scholarly journals Polynomial Calculus Space and Resolution Width

Author(s):  
Nicola Galesi ◽  
Leszek Kolodziejczyk ◽  
Neil Thapen
Keyword(s):  
1998 ◽  
Vol 7 (4) ◽  
pp. 291-324 ◽  
Author(s):  
A.A. Razborov

2001 ◽  
Vol 62 (2) ◽  
pp. 267-289 ◽  
Author(s):  
Sam Buss ◽  
Dima Grigoriev ◽  
Russell Impagliazzo ◽  
Toniann Pitassi
Keyword(s):  

1975 ◽  
Vol 82 (7) ◽  
pp. 730 ◽  
Author(s):  
J. W. Burgmeier ◽  
R. E. Prather
Keyword(s):  

Author(s):  
Aleksander Voevoda ◽  
◽  
Victor Shipagin ◽  

Polynomial methods for synthesizing controllers for automatic control systems with linear objects are becoming increasingly common. The synthesis of multichannel controllers is particularly difficult, which is caused by the need to use matrix polynomial calculus. However, this approach mainly considers objects with the number of inputs equal to the number of outputs. This is due to the convenience of solving a system of linear algebraic equations in matrix polynomial calculus. In this paper, we consider a polynomial method for synthesizing regulators for a non-square object, that is, one whose number of inputs is not equal to the number of outputs. The selected system contains not only a non-square object, but also a non-square controller.


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