What is the relationship between the discrete time and continuous time variables?

1. What is the relation between continuous and discrete time system?
2. What is the relationship between continuous-time signals and discrete time signals?
3. What is the difference between discrete and continuous-time?
4. What is the difference between continuous and discrete time control system?

What is the relation between continuous and discrete time system?

Continuous and discrete signals can be related through the sampling operation in the sense that a discrete signal can be obtained by performing sampling on a continuous- time signal with the uniform sampling period as presented in Figure 1.3. Since is a given quantity, we will use in order to simplify notation.

What is the relationship between continuous-time signals and discrete time signals?

A continuous-time signal has values for all points in time in some (possibly infinite) interval. A discrete time signal has values for only discrete points in time. Signals can also be a function of space (images) or of space and time (video), and may be continuous or discrete in each dimension.

What is the difference between discrete and continuous-time?

A primary difference between discrete-time and continuous-time models is that the latter take into account the exact time interval between measurements while the former do not—discrete-time models assume equally spaced time-intervals.

What is the difference between continuous and discrete time control system?

A discrete system is one in which the state variable(s) change only at a discrete set of points in time. E.g. customers arrive at 3:15, 3:23, 4:01, etc. A continuous system is one in which the state variable(s) change continuously over time.