Finite-time \(H_\infty\) control of uncertain fractional-order neural networks.

*(English)*Zbl 07195793Summary: The problem of finite-time \(H_\infty\) control for uncertain fractional-order neural networks is investigated in this paper. Using finite-time stability theory and the Lyapunov-like function method, we first derive a new condition for problem of finite-time stabilization of the considered fractional-order neural networks via linear matrix inequalities (LMIs). Then a new sufficient stabilization condition is proposed to ensure that the resulting closed-loop system is not only finite-time bounded but also satisfies finite-time \(H_\infty\) performance. Three examples with simulations have been given to demonstrate the validity and correctness of the proposed methods.

##### MSC:

93D40 | Finite-time stability |

93B36 | \(H^\infty\)-control |

93C41 | Control/observation systems with incomplete information |

93B70 | Networked control |

##### Keywords:

fractional order neural networks; finite-time boundedness; \(H_\infty\) control problem; linear matrix inequalities
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\textit{M. V. Thuan} et al., Comput. Appl. Math. 39, No. 2, Paper No. 59, 19 p. (2020; Zbl 07195793)

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