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Control system miscellaneous

  1. Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system ?
    1. All the poles of the system must lie on the left side of the jω axis.
    2. Zeros of the system can lie anywhere in the splane.
    3. All the poles must lie within | s | = 1.
    4. All the roots of the characteristic equation must be located on the left side of the jω axis.
Correct Option: C

Consider option (a) : In which all the poles lie on the left of jω axis which satisfy casual stable LTI system.
Option (b) : For a stable casual system, there are no restriction for the position of zeroes on s plane.
Option (c) : text true.
Option (d) : Roots of characteristic equation are all closed loop poles and they all line on the left side of the jω axis.



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