具变时滞细胞神经网络的指数稳定性和正周期解.pdf
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212 () Vol.21 No.2
20036 JOURNAL OF GUANGXI NORMAL UNIVERSITY June2003
, ,
( , 410082)
: Lyapunov , ,
.
: ; ;
: O175.7:A : 1001 6600(2003) 02 0043 05
, ( CNN) CNN ,
. , , , ,
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( ) .
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CNNS:
n n
i ( ) = i i ( ) + ij j xj (t) + ij j xj t j (t) + i( ) ,
u t c u t a f b f I t
j = 1 j = 1
ci 0, i= 1, 2, , n, ( 1)
i , ji , ji , i [ 1] . ,
c a b I Lyapunov
2 2
, 2 + ( 1) ,
ab a b
[ 2]
. , CNNS ( 1) .
1
i( ) = i , ,
I t I DCNN
n n
i i i ij j uj (t) ji j xj t j ( t) i
u (t) = c u (t) + af + b f + I ,
j = 1 j = 1
ci 0, i= 1, 2, , n, ( 2)
0i( ) ( = ) ; i( = 1, 2, , ) .
t const I i n
( 2)
xi(t) = i(t) , t 0, i= 1, 2, , n,
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i(t) , ( 2) x = x 1 ,x2 , ,xn .
n
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