Adaptive synchronization of two Lorenz systems

Teh Lu Liao

doi:10.1016/S0960-0779(97)00161-6

Adaptive synchronization of two Lorenz systems

Teh Lu Liao

Department of Engineering Science

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1555-1561
Number of pages	7
Journal	Chaos, solitons and fractals
Volume	9
Issue number	9
DOIs	https://doi.org/10.1016/S0960-0779(97)00161-6
Publication status	Published - 1998

All Science Journal Classification (ASJC) codes

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

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title = "Adaptive synchronization of two Lorenz systems",

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.",

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AB - 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.

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DO - 10.1016/S0960-0779(97)00161-6

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

SN - 0960-0779

IS - 9

ER -

Adaptive synchronization of two Lorenz systems

Abstract

All Science Journal Classification (ASJC) codes

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