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Stabilization of the GLV System with Asymptotically Unbounded External Disturbances

Author

Listed:
  • Zhi Liu

    (School of Information Engineering, Shandong Management University, Jinan 250357, China)

  • Rongwei Guo

    (School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China)

Abstract

This paper investigates the stabilization of the generalized Lotka–Volterra (GLV) biological model, which is affected by the asymptotically unbounded external disturbances, and presents some new results. Firstly, two stabilizers are proposed for the nominal GLV system. Then, some appropriate filters are designed and applied to asymptotically track the corresponding disturbances. Based on these filters, two disturbance-estimator (DE)-based controllers are presented to cancel the corresponding disturbances. Compared to the existing results, the advantage of this paper is in handling the asymptotically unbounded external disturbances effectively. Finally, the correctness and effectiveness of the proposed results are verified by computer simulation.

Suggested Citation

  • Zhi Liu & Rongwei Guo, 2023. "Stabilization of the GLV System with Asymptotically Unbounded External Disturbances," Mathematics, MDPI, vol. 11(21), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:21:p:4496-:d:1271364
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    References listed on IDEAS

    as
    1. Liang, Wei & Lv, Xiaolin, 2022. "Li-Yorke chaos in a class of controlled delay difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Pastor, Juan Manuel & Stucchi, Luciano & Galeano, Javier, 2021. "Study of a factored general logistic model of population dynamics with inter- and intraspecific interactions," Ecological Modelling, Elsevier, vol. 444(C).
    3. Naik, Manisha Krishna & Baishya, Chandrali & Veeresha, P., 2023. "A chaos control strategy for the fractional 3D Lotka–Volterra like attractor," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 1-22.
    4. Cheng, Haoxin & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2023. "A deep reinforcement learning method to control chaos synchronization between two identical chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    Full references (including those not matched with items on IDEAS)

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