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When time and the state variables tend to infinity then the system becomes:

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When  time and the state variables tend to infinity then the system becomes:

(a) Unstable

(b) Stable

(c) Marginally stable

(d) Conditionally stable

I got this question at a job interview.

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

1 Answer

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The correct answer is (b) Stable

Explanation: The terminal penalty term has no significance and it does not appear in the performance index and terminal time if tends to infinity then the system becomes stable.

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