Affiliation:
1. College of Science National University of Defense Technology Changsha China
2. School of Mathematics Jilin University Changchun China
3. State Key Laboratory of Automotive Simulation and Control Jilin University Changchun China
Abstract
In this paper, we apply the singular renormalization group (RG) method to study the initial value problem of slow‐fast system. Based on some basic assumptions, we construct a uniformly valid approximate solution by an explicit renormalization group procedure, and then give a rigorous proof of the error estimate up to second order. Moreover, a classical example in optimal control is presented to illustrate the effectiveness. Our results extend the applications of RG method to some extent and are consistent with previous results as well.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics