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Systems 2016, 4(1), 2; doi:10.3390/systems4010002

A Research on Active Control to Synchronize a New 3D Chaotic System

1
School of Quantitative Sciences, College of Arts & Sciences, Saintok, Keddha 06010, Malaysia
2
College of Applied Sciences Nizwa, Ministry of Higher Education, Nizwa 611, Oman
*
Author to whom correspondence should be addressed.
Academic Editor: Khac Duc Do
Received: 28 July 2015 / Revised: 18 October 2015 / Accepted: 21 December 2015 / Published: 28 December 2015
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Abstract

This paper presents the robust synchronization problem of a 3D chaotic system by using the active control technique. Based on the Gershgorin theorem and Routh-Hurwitz criterion, sufficient algebraic conditions are derived to design a linear controller gain matrix. The conditions are then applied for the robust stability of the synchronization error dynamics in the presence of an unknown bounded smooth external disturbance. The proposed active control strategy with a suitable computation of the linear controller gain matrix is simple in design and establishes fast convergence rates of the synchronization error signals. Numerical simulation results further verified the analytical results. View Full-Text
Keywords: chaos synchronization; active control; Routh-Hurwitz criterion; Gershgorin theorem chaos synchronization; active control; Routh-Hurwitz criterion; Gershgorin theorem
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Ahmad, I.; Saaban, A.B.; Ibrahim, A.B.; Shahzad, M. A Research on Active Control to Synchronize a New 3D Chaotic System. Systems 2016, 4, 2.

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