On Koopman Operator Framework for Semi-explicit Differential-Algebraic Equations <ce:cross-ref refid='fn1'> <ce:sup loc='post'>?</ce:sup> </ce:cross-ref>

Yoshihiko Susuki

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On Koopman Operator Framework for Semi-explicit Differential-Algebraic Equations ?

机译：关于半显式差分代数方程的Koopman操作员？

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The so-called Koopman operator framework has attracted a lot of interest in dynamical systems theory and control theory. In this note we extend the framework to systems described by nonlinear semi-explicit Differential-Algebraic Equations (DAEs). A complete spectral characterization of DAE systems with asymptotically stable equilibrium points is presented. A difficulty of the Koopman operator framework is also pointed out for a planar DAE system with forward impasse point.

机译：所谓的Koopman操作员框架引起了对动态系统理论和控制理论的大量兴趣。在本说明中，我们将框架扩展到非线性半显式差分 - 代数（Daes）描述的系统。介绍了具有渐近稳定平衡点的DAE系统的完整光谱表征。 Koopman操作员框架的难度也指出了一个前进僵模点的平面DAE系统。

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《IFAC PapersOnLine》 |2021年第14期|共5页
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Yoshihiko Susuki;
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Differential-algebraic equationsKoopman operatorSpectrumImpasse point;

机译：差分代数areationskoopman运算符adcartumimpasse point;

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On Koopman Operator Framework for Semi-explicit Differential-Algebraic Equations ?

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