Question

For the stable system in discrete optimal control systems:

(a) Poles must lie outside the unit circle

(b) Poles must lie within the unit circle

(c) Poles must be on the unit circle

(d) Pole must be in infinity

This question was posed to me by my school principal while I was bunking the class.

I want to ask this question from Optimal Control Problems-2 in division Optimal Control Systems of Control Systems

Answer 1

Right option is (b) Poles must lie within the unit circle

The explanation: Poles in discrete system must be inside the unit circle and for causal system it must be outside the circle but no including the infinity.