Is the Zero State Response Unaffected by Initial Conditions?

[LM741]

do you guys aggree with this:

The zero state response is never affected by initial conditions.

thanks

 

[SGT]

It depends on what you mean by affected. Zero state response is the response of the system when the initial conditions are zero. So the initial value of the response is 0 and in a system of order equal or greater than two, the initial slope of the response will also be 0. So in this sense the initial state influences the response.
But if there is no excitation, the system will remain in the zero state and the response will not be influenced.

 

[LM741]

what i mean by affected is: you will always get the same answer for sero state response regardless of what the initial condition are. i.e. there is no correlation.
I came to this conclusion whilst doing a state space problem that requires the zero state response. In the textbook, they first derive a solution for X(z)
, working in discrete. This X(z) is actually made up of two terms, where the one term includes the inital conditions. To solve for the ZSR they exclude the term with the initail condititions and work from there...

thanks

 

[SGT]

what i mean by affected is: you will always get the same answer for sero state response regardless of what the initial condition are. i.e. there is no correlation.
...
thanks

Do you really understand what zero state response means? By definition, ZSR is the response of the system when all initial conditions are zero. How can you calculate ZSR with varying initial conditions?

 

[LM741]

yup i just realized that.
thanks