PBH tests for nonlinear systems
PBH tests for nonlinear systems
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DOI：
10.1016/j.automatica.2017.02.027
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发表时间：
2017-06
期刊：
影响因子：
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通讯作者：
Y. Kawano;T. Ohtsuka
中科院分区：
文献类型：
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作者：
Y. Kawano;T. Ohtsuka
近年来，引入了非线性特征值和特征向量的概念。本文建立了非线性特征值与非线性可达性/可观测性之间的联系。特别地，我们将Popov-Belevitch-Hautus （PBH）可控性/可观察性检验推广到非线性可及性/可观察性。我们的PBH可达性/可观察性检验等价于搁浅假设下的可达性/可观察性等级条件。
Recently, concepts of nonlinear eigenvalues and eigenvectors are introduced. In this paper, we establish connections between the nonlinear eigenvalues and nonlinear accessibility/observability. In particular, we provide a generalization of Popov–Belevitch–Hautus (PBH) controllability/observability test to nonlinear accessibility/observability. Our PBH accessibility/observability test is equivalent to the accessibility/observability rank condition under a stranded assumption.