Improved Results on H∞ State Estimation of Static Neural Networks with Time Delay

Abstract EN

This paper studies the problem of H∞ state estimation for a class of delayed static neural networks.

The purpose of the problem is to design a delay-dependent state estimator such that the dynamics of the error system is globally exponentially stable and a prescribed H∞ performance is guaranteed.

Some improved delay-dependent conditions are established by constructing augmented Lyapunov-Krasovskii functionals (LKFs).

The desired estimator gain matrix can be characterized in terms of the solution to LMIs (linear matrix inequalities).

Numerical examples are provided to illustrate the effectiveness of the proposed method compared with some existing results.