Identify whether the given statements related to state variable technique are true or false.
1. It is a frequency domain approach.
2. It is applicable to only linear time invariant systems.
DSSSB AE - 2023,
Answer: B
Both statements are false. The state variable technique is a time domain approach: it writes the system as first order differential equations in the state vector, \(\dot{x} = Ax + Bu\), \(y = Cx + Du\), whereas the transfer function method works in the frequency (s) domain. It is not limited to linear time invariant systems, since the state variable method can describe time varying and nonlinear systems as well, and it handles multiple inputs and outputs.
So the pair false and false is correct. The answer is option B.
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