Receding horizon chaos synchronization method

Choon Ki Ahn, Chul Dong Lee, Moon Kyou Song

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This article proposes a new synchronization method, called a receding horizon synchronization (RHS) method, for a general class of chaotic systems. A new linear matrix inequality (LMI) condition on the finite terminal weighting matrix is proposed for chaotic systems under which non-increasing monotonicity of the optimal cost is guaranteed. It is shown that the proposed terminal inequality condition guarantees the closed-loop stability of the RHS method for chaotic systems. As an application of the proposed method, the RHS problem for Chua's chaotic system is investigated.

Original languageEnglish
Pages (from-to)529-534
Number of pages6
JournalApplied Mathematics and Information Sciences
Volume6
Issue number3
Publication statusPublished - 2012 Sep 1
Externally publishedYes

Fingerprint

Chaos Synchronization
Chaotic systems
Chaos theory
Chaotic System
Horizon
Synchronization
Linear matrix inequalities
Closed-loop
Weighting
Monotonicity
Matrix Inequality
Linear Inequalities
Costs

Keywords

  • chaos synchronization
  • Cost monotonicity
  • Linear matrix inequality (LMI)
  • Receding horizon control (RHC)

ASJC Scopus subject areas

  • Applied Mathematics
  • Numerical Analysis
  • Analysis
  • Computer Science Applications
  • Computational Theory and Mathematics

Cite this

Receding horizon chaos synchronization method. / Ahn, Choon Ki; Lee, Chul Dong; Song, Moon Kyou.

In: Applied Mathematics and Information Sciences, Vol. 6, No. 3, 01.09.2012, p. 529-534.

Research output: Contribution to journalArticle

Ahn, Choon Ki ; Lee, Chul Dong ; Song, Moon Kyou. / Receding horizon chaos synchronization method. In: Applied Mathematics and Information Sciences. 2012 ; Vol. 6, No. 3. pp. 529-534.
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