Rate Estimation of Identical Synchronization by Designing Controllers | Zendy

Mitul Islam | Zendy; Bipul Islam | Zendy; Nurul Islam | Zendy

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Rate Estimation of Identical Synchronization by Designing Controllers

Author(s) -

Mitul Islam,

Bipul Islam,

Nurul Islam

Publication year - 2013

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2013/590462

Subject(s) - synchronization (alternating current) , control theory (sociology) , mathematics , context (archaeology) , synchronization of chaos , chaotic , basis (linear algebra) , set (abstract data type) , control (management) , computer science , topology (electrical circuits) , artificial intelligence , paleontology , geometry , combinatorics , biology , programming language

This paper investigates the synchronization rate for identical synchronization of chaotic dynamical systems, achieved by using controllers. The paper stresses on the hybrid feedback control technique and the tracking control technique and determines their corresponding maximum, minimum, and average synchronization rates. The results obtained are applied on the Shimizu-Morioka chaotic system, and some necessary and sufficient conditions for synchronization are obtained. Comparison of the two controllers is undertaken on the basis of their synchronization rates, in the context of the Shimizu-Morioka system. The results are analyzed both theoretically and numerically. Moreover, a method of graphical analysis is proposed to completely characterize the set of hybrid controllers for a given system

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