使用Matlab解决Matrix形式的DDE

时间:2017-06-30 07:25:19

标签: matlab ode differential-equations dde

我需要解决以下延迟等式:

Xdot = A*x(t) + B*U(t) + E(t)
U(t) = K*S*x(t-0.02) or U(t) = K*S*x(t-0.02)/alpha

其中:

A: 6*6 matrix 
K and alpha are scalar
S: 1*6 vector
E and U and x and B: 6*1 vectors.

我使用以下代码来解决方程:

for i = 2:2688 
if  %(first condition ok)
    sol = dde23(@Insectorforce,0.02,history(:,i-1),[time(i-1) time(i)]);
else
    sol = dde23(@Outsectorforce,0.02,history(:,i-1),[time(i-1) time(i)]);                                                                                                          
end
x(:,i)=sol.x
history(i+2) = x(:,i); 
end

包含以下功能文件:

function xdot = Insectorforce(t,y,z,A,B,S,E,K,Beta,P)
  xdot = (A*y) - ((B*K*S/alpha)*(z)) + E;
end

function xdot = Outsectorforce(t,y,z,A,B,S,E,K)
  xdot = (A*y) - ((B*K*S*z) + E;
end

但是,我收到以下错误:

Error using Outsectorforce (line 2)
Not enough input arguments.

Error in dde23 (line 217)
f0 = feval(ddefun,t0,y0,Z0,varargin{:});

Error in filename (line 101)
sol = dde23(@Outsectorforce,0.02,history(:,i-1),[time(i-1) time(i)]);

我的代码出了什么问题?我对尺寸没有问题,我用ode23毫不拖延地解决了这个等式。但是,我无法使用dde23ddesd来解决此问题。

1 个答案:

答案 0 :(得分:2)

dde23需要具有三个参数的函数句柄。尝试

sol = dde23(@(t,y,z)(Insectorforce(t,y,z,A,B,S,E,K,Beta,P)),0.02,history(:,i-1),[time(i-1) time(i)]);

sol = dde23((@(t,y,z)(Outsectorforce(t,y,z,A,B,S,E,K)),0.02,history(:,i-1),[time(i-1) time(i)]);

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