17
Continued
q
where
s
i
has
multiplicity
s
i
, i = 1,2,…,N
and
s
1
+s
2
+…+s
N
= n
.
•
Then the truncated system
•
•
is balanced and asymptotically stable. Furthermore
•
||
G
(s)-
G
r
(s)||
¥
£
2(
s
r+1
+
s
r+2
+…+
s
N
).
•
||
G
(s)-
G
(
¥
)||
¥
£
2(
s
1
+
s
2
+…+
s
N
).
•
||
G
(s)-
G
N-1
(s)||
¥
=2
s
N
.