Small Gain Theorem
q
q
q
q
q
q
Small Gain Theorem:
Suppose
M
Î
(
RH
¥
)
pxq
. Then the system is
well-posed and internally stable for all
D
Î
RH
¥
with
•
(a) ||
D
||
¥
£
1/
g
if and only if ||
M
||
¥
<
g
;
•
(b) ||
D
||
¥
<1/
g
if and only if ||
M
||
¥
£
g
.