白噪声激励这样施加对吗?
function xd = Pendulum_fun(t,x,f1)L1 = 1;m1 = 0.09; ka = 0.5;f0 = -0.1;f1 = 0.05;zeta = 0.05;t =1;w=sqrt(m1/ka);
X = x(1);
Y = x(2);
thet = x(3);
dX = x(4);
dY = x(5);
dthet= x(6);
% Mw= linspace(0.45,0.9,500);w1 = w(1);
T = 2*pi/w;
NN=500;
tt = linspace(0,50*T,NN);
dt=tt(2)-tt(1);
randn('state',100);
dW = sqrt(dt)*randn(1,NN);
for h=1:NN
Winc = dW(h);
M= [1,0,L1*m1*cos(thet);
0,1,L1*m1*sin(thet);
cos(thet),sin(thet),L1];
C= [2*zeta*(1+m1),0,2*zeta*L1*m1*cos(thet);
-2*zeta*Y/sqrt(1-Y^2),2*zeta*(1+m1+Y^2/(1-Y^2)),2*zeta*m1*L1*sin(thet);
2*zeta*cos(thet),2*zeta*sin(thet),2*zeta*L1];
K= diag();
XXX= X-1+sqrt(1-Y^2);
NF = [-L1*m1*dthet^2*sin(thet)+sqrt(1-Y^2)-1;
m1*L1*dthet^2*cos(thet)-Y*XXX/sqrt(1-Y^2)-f0];
F=;
%F =; F*sqrt(dt)*randn(1,500)-f1*dW(h -f0*sin(thet)];
AA = [zeros(3,3),eye(3,3);
-inv(M)*K,-inv(M)*C];
BB = ;
EQ = AA*+BB+F*Winc;
%h
end
s1 = EQ(1);s2 = EQ(2);s3 = EQ(3);s4 = EQ(4);s5 = EQ(5);s6 = EQ(6);
xd = ;
end
关于这个随机方程的求解能给点意见吗?因为这给方程好像不属于ito型或是stratonovich型的方程?
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