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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?
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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.
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.
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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