2008
DOI: 10.1088/1674-1056/17/2/025
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Passive control and synchronization of hyperchaotic Chen system

Abstract: This paper investigates the control and synchronization of hyperchaotic Chen system based on the passive theory. By using two outputs, novel passive controllers are respectively designed to realize the globally asymptotical stability of the hyperchaotic Chen system and the error dynamical system, which avoids mistakes in Ref. [11], where function W (z) cannot guarantee that f 0 (z) is globally asymptotically stable via only one output and W (z) is the Lyapunov function of f 0 (z). Furthermore, numerical simula… Show more

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Cited by 29 publications
(3 citation statements)
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“…h(x) is a smooth mapping. The system (17) should hold two conditions such that realize the passive synchronization control [22] 1) The controlled system is minimum phase system; 2) For the controlled system if exists a real value constant  such that for any 0 t  , the (24) holds.…”
Section: Passsive Synchronizationmentioning
confidence: 99%
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“…h(x) is a smooth mapping. The system (17) should hold two conditions such that realize the passive synchronization control [22] 1) The controlled system is minimum phase system; 2) For the controlled system if exists a real value constant  such that for any 0 t  , the (24) holds.…”
Section: Passsive Synchronizationmentioning
confidence: 99%
“…Remark 4:It is important to prove characteristic of minimum phase system of the controlled system, however, because of the different system's structures will lead to constructing W(z) function become very complex such as literature [21], [22]. However, in this section appropriate positive definite matrix P is introduced to greatly simplify the structure of W(z) function.…”
Section: Passsive Synchronizationmentioning
confidence: 99%
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