(4.7)

(4.9)


(1)

(4.11)

–


(4.16)



(4.19)






4.1

4.2 -

4.3 -

() ()

4.5




MATLAB


(4.22)
wij0ji
wij 0ji

,

nr







- EMBED Equation.DSMT4
bb0,b1,...,bm %ml
A=[rot90(rot90(eye(n-1,n)))-fliplr(A)]%A
C=[fliplr(b),zeros(1,n-m1)] %C(n)
=A-B*C*V %X=X0′y=0t=T0 %
%
K4=*(X+h*K3)+B*R %K
X=X+h*(K1+2*K2+2*K3+K4)/6 %
y=[y,C*X] %
t=[t,t(i)+h] %
length()
(2) MATLABconv()

a=conv([1 0 0],conv([0.25 1],[0.25 1]))
a=
b=[2*k k]
X0=[0 0 0 0]
v=1n=4T0=0Tf=10h=0.25R=1
EXP4-1.M % EXP4-1.M
Plot(t,y) % (4.11)

(1)


4.12
ii
ii
CDs
ABs

(1)
B Q

DN×N N×R

4.14(4.28)
a2b2c2d2
%
hh0 %
Lll1 %(l1)
For k=l : m
else W(Wij(k,l)(Wij(k,2))Wij(k,3)
Nround((Tf-TO)(h*Ll) %
for j1: L1 %Ll
(-
end
%

-


()





(4.33)
(4.34)

FG
H

(1)

ABC


ABC

1
KT
1
1
b-a
0
Kb
0
K

FI(I)FIM(I)FIJ(I)FIC(I)FID(I)I
4.18

(2) (4.46)
(4.47)
4.19

FIC(i)1FID(i)0 %
if(D(i)0) %FID(i)D(i)B(i)
else
end
FIC(i)=l FID(I)0 %
if(D(i)0) %FIC(i)C(I)D(i)A(i)B(i)
FID(i)=D(i)B(i)
4.*

%
Yzeros(n1)XYy0Ukzeros(n1)UbUk
tT0 h*LlTfN=length(t) %N
for klN-l
for llL1
Ub=Uk %
UkW*YW0*Y0 %UkUdot(UkUb)h %UkUf2*UkUb %Uf%
XFI*XFIM.*UkFIJ.*Udot %
YFIC*XFID.*Uf
end
%
(3) ()


()


else if(Ux<Uxb) %Ux
if((Ux+a1)<=Uyb) %Uy
Uy=Ux+a1 %Uy
else Uy=Uyb %
end
end

(1)
(2)
(3)

Ukzeros(n,1) Ubb=Uk
for k1:N-1
for i=1n
end %
end %n
Yb=Y %Yb
for i=l :n
end
4.28

MATLABP
P[1 10 5 101 0.5 1 01 0.1 1 00 1 1 0]

4.*




1 0 12 1 13 2 14 3 11 4 -1


Z[0 0 0 0]A[0 0 0 0]
1h =0.020.0l 0.25sLl25
h=0.01L1=25
Z[0 0 0 6]A= [0 0 0 1]
EXP4-4.M (4.29)
4.30

4.31

e(t)Z
y(k-j),j=1,2,…,nu(k-i)i=1,2,…,mu(k)y(k) (j=1,2,…,n;i=1,2,…,m)
( )




4.33T()r
4.33

4.34ThT

(2) m n
4.38
Y=zeros(n,1) %y
for kl:N
ykA*YB*U %→
YykY(l: n-1) %→
ytytyk %
t[t,k*T] %
(0l)
4.*

(1) 0 T 1 4.40

ylagukylag(l: M1) %ukM1u
ykylag(M1l) %uk-M1
u“→→”MTALAB

(2) 0 T
y(k) 1 1uy(k)

4.41

ylag=[ukylag(1:M1+1)] %→,M1+1u
yk=(1-M2)*ylag(M1+1)+M2*ylag(M1+2) %,
, =0,

4-3 (h