Consider the following standard state-space description of a linear time-invariant single input single output system: \(\dot x = Ax + Bu,y = Cx + Du\) Which one of the following statements about the transfer function should be true if D ≠ 0?

Consider the following standard state-space description of a linear time-invariant single input single output system: \(\dot x = Ax + Bu,y = Cx + Du\) Which one of the following statements about the transfer function should be true if D ≠ 0? Correct Answer The system is stable

ẋ = Ax + Bu

y = Cx + Du

Given that, D ≠ 0

y = Cx + Du

If input U is bounded, then output y is also bounded. Hence system is stable.

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