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If the roots of the have negative real parts, then the response is ____________ 
  • a)
    Stable 
  • b)
    Bounded
  • c)
    Unstable
  • d)
    Marginally stable 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the roots of the have negative real parts, then the response is ___...
If the roots of the have negative real parts then the response is bounded and eventually decreases to zero.
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Most Upvoted Answer
If the roots of the have negative real parts, then the response is ___...
Explanation:

For a system with negative real parts, the response is bounded and stable. This is because a system with negative real parts will have poles in the left half of the complex plane, which means that the system is stable.

Stability:

Stability is the property of a system that determines whether its response will be bounded or not. A stable system is one whose response is bounded for any finite input.

Boundedness:

Boundedness is the property of a system that determines whether its response will be limited or not. A bounded system is one whose output remains within certain limits for any finite input.

Unstable and Marginally Stable:

An unstable system is one whose response grows without bound for some inputs. A marginally stable system is one whose response is bounded, but only just.

Therefore, the correct answer to the given question is (B) Bounded, as a system with negative real parts will always be stable and have a bounded response.
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If the roots of the have negative real parts, then the response is ____________a)Stableb)Boundedc)Unstabled)Marginally stableCorrect answer is option 'B'. Can you explain this answer?
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