Canonical forms for polynomial systems with balanced super-linearizations
Canonical forms for polynomial systems with balanced super-linearizations
复制标题
具有平衡超线性化的多项式系统的规范形式
DOI：
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
M. Belabbas
中科院分区：
文献类型：
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作者：
M. Belabbas
一个系统是Koopman超线性化的，如果它允许有限维嵌入作为线性系统。超线性化用于利用线性系统理论的方法来设计非线性系统的控制器或观测器。如果隐观测量的阶数不超过可见观测量的阶数，则称超线性化为平衡的。我们表明，系统承认这样的超线性化可以放在一个简单的标准形式通过变量的线性变化。
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.