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Extended feedback and simulation strategies for a delayed fractional-order control system

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  • Huang, Chengdai
  • Liu, Heng
  • Chen, Xiaoping
  • Cao, Jinde
  • Alsaedi, Ahmed

Abstract

This paper showcases the bifurcation control of a delayed fractional predator–prey system via ingenious extended delayed feedback methodology. The gestation delay acts as a bifurcation parameter to decide the bifurcation point of the controlled system. Then it reflects that bifurcation occurs upon eliminating the devised controller. Besides, the impact of fractional orders, feedback gain and extended delay on the bifurcation point is exquisitely explored. It hints that bifurcation emergence can be efficaciously handicapped by modulating fractional order, feedback gain and extended feedback delay. The efficiency of the developed control scheme is neatly checked by simulations results.

Suggested Citation

  • Huang, Chengdai & Liu, Heng & Chen, Xiaoping & Cao, Jinde & Alsaedi, Ahmed, 2020. "Extended feedback and simulation strategies for a delayed fractional-order control system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119317625
    DOI: 10.1016/j.physa.2019.123127
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    References listed on IDEAS

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    1. Huang, Chengdai & Cao, Jinde & Xiao, Min & Alsaedi, Ahmed & Alsaadi, Fuad E., 2017. "Controlling bifurcation in a delayed fractional predator–prey system with incommensurate orders," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 293-310.
    2. Xie, Yingkang & Lu, Junwei & Wang, Zhen, 2019. "Stability analysis of a fractional-order diffused prey–predator model with prey refuges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    3. Nosrati, Komeil & Shafiee, Masoud, 2017. "Dynamic analysis of fractional-order singular Holling type-II predator–prey system," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 159-179.
    4. Li, Hong-Li & Cao, Jinde & Jiang, Haijun & Alsaedi, Ahmed, 2019. "Finite-time synchronization and parameter identification of uncertain fractional-order complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
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    6. Li, Li & Wang, Zhen & Li, Yuxia & Shen, Hao & Lu, Junwei, 2018. "Hopf bifurcation analysis of a complex-valued neural network model with discrete and distributed delays," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 152-169.
    7. Jiao, Shiyu & Shen, Hao & Wei, Yunliang & Huang, Xia & Wang, Zhen, 2018. "Further results on dissipativity and stability analysis of Markov jump generalized neural networks with time-varying interval delays," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 338-350.
    8. Huang, Chengdai & Li, Huan & Cao, Jinde, 2019. "A novel strategy of bifurcation control for a delayed fractional predator–prey model," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 808-838.
    9. Huang, Chengdai & Tang, Jingyong & Niu, Yantao & Cao, Jinde, 2019. "Enhanced bifurcation results for a delayed fractional neural network with heterogeneous orders," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    10. Li, Huan & Huang, Chengdai & Li, Tongxing, 2019. "Dynamic complexity of a fractional-order predator–prey system with double delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
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