eat ix (t) ii
4 me
n1x(t)ii < m i
ato mL(t-to)
(mL-a)(t-t o) xo lie0
If L is sufficiently small so that (mL-a) < 0
then we have the desired result.
Consider again the linearization of NCT given by (4-3). be written as
kt) F'xAt + F* t- F0
RA(t) A F~A(t) +FA(t) - A]XA(t)
(4-15) (4-16)
(4-17)
This can
(4-18)
The matrix
is defined as follows
where
Fo : af(x,u,w)
ax
x=0 u 0 w= 0
FA:=
F 0 G°K1
-BH
-G 0K2]
(4-19)
GO : = f(xuw)
au
x 0 u 0 w= 0
(4-20)