Let matrices A= - ( =) an and Q = (9). (a) Is there a positive...

 

Transcribed Image Text:

Let matrices A= - ( =) an and Q = (9). (a) Is there a positive definite matrix P such that the Lyapunov Matrix Equation is satisfied for matrices A, P, and Q? (b) If you find matrix P, what can you state about the stability of the dynamical system = Ax? (c) Confirm your result by computing the eigenvalues of matrix A. Let matrices A= - ( =) an and Q = (9). (a) Is there a positive definite matrix P such that the Lyapunov Matrix Equation is satisfied for matrices A, P, and Q? (b) If you find matrix P, what can you state about the stability of the dynamical system = Ax? (c) Confirm your result by computing the eigenvalues of matrix A.