Adaptive synchronization of two Lorenz systems

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141 Citations (Scopus)

Abstract

This paper treats the synchronization problem of two Lorenz systems in the presence of unknown system parameters. Based on the Lyapunov stability theory, an adaptive control law is derived such that the two Lorenz systems are to be synchronized. A robust adaptive control law is also presented to guarantee the robustness of the synchronization against a bounded disturbance. Simulation results are given to demonstrate the effectiveness and robustness of the proposed control schemes.

Original languageEnglish
Pages (from-to)1555-1561
Number of pages7
JournalChaos, solitons and fractals
Volume9
Issue number9
DOIs
Publication statusPublished - 1998

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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