Uncertainty analysis of complex dynamical systems

被引：0

作者：

Mezic, I ^{[1
]}

Runolfsson, T ^{[1
]}

机构：

[1] Univ Calif Santa Barbara, Dept Mech & Environm Engn, Santa Barbara, CA 93105 USA

来源：

PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2004年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A unified framework for studying parametric and initial condition uncertainty in dynamical systems is developed. The notion of input measure of an observable is defined and its propagation to output measure of the observable is studied by means of transfer operators. Uncertainty of these measures is defined in terms of their cumulative probability distributions. The developed formalism is illustrated through an analysis of the effect of pitchfork bifurcation on uncertainty. General results on uncertainty for dynamical systems on an infinite time horizon are derived.

引用

页码：2659 / 2664

页数：6

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