uncertain fractional-order chaotic systems via adaptive sliding mode control
cites work: A note on stability of sliding mode dynamics in suppression of fractional-order chaotic systems
cites work: Sliding mode control of quantized systems against bounded disturbances
cites work: Generalized and projective synchronization in modulated time-delayed systems
cites work: Modified generalized projective synchronization of a new fractional-order hyperchaotic system and its application to secure communication
description: scientific article; zbMATH DE number 6927633