用MATLAB 求解Lyapunov equation

参考网址:
https://www.researchgate.net/post/What_is_the_best_way_to_find_Lyapunov_functions2

X = dlyap(A, Q) solves the discrete-time Lyapunov equation:

AXATX+Q=0. A X A T − X + Q = 0.

The discrete-time Lyapunov equation has a (unique) solution if the
eigenvalues α1, α2, …, αN of A satisfy αiαj ≠ 1 for all (i, j). If
this condition is violated, dlyap produces the error message:
“Solution does not exist or is not unique.” Please check the
eigenvalues of A.
CODE IS AS FOLLOWS:

A = 0.1;
Q = 0.5;
X = dlyap(A,Q);
>> X
X =
    0.5051

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