Analysis and Design of Cyber-Physical Systems 13
where T
∗min
N
and T
∗max
N
are constants satisfying
T
∗min
N
, T
∗max
N
∈[0, ∞]
and
T
∗min
N
≤ T
∗max
N
and i
∗
is the number of transmission events, which might be finite or infinite. The constant T
∗min
N
determines the minimum possible time in between transmissions, while the constant T
∗max
N
defines
the maximum amount of time elapsed between transmissions. In this way, a communication channel
that allows transmission events at a high rate would have T
∗min
N
small (zero for infinitely fast trans-
missions), while one with slow data rate would have T
∗min
N
large. The constant T
∗max
N
determines how
often transmissions may take place. Note that the constants T
∗min
N
and T
∗max
N
can be generalized to
functions so as to change according ...