Finite-time non-fragile passivity control for neural networks with time-varying delay.

In this paper, the problem of finite-time non-fragile passivity control for neural networks with time-varying delay is studied. We construct a new Lyapunov–Krasovskii function with triple and four integral terms and then utilizing Wirtinger-type inequality technique. The sufficient conditions for finite-time boundedness and finite-time passivity are derived. Furthermore, a non-fragile state feedback controller is designed such that the closed-loop system is finite-time passive. Moreover, the proposed sufficient conditions can be simplified into the form of linear matrix inequalities (LMIs) using Matlab LMI toolbox. Finally, three numerical examples are presented to illustrate the effectiveness of the proposed criteria.