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Finite-time resilient fault-tolerant investment policy scheme for chaotic nonlinear finance system

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  • Harshavarthini, S.
  • Sakthivel, R.
  • Ma, Yong-Ki
  • Muslim, M.

Abstract

The problem of unpredictable and irregular fluctuations in investment policy scheme for the chaotic nonlinear finance system with undesirable changes such as wrong economy policy, share loss and natural disaster which is described by the well-known nonlinear differential equation is concerned in this work. A resilient fault-tolerant guaranteed cost controller with delay is designed to tackle the fluctuations in investment policy scheme with minimum guaranteed cost bound and also to achieve finite-time boundedness. Specifically, a new delay-dependent sufficient constraints is derived with the aid of suitable Lyapunov–Krasovskii functional to obtain the required result with minimum disturbance attenuation level through extended passivity performance index. Based on the addressed algorithm, the required investment policy scheme is determined by resorting the obtained constraints into MATLAB LMI toolbox. At last, the theoretical results are validated by presenting numerical simulations.

Suggested Citation

  • Harshavarthini, S. & Sakthivel, R. & Ma, Yong-Ki & Muslim, M., 2020. "Finite-time resilient fault-tolerant investment policy scheme for chaotic nonlinear finance system," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
  • Handle: RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919305247
    DOI: 10.1016/j.chaos.2019.109567
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    1. Cao, Yang & Samidurai, R. & Sriraman, R., 2019. "Robust passivity analysis for uncertain neural networks with leakage delay and additive time-varying delays by using general activation function," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 57-77.
    2. Cao, Yang, 2019. "Bifurcations in an Internet congestion control system with distributed delay," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 54-63.
    3. Wang, Guoliang & Li, Zhiqiang & Zhang, Qingling & Yang, Chunyu, 2017. "Robust finite-time stability and stabilization of uncertain Markovian jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 377-393.
    4. Zhang, Dian & Cheng, Jun & Cao, Jinde & Zhang, Dan, 2019. "Finite-time synchronization control for semi-Markov jump neural networks with mode-dependent stochastic parametric uncertainties," Applied Mathematics and Computation, Elsevier, vol. 344, pages 230-242.
    5. Zhou, Jianping & Park, Ju H. & Ma, Qian, 2016. "Non-fragile observer-based H∞ control for stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 69-83.
    6. Park, Ju H. & Choi, K., 2005. "Guaranteed cost control of uncertain nonlinear neutral systems via memory state feedback," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 183-190.
    7. Wang, Zhen & Xie, Yingkang & Lu, Junwei & Li, Yuxia, 2019. "Stability and bifurcation of a delayed generalized fractional-order prey–predator model with interspecific competition," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 360-369.
    8. Hao Liu & Peng Shi & Hamid Reza Karimi & Mohammed Chadli, 2016. "Finite-time stability and stabilisation for a class of nonlinear systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1433-1444, April.
    9. Samidurai, R. & Sriraman, R., 2019. "Robust dissipativity analysis for uncertain neural networks with additive time-varying delays and general activation functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 201-216.
    10. Chen, Jian & Lin, Chong & Chen, Bing & Wang, Qing-Guo, 2017. "Mixed H∞ and passive control for singular systems with time delay via static output feedback," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 244-253.
    11. 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.
    12. Huang, Chengdai & Cao, Jinde, 2017. "Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 262-275.
    13. Chen, Wei-Ching, 2008. "Dynamics and control of a financial system with time-delayed feedbacks," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1198-1207.
    14. Mobayen, Saleh & Ma, Jun, 2018. "Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 46-54.
    15. Qunxian Zheng & Youzhu Ling & Lisheng Wei & Hongbin Zhang, 2018. "Mixed H∞ and passive control for linear switched systems via hybrid control approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(4), pages 818-832, March.
    16. Dadras, Sara & Momeni, Hamid Reza, 2010. "Control of a fractional-order economical system via sliding mode," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(12), pages 2434-2442.
    17. Wenping Xue & Kangji Li & Guohai Liu, 2016. "DDI-based finite-time stability analysis for nonlinear switched systems with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 3027-3035, September.
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    Cited by:

    1. Sweetha, S. & Sakthivel, R. & Harshavarthini, S., 2021. "Finite-time synchronization of nonlinear fractional chaotic systems with stochastic actuator faults," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Zhou, Shuang-Shuang & Jahanshahi, Hadi & Din, Qamar & Bekiros, Stelios & Alcaraz, Raúl & Alassafi, Madini O. & Alsaadi, Fawaz E. & Chu, Yu-Ming, 2021. "Discrete-time macroeconomic system: Bifurcation analysis and synchronization using fuzzy-based activation feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Sakthivel, Rathinasamy & Suveetha, V.T. & Nithya, Venkatesh & Sakthivel, Ramalingam, 2020. "Finite-time fault detection filter design for complex systems with multiple stochastic communication and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).

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