What is the relationship between input and output of an LTI system?

This function exists in the time domain of the system. For an arbitrary input, the output of an LTI system is the convolution of the input signal with the system’s impulse response.

Is transfer function input over output?

The transfer function defines the relation between the output and the input of a dynamic system, written in complex form (s variable). For a dynamic system with an input u(t) and an output y(t), the transfer function H(s) is the ratio between the complex representation (s variable) of the output Y(s) and input U(s).

Does transfer function depend on input?

in transfer function of a system, the differential equation of the system can be obtained. The transfer function of a system does not depend on the inputs to the system. The system poles and zeros can be determined from its transfer function.

What do you think is the reason why we have to get the transfer function of a given control system?

A transfer function represents the relationship between the output signal of a control system and the input signal, for all possible input values. Thus the cause and effect relationship between the output and input is related to each other through a transfer function. …

Which of the following transfer function will have the greatest maximum over shoot?

Which of the following transfer function will have the greatest maximum overshoot? Explanation: Comparing the characteristic equation with the standard equation the value of the damping factor is calculated and the value for the option d is minimum hence the system will have the maximum overshoot .

When the input to an LTI system is?

A linear time-invariant (LTI) system can be represented by its impulse response (Figure 10.6). More specifically, if X(t) is the input signal to the system, the output, Y(t), can be written as Y(t)=∫∞−∞h(α)X(t−α)dα=∫∞−∞X(α)h(t−α)dα.