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Fixed-time terminal sliding mode control with arbitrary convergence time for a class of chaotic systems applied to a nonlinear finance model

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Abstract

There is no doubt that the world is experiencing continuous globalization. Thus, we need to understand the global financial market as a network of interconnected systems and investigate the issue of synchronization among the various nonlinear financial systems (NFSs). This paper studies the synchronization of NFS by considering market confidence. To achieve the defined objective, a new prescribed performance sliding mode control (PPC-SMC) is designed with arbitrary convergence time. In addition, sufficient conditions for Lyapunov stability are provided. The convergence time is considered one of the critical and challenging topics in the control of nonlinear systems such as NFS. In this work, a class of nonlinear chaotic systems is controlled concerning arbitrary convergence time besides applying to a four-dimensional nonlinear financial system with the decisive impacts of the market confidence factor. Finally, using some numerical and comparative simulations, the efficiency of the proposed approach is validated.

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Data will be available on reasonable request.

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Authors and Affiliations

  1. Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran

    Mostafa Asadollahi

  2. Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran

    Naser Padar

  3. Department of Electrical Engineering, Shahid Beheshti University, Tehran, Iran

    Amin Fathollahzadeh

  4. Nantes Université, Ecole Centrale de Nantes, Nantes, France

    Mohammad Javad Mirzaei & Ehsan Aslmostafa

Authors
  1. Mostafa Asadollahi
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  2. Naser Padar
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  3. Amin Fathollahzadeh
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  4. Mohammad Javad Mirzaei
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  5. Ehsan Aslmostafa
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Correspondence to Mostafa Asadollahi.

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Asadollahi, M., Padar, N., Fathollahzadeh, A. et al. Fixed-time terminal sliding mode control with arbitrary convergence time for a class of chaotic systems applied to a nonlinear finance model. Int. J. Dynam. Control 12, 1874–1887 (2024). https://doi.org/10.1007/s40435-023-01319-x

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  • DOI: https://doi.org/10.1007/s40435-023-01319-x

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