If Q is positive semi- definite:
A. The optimal closed loop system is asymptotically stable
B. The asymptotic stability is not guaranteed
C. The system is stable
D. The system is unstable
Answer:B
If Q is positive semi- definite:
A. The optimal closed loop system is asymptotically stable B. The asymptotic stability is not guaranteed C. The system is stable D. The system is unstable
Explanation: If the plant is controllable and bounded and in infinite state regulators the asymptotic stability is not guaranteed even if the Q is positive and semi-definite.