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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 s-plane.
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 answer: All the poles must lie within |s| < 1.

Solution

This statement is incorrect because for a continuous time system, stability requires that all poles lie in the left half of the s-plane, but they do not need to be within the unit circle (|s| < 1), which is a condition specific to discrete time systems.

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