Closeness of Solutions for Singularly Perturbed Systems via Averaging
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC)(2018)
摘要
This paper studies the behavior of singularly perturbed nonlinear differential equations with boundary-layer solutions that do not necessarily converge to an equilibrium. Using the average of the fast variable and assuming the boundary layer solutions converge to a bounded set, results on the closeness of solutions of the singularly perturbed system to the solutions of the reduced average and boundary layer systems over a finite time interval are presented. The closeness of solutions error is shown to be of order O (√{ε}), where ε is the perturbation parameter.
更多查看译文
关键词
Singular perturbation,Averaging,Closeness of solutions
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要