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Fixed-time observed synchronization of chaotic system with all state variables unavailable in some periods

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  • Luo, Runzi
  • Song, Zijun
  • Liu, Shuai

Abstract

This paper addresses the fixed-time observed synchronization of chaotic system. Considering the real situation, different from the research before, this paper assumes that all the state variables of the drive system are unavailable in some periods. Some new fixed-time stability theorems and high-precision estimations of the settling time are presented which improve and generalize the corresponding recent important results. By using the proposed stability theorems, some fixed-time convergence criteria are presented. A simulation analysis is given to show the effectiveness of the presented control strategy.

Suggested Citation

  • Luo, Runzi & Song, Zijun & Liu, Shuai, 2023. "Fixed-time observed synchronization of chaotic system with all state variables unavailable in some periods," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002813
    DOI: 10.1016/j.chaos.2023.113380
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    References listed on IDEAS

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    1. Shirkavand, Mehrdad & Pourgholi, Mahdi & Yazdizadeh, Alireza, 2022. "Robust global fixed-time synchronization of different dimensions fractional-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Tan, Zilong & liu, Yang & Sun, Jiayue & Zhang, Huaguang & Xie, Xiangpeng, 2022. "Chaos synchronization control for stochastic nonlinear systems of interior PMSMs based on fixed-time stability theorem," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    3. Su, Haipeng & Luo, Runzi & Fu, Jiaojiao & Huang, Meichun, 2022. "Fixed time control and synchronization of a class of uncertain chaotic systems with disturbances via passive control method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 474-493.
    4. Su, Haipeng & Luo, Runzi & Huang, Meichun & Fu, Jiaojiao, 2022. "Practical fixed time active control scheme for synchronization of a class of chaotic neural systems with external disturbances," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    5. Jahanshahi, Hadi & Yousefpour, Amin & Wei, Zhouchao & Alcaraz, Raúl & Bekiros, Stelios, 2019. "A financial hyperchaotic system with coexisting attractors: Dynamic investigation, entropy analysis, control and synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 66-77.
    6. Anguiano-Gijón, Carlos Alberto & Muñoz-Vázquez, Aldo Jonathan & Sánchez-Torres, Juan Diego & Romero-Galván, Gerardo & Martínez-Reyes, Fernando, 2019. "On predefined-time synchronisation of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 172-178.
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