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Which of the following statements is NOT TRUE for a continuous time causal and stable LTI system?
  • a)
    All the poles of the system must lie on the left side of the jω-axis
  • b)
    Zeroes of the system can lie anywhere in the s-plane
  • c)
    All the poles must lie within |s| = 1
  • d)
    All the roots of the characteristic equation must be located on the left side of the jω-axis.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which of the following statements is NOT TRUE for a continuous time ca...
For an LTI system to be stable and causal all poles or roots of characteristic equation must lie on LHS of s-plane i.e., left hand side of jω− axis
[Refer Laplace transform].
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Which of the following statements is NOT TRUE for a continuous time causal andstable LTI system?a)All the poles of the system must lie on the left side of the jω-axisb)Zeroes of the system can lie anywhere in the s-planec)All the poles must lie within |s| = 1d)All the roots of the characteristic equation must be located on the left side ofthe jω-axis.Correct answer is option 'C'. Can you explain this answer?
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Which of the following statements is NOT TRUE for a continuous time causal andstable LTI system?a)All the poles of the system must lie on the left side of the jω-axisb)Zeroes of the system can lie anywhere in the s-planec)All the poles must lie within |s| = 1d)All the roots of the characteristic equation must be located on the left side ofthe jω-axis.Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Which of the following statements is NOT TRUE for a continuous time causal andstable LTI system?a)All the poles of the system must lie on the left side of the jω-axisb)Zeroes of the system can lie anywhere in the s-planec)All the poles must lie within |s| = 1d)All the roots of the characteristic equation must be located on the left side ofthe jω-axis.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is NOT TRUE for a continuous time causal andstable LTI system?a)All the poles of the system must lie on the left side of the jω-axisb)Zeroes of the system can lie anywhere in the s-planec)All the poles must lie within |s| = 1d)All the roots of the characteristic equation must be located on the left side ofthe jω-axis.Correct answer is option 'C'. Can you explain this answer?.
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