Abstract

This paper investigates the problem of exponential synchronization for a class of drive-response delayed neural networks, where two different cases are fully considered, respectively, that is, drive system involving unmeasurable states and response system involving unmeasurable states. For each case, a corresponding impulsive observer is designed to reconstruct (or estimate) the states of the neural network which involves unmeasurable states. And then based on the observations and measurements, we propose a novel impulsive observer-based impulsive control (IOBIC) scheme for response system to achieve the synchronization. With the help of comparison principle and average impulsive interval approach, some sufficient conditions are presented. Moreover, the impulsive observer and impulsive controller gains can be designed by solving the derived linear matrix inequalities (LMIs). Different from the classical results, our impulsive synchronization conditions can be applied to the problem of synchronization of neural networks involving unmeasurable states. The effectiveness of the proposed methods is illustrated by two examples borrowed from the classical literature.

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