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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1002/cite.330350203

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1573-269X

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A single adaptive controller with one variable for

Authors: Xuerong Shi Zuolei Wang
Publish Date: 2011/11/05
Volume: 69, Issue: 1-2, Pages: 117-125
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Abstract

Time delays are ubiquitous in real world and are often sources of complex behaviors of dynamical systems This paper addresses the problem of parameter identification and synchronization of uncertain hyperchaotic timedelayed systems Based on the Lyapunov stability theory and the adaptive control theory a single adaptive controller with one variable for synchronizing two identical timedelay hyperchaotic Lorenz systems with mismatch parameters is proposed The parameter update laws and sufficient conditions of the scheme are obtained for both linear feedback and adaptive control approaches Numerical simulations are also given to show the effectiveness of the proposed method

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