Abstract

The article is devoted to study of controllability properties of a linear singularly perturbed discrete system with a small step. It is used the Gram operator, which transforms an infinite-dimensional space into a finite-dimensional one, and based on the separation of state variables of a linear discrete singularly perturbed system with a small step. The controllability criteria for this discrete system is derived.

中文翻译：

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小步长线性奇异摄动离散系统可控性判据的推导

 抽象的

本文致力于研究小步长线性奇异摄动离散系统的可控性。它使用 Gram 算子，将无限维空间变换为有限维空间，并基于小步长的线性离散奇异摄动系统的状态变量分离。推导了该离散系统的可控性准则。