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Predefined-time chaos synchronization of memristor chaotic systems by using simplified control inputs

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  • Wang, Yang
  • Li, Huanyun
  • Guan, Yan
  • Chen, Mingshu

Abstract

A predefined-time chaos synchronization scheme of memristor chaotic systems with simplified control inputs is investigated. Firstly, a predefined-time synchronization (PTS) scheme with full control inputs (four control inputs) is developed. Secondly, a PTS scheme with simplified control inputs (two control) inputs is developed. Thirdly, a nonsingular method is proposed to eliminate the singular problem existed in the PTS scheme. Compared with existing finite-time synchronization (FTS), the proposed scheme exhibits the two attractive features: i) unlike the convergence time of FTS schemes is unclear if the initial system conditions are uncertain, the proposed PTS scheme can achieve a convergence time which is bounded by a predefined constant; ii) the proposed PTS scheme only needs two simplified control inputs rather than four control inputs of existing FTS schemes. Finally, the control performance of the proposed PTS is illustrated by comparing with conventional FTS scheme.

Suggested Citation

  • Wang, Yang & Li, Huanyun & Guan, Yan & Chen, Mingshu, 2022. "Predefined-time chaos synchronization of memristor chaotic systems by using simplified control inputs," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922004921
    DOI: 10.1016/j.chaos.2022.112282
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    2. Haoyu Li & Leimin Wang & Wenwen Shen, 2023. "A Simplified Controller Design for Fixed/Preassigned-Time Synchronization of Stochastic Discontinuous Neural Networks," Mathematics, MDPI, vol. 11(21), pages 1-15, October.
    3. Wang, Shaofu, 2023. "A novel memristive chaotic system and its adaptive sliding mode synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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