文献类型：期刊文献

英文题名：First spiking dynamics of stochastic neuronal model with optimal control

作者：Wu, Yongjun[1,2]; Peng, Jianhua[2]; Luo, Ming[2]

机构：[1] Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200240, China; [2] School of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, China

年份：2009

卷号：5506 LNCS

期号：PART 1

起止页码：129

外文期刊名：Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

收录：EI(收录号：20093912331880)

语种：英文

外文关键词：Intelligent systems - Stochastic systems - Dynamic programming - Control theory - Differential equations - Disease control - Neural networks - Stochastic models - Stochastic control systems - White noise - Monte Carlo methods

摘要：First-spiking dynamics of optimally controlled neuron under stimulation of colored noise is investigated. The stochastic averaging principle is utilized and the model equation is approximated by diffusion process and depicted by It? stochastic differential equation. The control problems for maximizing the resting probability and maximizing the time to first spike are constructed and the dynamical programming equations associated with the corresponding optimization problem are established. The optimal control law is determined. The corresponding backward Kolmogorov equation and Pontryagin equation are established and solved to yield the resting probability and the time to first spike. The analytical results are verified by Monte Carlo simulation. It has shown that the proposed control strategy can suppress the overactive neuronal firing activity and possesses potential application for some neural diseases treatment. ? 2009 Springer Berlin Heidelberg.