z-plane

Ask

STATEMENT A:

For a System to be STABLE all the closed loop poles or the roots of the characteristic equation must lie within the unit circle in z-plane.

STATEMENT B:

If a simple pole lies at |z| =1, the system becomes marginally stable. Similarly if a pair of complex conjugate poles lie on the |z|=1 circle, the system is marginally stable.

STATEMENT C - Multiple poles at the same location on unit circle make the system unstable.

Which of the above statements are true?

(a) STATEMENT A&B are True, STATEMENT C is false

(b) STATEMENT A,B&C are true

(c) STATEMENT A&C are true

(d)none of them are true

Answer is ( )

Concept

Type Reasoning here