参考文献

24 2 Vol124, No. 2
2007 2 ComputerApplications and Software Feb. 2007
Java
( 510275)
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, , Java ,
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6 , Java
Java
SIMULATIO N M OD EL O F O RD INARY L INEAR SY STEM
AND JAVA2BASED NETW O RK IMPLEMENTATION
Q i Yanhong
(L ibrary of School of L ife Science, Zhongshan University, Guangzhou Guangdong 510275, China)
AbstractIn this study a Java network software for ordinary linear system model was developed. It may be used to recognize linear system
with linear regression, to make dynam ic simulation and p rediction using the model. Stability of the system can also be computed and indicated
in the software. This software included 6 Java classes and 1 HTML file, and can be run on various Java2enabled web browsers.
KeywordsO rdinary linear systemRecognitionSimulationJavaN e two rk softw a re
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1. 1
:
dx /dt =Ax
x ( t 0
) = x 0
, x = ( x 1 , x 2 , , x n
) x ( t) = e At x ( t 0
) h
= t( k +1) - t( k) , :
x ( t( k +1)) = e Ah x ( t( k) ) k =0, 1, 2,
, e Ah = E +Ah + (Ah) 2 /2! + (Ah) 2 /3! + , A
, x 0 , h =1
, |A - E | =0
, ; 0,
0 1 , ; ,
[1 ]
1. 2
A , ,
x/t =Ax, x 1 ,
, :
x 1 / ( x 1
t) = a 01 + a 11 x 2 /x 1 + a 21 x 3 /x 1 + + a n -11 x n /x 1
x 2 / ( x 1
t) = a 02 + a 12 x 2 /x 1 + a 22 x 3 /x 1 + + a n -12 x n /x 1
x n / ( x 1
t) = a 0 n + a 1n x 2 /x 1 + a 2n x 3 /x 1 + + a n -1n x n /x 1
y = (x 1 / ( x 1
t) , x 2 / ( x 1
t) , , x n / ( x 1
t) ), z i =
x i +1 /x 1 , i=1, 2, , n-1 :
y i = a 0i + a 1i z 1 + a 2i z 2 + + a n -1i z n -1 i =1, 2, , n
m , , (m -1)
( n -1) ( z ij
) (m -1) n
( y ij
)
L = ( l ij
) , i, j=0, 1, , n-1D = ( d ij
) , i =0, 1, , n
-1; j=1, , n l 00 = m -1, l 0j = z kj ,l i0
k=1, , m - 1
= k=1, ,m-1
z ki ,l ij = k=1, , m - 1
z ki z kj i, j = 1, 2, , n- 1
: 2005 - 05 - 09 : (30170184) ,
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© 1994-2007 China Academic Journal Electronic Publishing House. All rights reserved. http://www.cnki.net

2 : Java 131
d 0j = y
k=1, , m - 1
kj ,d ij = z
k=1, , m - 1
ki y kj i=1, 2, , n
- 1; j = 1, 2, , n
, A =L -1
D, , A
= ( a ij
) , i=0, 1, , n -1; j=1, 2, , n
, [2 ]
, :
(1) x = f ( t) , f ( at 1 + bt 2
) = af ( t 1
) + bf ( t 2
) , ,
a, b , ; ( 2) ,
, ,
, ; ( 3) ,
,
2
Java ,
6 HTML ( Em a il : qiyanhong@ sci2
entist. com) :
LinearSysSimu ,
Applet
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ResultShow ( 1 ) ,Hint ,GraphicsFrame ,
WarningShow [ 212 ]
fo r ( j=1; j

142 2007
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Voronoi ,
Manhattan
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( 6 ( c) 7 ( f)
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[6] , Voronoi
, , 2002,:
216225.
[7] ,Power ,
, (9) : 11811184.
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x 1 , ,
x 1 0 ,
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5
7
Voronoi
Voronoi
,
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,
,
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© 1994-2007 China Academic Journal Electronic Publishing House. All rights reserved. http://www.cnki.net