我的问题是以下优化问题:
min J=X'*E*X+U'*E*U st X'-X0'-X'*D1*Q*P+X'*D1*Q*Z=0
其中X和U是2*r+1 by 1列矩阵, X0是2*r+1 by 1已知列矩阵,而E, D1, D2, P and Z是2*r+1 by 2*r+1矩阵。此外, Phi*Phi'*D2*U=Q*Phi ,其中, Phi是2*r+1 by 1已知列矩阵。
X
U
2*r+1 by 1
X0
E, D1, D2, P and Z
2*r+1 by 2*r+1
Phi*Phi'*D2*U=Q*Phi
Phi