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Chaos : Improvements and applications of entrainment control for nonlinear dynamical systems

By Fang Liu, Qiang Song, and Jinde Cao

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Book Id: WPLBN0002169302
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 2 December 2008

Title: Chaos : Improvements and applications of entrainment control for nonlinear dynamical systems  
Author: Fang Liu, Qiang Song, and Jinde Cao
Volume: Issue : December 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection, Chaos Collection
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Publication Date:
Publisher: American Institute of Physics

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Qiang Song, And Jinde Ca, F. L. (n.d.). Chaos : Improvements and applications of entrainment control for nonlinear dynamical systems. Retrieved from http://worldebookfair.com/


Description
Description: This paper improves the existing entrainment control approaches and develops unified schemes to chaos control and generalized (lag, anticipated, and complete) synchronization of nonlinear dynamical systems. By introducing impulsive effects to the open-loop control method, we completely remove its restrictions on goal dynamics and initial conditions, and derive a sufficient condition to estimate the upper bound of impulsive intervals to ensure the global asymptotic stability. We then propose two effective ways to implement the entrainment strategy which combine open-loop and closed-loop control, and we prove that the feedback gains can be chosen according to a lower bound or be tuned with an adaptive control law. Numerical examples are given to verify the theoretical results and to illustrate their applications.

 

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