Synchronization of Chaos in Nonlinear Finance System by means of Sliding Mode and Passive Control Methods: A Comparative Study


KOCAMAZ U. E. , GÖKSU A., TAŞKIN H., UYAROĞLU Y.

INFORMATION TECHNOLOGY AND CONTROL, vol.44, no.2, pp.172-181, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.5755/j01.itc.44.2.7732
  • Journal Name: INFORMATION TECHNOLOGY AND CONTROL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.172-181
  • Keywords: Chaotic finance system, chaos synchronization, sliding mode control, passive control, BIFURCATION
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, two different control methods, namely sliding mode control and passive control, are investigated for the synchronization of two identical chaotic finance systems with different initial conditions. Based on the sliding mode control theory, a sliding surface is determined. A Lyapunov function is used to prove that the passive controller provides global asymptotic stability of the system. Numerical simulations validate the synchronization of chaotic finance systems with the proposed sliding mode and passive control methods. The synchronization performance of these two methods is compared and discussed.