Nonlinear Control Sy.. - Free

6.2. INPUT-OUTPUT STABILITY 161
(a)
(b)
(c)
(d)
(e)
(f )
y(t) = Hu(t)
Hu(t)]T
[HuT(t)]
[HUT(t)1T
T
Figure 6.3: Causal systems: (a) input u(t); (b) the response y(t) = Hu(t); (c) truncation
of the response y(t). Notice that this figure corresponds to the left-hand side of equation
(6.8); (d) truncation of the function u(t); (e) response of the system when the input is the
truncated input uT(t); (f) truncation of the system response in part (e). Notice that this
figure corresponds to the right-hand side of equation (6.8).
t
t
t
t
t
t