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Q: Inverse Volterra polynomials ..
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Rais D. Akhmetsafin  
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 More options Mar 20 1995, 3:33 am
Newsgroups: sci.engr.control
From: "Rais D. Akhmetsafin" <a...@ugatu.uaicnit.bashkiria.su>
Date: Mon, 20 Mar 95 11:26:07 -0200
Local: Mon, Mar 20 1995 8:26 am
Subject: Q: Inverse Volterra polynomials ..

 
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H Zhang  
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 More options Mar 20 1995, 11:21 am
Newsgroups: sci.engr.control
From: co...@sunc.sheffield.ac.uk (H Zhang)
Date: 20 Mar 1995 16:21:00 GMT
Subject: Re: Q: Inverse Volterra polynomials ..
Rais D. Akhmetsafin (a...@ugatu.uaicnit.bashkiria.su) wrote:

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


 
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Rais D. Akhmetsafin  
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 More options Mar 24 1995, 12:44 pm
Newsgroups: sci.engr.control
From: "Rais D. Akhmetsafin" <a...@ugatu.uaicnit.bashkiria.su>
Date: Fri, 24 Mar 95 14:02:11 -0200
Local: Fri, Mar 24 1995 11:02 am
Subject: Re: Q: Inverse Volterra polynomials ..
Thank you for your interest.

      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


 
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Ye Fu  
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 More options Mar 24 1995, 1:23 pm
Newsgroups: sci.engr.control
From: y...@ilex.ppc.ubc.ca (Ye Fu)
Date: 24 Mar 1995 18:23:09 GMT
Local: Fri, Mar 24 1995 1:23 pm
Subject: Re: Q: Inverse Volterra polynomials ..
In article <AB3qkSl...@ugatu.uaicnit.bashkiria.su>, "Rais D. Akhmetsafin" <a...@ugatu.uaicnit.bashkiria.su> writes:
|> Thank you for your interest.
|>
|>       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
|>

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    


 
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