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A new perspective of the invariant and mapping discrete-time models for a continuous-time system is presented. More specifically, these models are re-classified as the direct and indirect models and are interpreted in terms of the system structure and the hold device. This concept provides for a better understanding of various discrete-time models. In addition, by extending this concept of direct...
An equivalence class, called the T-equivalence class in this study, is introduced for discrete time models of a continuous time system such that any member of this class has the same input-output characteristics when the discrete time interval approaches zero. This concept provides a systematic way of viewing the various discrete time models including those already proposed in the literature.
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