########################################################################
# ESTIMATION PROBLEM: A->B->C
#
#    MIN  [xdata1-x1]^2 + [xdata2-x2]^2
#   p1,p2
#     s.t.    dx1dt = -p1*x1
#             dx2dt =  p1*x1 - p2*x2
#            x1(t0) =  1
#            x2(t0) =  0
#                0 <= p1,p2 <= 10
################################################# COPYRIGHT MIT 2005 ###

DECLARATION
  state:        x(1:2)
  parameter:    p(1:2)
  time:         [0,1]
  intermediate: z(1:1)
  data:         xdata(1:2)
END

PARAMETER VALUES
  p(1) = 3:[0,10]
  p(2) = 4:[0,10]
END
 
EQUATION
   z(1) =  p(1)*x(1);
  $x(1) = -z(1);
  $x(2) =  z(1)-p(2)*x(2);
END

REFERENCE
  x(1) = x_L(1);
  x(2) = x_L(2);
  p(1) = p_L(1);
  p(2) = p_L(2);
END

INITIAL
  x(1) = 1;
  x(2) = 0;
END

OBJECTIVE
  ((xdata(1)-x(1))^2 + (xdata(2)-x(2))^2);
END