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.
মোঃ আরিফুল ইসলাম
Feb 20, 2025







