Finite-time synchronization of hyperchaotic systems based on feedback passivation

Teerawat Sangpet and Suwat Kuntanapreeda

Chaos, Solitons & Fractals, 2020, vol. 132, issue C

Abstract: This paper proposes a scheme to realize finite-time synchronization of hyperchaotic systems using a feedback passivation technique. Although the technique is widely known, its utilization for finite-time control problems is still considered to be new since finite-time passivity has been just recently introduced. The proposed scheme consists of few design steps. First, a feedback is designed such that it yields finite-time stability for the zero-dynamics of the synchronization errors. Then, the synchronization errors is transformed into a finite-time passive system by an additional feedback. Consequently, the finite-time convergence of the synchronization errors is obtained. The hyperchaotic Lü system and a 5D Lorenz-like system are used as examples to demonstrate the effectiveness of the scheme.

Keywords: Chaos synchronization; Feedback passivity; Finite-time passive; Finite-time stability; Hyperchaotic systems (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077920300047

DOI: 10.1016/j.chaos.2020.109605

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