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IfQ 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 unstableI got this question in an online quiz.I'm obligated to ask this question of The Infinite Time Regulator Problem topic in section Optimal Control Systems of Control Systems |
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Answer» RIGHT answer is (b) The asymptotic STABILITY is not guaranteed The BEST I can explain: 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. |
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