TITLE:
A Method for Finding Optimal Parameter Values Using Bifurcation-Based Procedure
AUTHORS:
Hiroyuki Kitajima, Tetsuya Yoshinaga
KEYWORDS:
Bifurcation, Stability, Dynamical System
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.3 No.2,
June
17,
2014
ABSTRACT: 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.