An operator-theoretic viewpoint to non-smooth dynamical systems: Koopman analysis of a hybrid pendulum

被引：0

作者：

Govindarajan, Nithin ^{[1
]}

Arbabi, Hassan ^{[1
]}

van Blargian, Louis ^{[1
]}

Matchen, Timothy ^{[1
]}

Tegling, Emma ^{[2
]}

Mezic, Igor ^{[3
]}

机构：

[1] Univ Calif Santa Barbara, Mech Engn, Santa Barbara, CA 93106 USA

[2] KTH Royal Inst Technol, Sch Elect Engn, SE-10044 Stockholm, Sweden

[3] Univ Calif Santa Barbara, Fac Mech Engn, Santa Barbara, CA 93106 USA

来源：

2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC) | 2016年

关键词：

MODEL-REDUCTION;

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：

We apply an operator-theoretic viewpoint to a class of non-smooth dynamical systems that are exposed to event-triggered state resets. The considered benchmark problem is that of a pendulum which receives a downward kick at certain fixed angles. The pendulum is modeled as a hybrid automaton and is analyzed from both a geometric perspective and the formalism of Koopman operator theory. A connection is drawn between these two interpretations of a dynamical system by establishing a link between the spectral properties of the Koopman operator and the geometric properties in the state space.

引用

页码：6477 / 6484

页数：8

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