Finite-time $$H_{\infty }$$ control of uncertain fractional-order neural networks

Abstract

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.