Q: Inverse Volterra polynomials ..
Rais D. Akhmetsafin
H Zhang
An intersting title but where the contents is?
The inverse of Volterra polynomial is certainly a queation which
I would like to discuss. Please do carry on.
-Huai
Rais D. Akhmetsafin
I research algorithms of synthesis of control systems on
the basis of representations Volterra. The structure and
parameters nonlinear controllers are received in a sight(kind)
Volterra polynom. A task of inversion polynoms I do in the
frequent area for the first and second harmonics, as well as
by a method of moment for the kernels of the first and second
orders. A structure controllers - model Viener, Zadeh-filter
or Sm-system. I are interested by(with) other methods of
inversion and criteria of quality of control.
Dr. R.D.Achmetsafin
Ye Fu
I guess you want to find the inverse of a Volterra model. You may want to
check Chapter 7 of the book by Prof. Martin Schetzen (1980), "The Volterra and
Wiener Theories of Nonlinear Systems".
I also have one question: in which case the Volterra model will have
all kernels independent on its initial state? I found some real nonlinear
plants can be modelled by initial-state-independent Volterra model
but wish to draw a general conclusion .
--
Ye Fu
University of British Columbia