The system matrix of a continuous time system is described in the state variable form is:
\[A = \left[ {\begin{array}{*{20}{c}}
x&0&0\\
0&y&{ - 1}\\
0&1&{ - 2}
\end{array}} \right]\]
The system is stable for all values of x and y satisfying.
A. \[x < \frac{1}{2},\,y < \frac{1}{2}\]
B. \[x > \frac{1}{2},\,y > 0\]
C. \[x < 0,\,y < 2\]
D. \[x < 0,\,y < \frac{1}{2}\]
Answer: Option D
This Question Belongs to Electronics And Communications Engineering >> Control Systems
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