Robust finite-time global synchronization of chaotic systems with different orders

Israr Ahmad, Muhammad Shafiq, Azizan Bin Saaban, Adyda Binti Ibrahim, Mohammad Shahzad

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

This article proves that the robust finite-time synchronization behavior can be achieved for the chaotic systems with different orders. Based on the Lyapunov stability theory and using the nonlinear feedback control, sufficient algebraic conditions are derived to compute the linear controller gains. These gains are then used to achieve the robust finite time increasing order and reduced order synchronization of the chaotic systems. This study also discusses the design of a controller that accomplishes the finite time synchronization of two chaotic systems of different dimensions under the effect of both unknown model uncertainties and external disturbances. Numerical simulation results are furnished to validate the theoretical findings.

Original languageEnglish
Pages (from-to)8172-8185
Number of pages14
JournalOptik
Volume127
Issue number19
DOIs
Publication statusPublished - Oct 1 2016

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time synchronization
Chaotic systems
synchronism
controllers
Synchronization
nonlinear feedback
feedback control
Nonlinear feedback
Controllers
disturbances
Feedback control
simulation
Computer simulation

Keywords

  • Finite time synchronization
  • Lorenz chaotic system
  • Lorenz hyperchaotic system
  • Lyapunov stability theory
  • Nonlinear control

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics

Cite this

Robust finite-time global synchronization of chaotic systems with different orders. / Ahmad, Israr; Shafiq, Muhammad; Saaban, Azizan Bin; Ibrahim, Adyda Binti; Shahzad, Mohammad.

In: Optik, Vol. 127, No. 19, 01.10.2016, p. 8172-8185.

Research output: Contribution to journalArticle

Ahmad, Israr ; Shafiq, Muhammad ; Saaban, Azizan Bin ; Ibrahim, Adyda Binti ; Shahzad, Mohammad. / Robust finite-time global synchronization of chaotic systems with different orders. In: Optik. 2016 ; Vol. 127, No. 19. pp. 8172-8185.
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