Is it possible to represent nonlinear systems as linear time-varying systems? I found little papers and no books covering this subject.
Does anyone have some references on that?
I'm interested in both methods for approximating nonlinear models as LTV models and identification of LTV systems from empirical data.
Nonlinear systems as linear time-varying systems?
Camden Allen
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Carter Torres
What is the scientific reason why women with braids are more attractive than women without them?
Isaiah Perry
I don't think you can.
How can you represent the nonlinear system
\dot{x} = -x^3
as a linear time varying system?
any linear system you pick will not truly represent this non linear system.
If you are trying to approximate the function then linearize the nonlinear system.
Austin Sanchez
Maybe but would that be useful? You'd just be pushing off the non-linearity to the parameters.
Landon Allen
as far as i recall you can approximate them by having a finite set of linear time varying systems which approximate the real system around certain points.
like you have a tensor or something of linear time varying systems that are used to do that.
Owen Price
>How can you represent the nonlinear system
>\dot{x} = -x^3
>as a linear time varying system?
well as the solution of the ODE has to be continous you can approximate it pointwise by linear functions.
Aiden Robinson
That is what I said at the bottom, you can just linearize the system.
Connor Anderson
Yes and it is really useful if you think about it for a while.
Justin Cooper
Show an article or subject related to this.
Charles Mitchell
Nah, it would just be rejected if I as much as tried. I'm gonna sit here and drink piwo instead.