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Consider the following statements for continuous-time linear time invariant (LTI) systems.
I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.
II. There is non causal and BIBO stable system with a pole in the right half of the complex plane.
I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.
II. There is non causal and BIBO stable system with a pole in the right half of the complex plane.
Which one among the following is correct?
- a)Both I and II are true
- b)Both I and II are not true
- c)Only I is true
- d)Only II is true
Correct answer is option 'D'. Can you explain this answer?
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Consider the following statements for continuous-time linear time inva...
If a system is non-causal then a pole on right half of the s-plane can give BIBO stable system. But for a causal system to be BIBO all poles must lie on left half of the complex plane.
Most Upvoted Answer
Consider the following statements for continuous-time linear time inva...
Statement I: There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.
Explanation:
- A linear time invariant (LTI) system is said to be BIBO stable if every bounded input to the system produces a bounded output.
- The poles of an LTI system are the values of s for which the denominator of the transfer function becomes zero.
- The right half of the complex plane includes all values of s with positive real parts.
- If a system has a pole in the right half of the complex plane, it means that the system is unstable because it will have exponential growth in response to certain inputs.
- Therefore, a BIBO stable system cannot have a pole in the right half of the complex plane.
Statement II: There is non-causal and BIBO stable system with a pole in the right half of the complex plane.
Explanation:
- A non-causal system is one in which the output depends on future values of the input, which is not physically realizable.
- However, we can analyze non-causal systems mathematically.
- It is possible to have a non-causal and BIBO stable system with a pole in the right half of the complex plane.
- In this case, the system response will be bounded for all bounded inputs, but the system will not be physically realizable due to its non-causal nature.
Conclusion:
- From the explanations above, we can conclude that only Statement II is true.
- Statement I is false because a BIBO stable system cannot have a pole in the right half of the complex plane.
- Statement II is true because a non-causal and BIBO stable system can have a pole in the right half of the complex plane, although it is not physically realizable.
Explanation:
- A linear time invariant (LTI) system is said to be BIBO stable if every bounded input to the system produces a bounded output.
- The poles of an LTI system are the values of s for which the denominator of the transfer function becomes zero.
- The right half of the complex plane includes all values of s with positive real parts.
- If a system has a pole in the right half of the complex plane, it means that the system is unstable because it will have exponential growth in response to certain inputs.
- Therefore, a BIBO stable system cannot have a pole in the right half of the complex plane.
Statement II: There is non-causal and BIBO stable system with a pole in the right half of the complex plane.
Explanation:
- A non-causal system is one in which the output depends on future values of the input, which is not physically realizable.
- However, we can analyze non-causal systems mathematically.
- It is possible to have a non-causal and BIBO stable system with a pole in the right half of the complex plane.
- In this case, the system response will be bounded for all bounded inputs, but the system will not be physically realizable due to its non-causal nature.
Conclusion:
- From the explanations above, we can conclude that only Statement II is true.
- Statement I is false because a BIBO stable system cannot have a pole in the right half of the complex plane.
- Statement II is true because a non-causal and BIBO stable system can have a pole in the right half of the complex plane, although it is not physically realizable.
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Consider the following statements for continuous-time linear time invariant (LTI) systems.I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.II. There is non causal and BIBO stable system with a pole in the right half of the complex plane.Which one among the following is correct?a)Both I and II are trueb)Both I and II are not truec)Only I is trued)Only II is trueCorrect answer is option 'D'. Can you explain this answer?
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Consider the following statements for continuous-time linear time invariant (LTI) systems.I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.II. There is non causal and BIBO stable system with a pole in the right half of the complex plane.Which one among the following is correct?a)Both I and II are trueb)Both I and II are not truec)Only I is trued)Only II is trueCorrect answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Consider the following statements for continuous-time linear time invariant (LTI) systems.I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.II. There is non causal and BIBO stable system with a pole in the right half of the complex plane.Which one among the following is correct?a)Both I and II are trueb)Both I and II are not truec)Only I is trued)Only II is trueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements for continuous-time linear time invariant (LTI) systems.I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.II. There is non causal and BIBO stable system with a pole in the right half of the complex plane.Which one among the following is correct?a)Both I and II are trueb)Both I and II are not truec)Only I is trued)Only II is trueCorrect answer is option 'D'. Can you explain this answer?.
Consider the following statements for continuous-time linear time invariant (LTI) systems.I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.II. There is non causal and BIBO stable system with a pole in the right half of the complex plane.Which one among the following is correct?a)Both I and II are trueb)Both I and II are not truec)Only I is trued)Only II is trueCorrect answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Consider the following statements for continuous-time linear time invariant (LTI) systems.I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.II. There is non causal and BIBO stable system with a pole in the right half of the complex plane.Which one among the following is correct?a)Both I and II are trueb)Both I and II are not truec)Only I is trued)Only II is trueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements for continuous-time linear time invariant (LTI) systems.I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.II. There is non causal and BIBO stable system with a pole in the right half of the complex plane.Which one among the following is correct?a)Both I and II are trueb)Both I and II are not truec)Only I is trued)Only II is trueCorrect answer is option 'D'. Can you explain this answer?.
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