zero state / zero input repsonse and transient and steady state responce..

[nabliat6]

what is the hierarchy between those two groups
?
what is the part of what

 

[mel8030]

Should be a simple question. I am not sure of the answer.
I think zero state response is a subset of steady state response. Zero state response has the initial state of zero at time = 0.
For instance, steady state could have charged capacitors at t=0, while with zero state, there is no charge on the capacitors at time =0
wouldn't they be the same at t=infinity?

could the relationship be the same between zero input and transient response?

can someone verify this?

 

[blueocean]

hi, does anyone knows how to obtain the zero state and steady state responce of a disceret signal by matlab?

 

[MrAl]

Hi there,

ZIR zero input response is the response to internal excitations only.
ZSR zero state response is the forced response to init conditions of 0.

The transient response is the superposition of both of the above. Kind of a fancy way to explain that the total response depends both on inputs and internal states, and also that the internal states work sort of like inputs of their own.
The steady state response is the response at t infinity after all the exponential terms have stabilized. Note that at t infinity states could be whatever the circuit settled to, either zero or non-zero, or even sinusoidally changing with time.