A Method for Finding Optimal Parameter Values Using Bifurcation-Based Procedure

• 作者: Hiroyuki Kitajima Tetsuya Yoshinaga
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: BIFURCATION STABILITY DYNAMICAL System
• 年，卷（期）: 2014,（2）
• 页码范围: 37-43
• 页数: 7页
• 分类号: O1

摘要

In dynamical systems, the system suddenly becomes unstable due to parameter perturbation which corresponds to environmental changes or major incidents. To avoid such instabilities in engineering systems, tuning system parameters is very important. In this paper, we propose a method for obtaining optimal parameter values in a parameterized dynamical system. Here, the optimal value means the farthest point from the bifurcation curves in a bounded parameter plane. As illustrated examples, we show the results of continuous-time and discrete-time systems. Our algorithm can find the optimal parameter values in both systems.