# Adaptive observer and control of spatiotemporal delayed neural fields

arXiv: https://arxiv.org/abs/2305.17061 · HTML: https://mlsanity.com/paper/2305.17061/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 26 May 2023.

## Built on by (most cited first, 1 of 1)

- [A Unified Representation of Neural Networks Architectures](https://mlsanity.com/paper/2512.17593/) (2025)

## Abstract (arXiv)

An adaptive observer is proposed to estimate the synaptic distribution between neurons asymptotically from the measurement of a part of the neuronal activity and a delayed neural field evolution model. The convergence of the observer is proved under a persistency of excitation condition. Then, the observer is used to derive a feedback law ensuring asymptotic stabilization of the neural fields. Finally, the feedback law is modified to ensure simultaneously practical stabilization of the neural fields and asymptotic convergence of the observer under additional restrictions on the system. Numerical simulations confirm the relevance of the approach.