Abstract
This paper presents a robust control and synchronization strategy for a fractional-order complex chaotic system with a hidden attractor. First, as a novel contribution, the topological conditions are established to obtain the imaginary part of the chaotic fractional-order system when the natural element is already known to meet the requirements for the hidden attractor’s domain of attraction. The fractional-order complex dynamic system is divided into a real and imaginary part to find robust control and synchronization laws with a robust Lyapunov control function with an appropriate fractional-order controller and synchronizer. Then, two numerical examples are provided to test the robust control and synchronization of the theoretical results to be validated numerically. This paper confirms that the two strategies provide a quick and accurate solution for synchronizing this kind of system, taking into account the hidden attractor.
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Acknowledgements
Special acknowledgement to Robotics and Internet-of-Things Lab (RIOTU), Prince Sultan University, Riyadh, Saudi Arabia. We would like to show our gratitude to Prince Sultan University, Riyadh, Saudi Arabia.
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Azar, A.T. et al. (2021). Robust Control and Synchronization of Fractional-Order Complex Chaotic Systems with Hidden Attractor. In: Kumar, S., Purohit, S.D., Hiranwal, S., Prasad, M. (eds) Proceedings of International Conference on Communication and Computational Technologies. Algorithms for Intelligent Systems. Springer, Singapore. https://doi.org/10.1007/978-981-16-3246-4_15
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DOI: https://doi.org/10.1007/978-981-16-3246-4_15
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