The system matrix of a continuous time system is described in the state variable form is: [A = [ *20c x00 0y - 1 01 - 2 ]] The system is stable for all values of x and y satisfying.

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This question belongs to Electronics And Communications Engineering Control Systems

Control Systems

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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 & Solution

Correct Answer: Option D

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