论文标题
具有平衡超线化的多项式系统的规范形式
Canonical forms for polynomial systems with balanced super-linearizations
论文作者
论文摘要
如果系统将有限维嵌入作为线性系统，则可以是Koopman超线定位。超线性化用于利用从线性系统理论到设计控制器或非线性系统的观察者的方法。如果隐藏的观测值的程度不超过可见观测值的，我们将其称为超线性化。我们表明，承认这种超线性化的系统可以通过变量的线性变化以简单的规范形式放置。
A system is Koopman super-linearizable if it admits a finite-dimensional embedding as a linear system. Super-linearization is used to leverage methods from linear systems theory to design controllers or observers for nonlinear systems. We call a super-linearization balanced if the degrees of the hidden observables do not exceed the ones of the visible observables. We show that systems admitting such super-linearization can be put in a simple canonical form via a linear change of variables.
