 Time-synchronized predefined-time synchronization between two non-identical chaotic systemsShilalipi Sahoo, Rahash Nathasarma and Binoy Krishna Roy Chaos, Solitons & Fractals, 2024, vol. 181, issue C Abstract: A new technique is proposed in this paper to synchronize chaotic systems. A time-synchronized predefined-time sliding mode control is designed such that the error dynamics between the drive and response systems converge to the origin simultaneously and within the predefined time. To realize the proposed notion of stability, a new sliding surface is introduced, and control laws are defined. The stability of the error dynamics and sliding surfaces is proved in the sense of Lyapunov by considering the effect of both smooth and non-smooth disturbances. Subsequently, two recently developed chaotic systems are successfully synchronized using the designed controller. A multi-wing chaotic system and a two-wing chaotic system are, respectively, taken as the drive and the response systems, and there is the coexistence of attractors in both systems. Further, the efficacy of the controller is validated using MATLAB simulations. Keywords: Time-synchronized; Predefined-time; Chaotic system; Synchronization; Sliding mode control (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924002145 DOI: 10.1016/j.chaos.2024.114662 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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