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Performance index can become infinite if:

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in Control Systems by (105k points)
Performance index can become infinite if:

(a) One or more state are uncontrollable

(b) The uncontrollable states are uncontrollable

(c) The unstable states are reflected in system performance index

(d) All of the mentioned

I got this question in an online quiz.

My doubt is from The Infinite Time Regulator Problem topic in section Optimal Control Systems of Control Systems

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The correct choice is (d) All of the mentioned

To elaborate: Performance index can become infinite if one or more states are uncontrollable and unstable states are reflected in system performance index.

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