论文标题
Hilbert-Schmidt操作员的在线估计以及对神经领域内核重建的应用
Online estimation of Hilbert-Schmidt operators and application to kernel reconstruction of neural fields
论文作者
论文摘要
自适应观察者设计用于在线估算Hilbert-Schmidt操作员，从该州的在线测量中，用于某些类别的非线性无限二维动力学系统。在激发假设的可检测性和持久性下，确保收敛性。所考虑的系统类别是由用于神经场的内核重建的应用，该系统通常用于模拟神经元种群的时空活性。数值模拟证实了该方法的相关性。
An adaptive observer is designed for online estimation of Hilbert-Schmidt operators from online measurement of the state for some class of nonlinear infinite-dimensional dynamical systems. Convergence is ensured under detectability and persistency of excitation assumptions. The class of systems considered is motivated by an application to kernel reconstruction of neural fields, commonly used to model spatiotemporal activity of neuronal populations. Numerical simulations confirm the relevance of the approach.
