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The system matrix of a continuous-time system, describe in the state variable form is
The system is stable for all values of x and y satisfying
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x < 1 , y < 1 2 2
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x > 1 , y > 1 2 2
- x < 0 , y < 2
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x < 0 , y < 1 2
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Correct Option: C
| sI– A| = 0 should have roots in left half complex plane only.
(s + 2) – (– 1)]= (s – x) [s2 + s(2 – y) + 1– 2 y]
For the roots to lie in left hand plane,
x < 0 and, (2 – y) > 0 or y < 2
