Synchronization of neural networks involving unmeasurable states and impulsive disturbances by observer and feedback control

In this article, the problem of synchronization for neural networks is studied by way of the feedback control based on the state estimation even thought the existence of delayed impulsive disturbances which produce negative impacts on the control. Meanwhile, two cases are fully addressed, where drive neural networks and response neural networks involve unmeasurable states respectively. The key matters, which we settle, are the construction of the observer and the design of feedback control based on the state estimation, in the presence of delayed impulsive disturbances and unmeasurable states. By utilizing the linear matrix inequality (LMI) and the delayed impulsive differential inequality, certain adequate qualifications are gotten to ensure synchronization. More-over, note that our proposed conditions not only drop the limitation of impulse intervals and impulse sizes, but also realize the coexistence of delayed impulses and macroscale impulses. Finally, expository examples and their numerical modeling are appeared to prove the availability of main results. & COPY; 2023 Elsevier B.V. All rights reserved.