an:07195793
Zbl 07195793
Thuan, Mai Viet; Sau, Nguyen Huu; Huyen, Nguyen Thi Thanh
Finite-time \(H_\infty\) control of uncertain fractional-order neural networks
EN
Comput. Appl. Math. 39, No. 2, Paper No. 59, 19 p. (2020).
00448109
2020
j
93D40 93B36 93C41 93B70
fractional order neural networks; finite-time boundedness; \(H_\infty\) control problem; linear matrix inequalities
Summary: 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.