Why is the impulse response function of this system 0?

1. What is the impulse function when T 0?
2. Is the impulse response the zero input response?
3. What is the function of impulse response?
4. What is zero state response in signals and systems?

What is the impulse function when T 0?

At the origin (t = 0) the amplitude of impulse signal is infinity so that the area under the curve is unity. The continuous-time impulse signal is also called Dirac Delta Signal.

Is the impulse response the zero input response?

The impulse response of a system, possibly described by an ODE, is the zero-state response to an input signal x(t)=δ(t).

What is the function of impulse response?

In signal processing, the impulse response, or impulse response function (IRF), of a dynamic system is its output when presented with a brief input signal, called an impulse. More generally, an impulse response refers to the reaction of any dynamic system in response to some external change.

What is zero state response in signals and systems?

In electrical circuit theory, the zero state response (ZSR), is the behaviour or response of a circuit with initial state of zero. The ZSR results only from the external inputs or driving functions of the circuit and not from the initial state.