Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal

doi:10.1088/1674-1056/21/6/060504

中国物理B ›› 2012, Vol. 21 ›› Issue (6): 60504-060504.doi: 10.1088/1674-1056/21/6/060504

Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal

Giuseppe Grassi

Dipartimento Ingegneria Innovazione Universit? del Salento - 73100 Lecce-Italy

收稿日期:2011-09-06 修回日期:2011-10-12 出版日期:2012-05-01 发布日期:2012-05-01

Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal

Giuseppe Grassi^†

Dipartimento Ingegneria Innovazione Università del Salento - 73100 Lecce-Italy

Received:2011-09-06 Revised:2011-10-12 Online:2012-05-01 Published:2012-05-01
Contact: Giuseppe Grassi E-mail:giuseppe.grassi@unisalento.it

摘要/Abstract

摘要： In this paper we present a new projective synchronization scheme, where two chaotic (hyperchaotic) discrete-time systems synchronize for any arbitrary scaling matrix. Specifically, each drive system state synchronizes with a linear combination of response system states. The proposed observer-based approach presents some useful features: i) it enables {exact} synchronization to be achieved in finite time (i.e., {dead-beat} synchronization); ii) it exploits a {scalar} synchronizing signal; iii) it can be applied to a {wide} class of discrete-time chaotic (hyperchaotic) systems; iv) it includes, as a particular case, most of the synchronization types defined so far. An example is reported, which shows in detail that exact synchronization is effectively achieved in finite time, using a scalar synchronizing signal only, for any arbitrary scaling matrix.

关键词: chaos synchronization, full-state hybrid projective synchronization, observer-based synchronization, chaotic discrete-time systems, dead beat control, attractor scaling

Abstract: In this paper we present a new projective synchronization scheme, where two chaotic (hyperchaotic) discrete-time systems synchronize for any arbitrary scaling matrix. Specifically, each drive system state synchronizes with a linear combination of response system states. The proposed observer-based approach presents some useful features: i) it enables {exact} synchronization to be achieved in finite time (i.e., {dead-beat} synchronization); ii) it exploits a {scalar} synchronizing signal; iii) it can be applied to a {wide} class of discrete-time chaotic (hyperchaotic) systems; iv) it includes, as a particular case, most of the synchronization types defined so far. An example is reported, which shows in detail that exact synchronization is effectively achieved in finite time, using a scalar synchronizing signal only, for any arbitrary scaling matrix.

Key words: chaos synchronization, full-state hybrid projective synchronization, observer-based synchronization, chaotic discrete-time systems, dead beat control, attractor scaling

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Xt (Synchronization; coupled oscillators)

Giuseppe Grassi. Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal[J]. 中国物理B, 2012, 21(6): 60504-060504.

Giuseppe Grassi . Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal[J]. Chin. Phys. B, 2012, 21(6): 60504-060504.

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Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal

Arbitrary full-state hybrid projective synchronization for chaotic discrete-time systems via a scalar signal

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