Solution of a matrix Riccati equation considering descriptor system?

want to know the way of solution for matrix equation (30), V_C is the unknown matrix variable, and R_C, W_C are considered to be unity matrices, most important the matrix E is a singular matrix.

[Sam Chak]

Hi @ARNAB PAL

Can you show the following matrices {E, A, C, , and }?

The symbolic equations and systems solver, solve(), should be capable of solving it and find .

[ARNAB PAL]

Thank you sir for your valuable reply, and the required known matrices for the solution of the matrix equation are the following,

E=[1 0 0;0 1 0;0 0 0];

A=[-1 -2 1;2 -1 4;-1 -2 3];

C=[1 1 1];

[ARNAB PAL]

Moreover,

W_C=[1 0 0;0 1 0;0 0 1];

R_C=[1 0 0;0 1 0;0 0 1];