Question

The two components of a linear system response are zero-input response and zero-state response. Explain the meaning of each of these components.What is the practical significance of zero-input response?

Answer 1

zero input response: In electrical set theory, the output of the system with zero input is called zero- input response.

The zero input response depends only on the inputs.

zero state response: The zero state response is nothing but the response of the circuit when it's initial state is taken to be zero. This means that no non zero input has ever been applied to the system.

significance: zero input responses is very important to understanding control systems. It only depends on the system properties and on the values of the initial conditions. The zero input response become zero if the initial condition are zero.