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Mixed ℋ∞ and Passivity Analysis of Delayed Fractional-Order Complex Dynamical Networks with Hybrid Coupling

Author

Listed:
  • Hamed Alsulami
  • M. Syed Ali
  • M. Hymavathi
  • Tareq Saeed
  • Bashir Ahmad
  • Ahmed Alsaedi
  • Asier Ibeas

Abstract

In this article, global asymptotic stability analysis, and mixed ℋ∞ and passive control for a class of control fractional-order systems is investigated. Based on the fractional-order Lyapunov stability theorem and some properties of fractional calculus, we propose sufficient conditions to ensure the mixed ℋ∞ and passivity performance. More relaxed conditions by employing the new type of augmented matrices by using Kronecker product terms can be handled, which can be introduced. The derived criteria are expressed in terms of linear matrix inequalities that which can be checked numerically using toolbox MATLAB. Finally, two numerical examples are provided to demonstrate the correctness of the proposed results.

Suggested Citation

  • Hamed Alsulami & M. Syed Ali & M. Hymavathi & Tareq Saeed & Bashir Ahmad & Ahmed Alsaedi & Asier Ibeas, 2022. "Mixed ℋ∞ and Passivity Analysis of Delayed Fractional-Order Complex Dynamical Networks with Hybrid Coupling," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-15, October.
    • Handle: RePEc:hin:jnlmpe:6327922
    DOI: 10.1155/2022/6327922
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