轨迹附近非线性DAEs可观测性的计算线性化原理

W. J. Terrell
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引用次数: 3

摘要

建立了非线性隐式微分系统在参考轨迹附近的局部可观测性。时变线性化沿轨迹的可观测性意味着整个系统在轨迹邻域内的局部可观测性。用符号线性代数和数值线性代数对系统的局部可观察性条件进行了验证,并与隐式系统的可观察性研究结果建立了联系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A computational linearization principle for observability of nonlinear DAEs near a trajectory
We establish a result on local observability of nonlinear implicit differential systems near a reference trajectory. Observability of the time varying linearization along the trajectory implies local observability for the full system in a neighborhood of the trajectory. The conditions for local observability are verifiable by symbolic and numerical linear algebra, and provide a link with existing results on observability for implicit systems.
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