BY A . MEGRETSKI 6 Models of Dynamical Systems
نویسنده
چکیده
A DT signal is a function u : Z+ 7→ R, where Z+ = {0, 1, 2, . . . } is the set of all nonnegative integers. In other words, an n-dimensional DT signal is a semi-infinite sequence u = (u(0), u(1), u(2), . . . ) of vectors from R. As a shortcut notation, we will use ` (or simply ` when n = 1) for the set of all n-dimensional DT signals. In this definition of DT signals, the set Z+ acts as the set of time instances of interest. We are using one sided signals instead of two-sided ones (which would be defined as functions u : Z 7→ R, where Z = {0,±1,±2, . . . } is the set of all integers) to emphasize the causal nature of systems of interest: all”action” is assumed to begin at time t = 0, and we are only interested in studying what can happen after that.
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