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function [Y,X] = sm2sr(A,B,C,D,T,u0,x0);
% [Y,X] = sm2sr(A,B,C,D,T,u0,x0);
% Constrained-state matrix to impulse response.
% A,B,C,D,E - (constrained) state matrices
% T vector of time points
% u0 input gain vector: u = u0*unit step.
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %% Revision 1.1 1996/08/19 15:34:29 peter
% %% Initial revision
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
[Ny,Nu] = size(D);
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function [Y,X] = sm2sr(A,B,C,D,T,u0,x0);
% [Y,X] = sm2sr(A,B,C,D,T,u0,x0);
% Constrained-state matrix to impulse response.
% A,B,C,D,E - (constrained) state matrices
% T vector of time points
% u0 input gain vector: u = u0*unit step.
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %% Revision 1.2 1996/09/10 16:48:21 peter
% %% Changed ar counts in default settings.
% %%
% %% Revision 1.1 1996/08/19 15:34:29 peter
% %% Initial revision
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
[Ny,Nu] = size(D);
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one = eye(Nx);
Y = zeros(N,Ny);
X = zeros(N,Nx);
i = 0;
for t = T'
i=i+1;
if Nx>0
expAt = expm(A*t);
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one = eye(Nx);
Y = zeros(N,Ny);
X = zeros(N,Nx);
dt = T(2)-T(1);% Assumes fixed interval
expAdt = expm(A*dt); % Compute matrix exponential
i = 0;
expAt = one;
for t = T'
i=i+1;
if Nx>0
x = ( A\(expAt-one) )*B*u0 + expAt*x0;
expAt = expAt+expAdt;
X(i,:) = x';
if Ny>0
y = C*x + D*u0;
Y(i,:) = y';
end;
elseif Ny>0
y = D*u0;
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