Interconnection of Kronecker canonical form and special coordinate basis of multivariable linear systems

2008 ◽  
Vol 57 (1) ◽  
pp. 28-33 ◽  
Author(s):  
Ben M. Chen ◽  
Xinmin Liu ◽  
Zongli Lin
Keyword(s):  
Linear Systems ◽  
Canonical Form ◽  
Kronecker Canonical Form ◽  
Coordinate Basis

scholarly journals A Jordan canonical form for reachable linear systems

1989 ◽  
Vol 122-124 ◽  
pp. 489-524 ◽  
Author(s):  
D. Hinrichsen ◽  
D. Prätzel-Wolters
Keyword(s):  
Linear Systems ◽  
Canonical Form ◽  
Jordan Canonical Form

A Semi-Canonical Form for a Class of Right Invertible Linear Systems

1995 ◽  
Vol 28 (8) ◽  
pp. 539-543
Author(s):  
A. Herrera ◽  
J.F. Lafay ◽  
P. Zagalak
Keyword(s):  
Linear Systems ◽  
Canonical Form

scholarly journals State canonical form for a class of uncontrollable linear systems

2019 ◽  
pp. 1-28
Author(s):  
Albert Compta ◽  
Josep Ferrer ◽  
Marta Peña
Keyword(s):  
Linear Systems ◽  
Canonical Form

scholarly journals Features of the construction of information transfer system which using two-dimensional signals

2019 ◽  
Vol 30 ◽  
pp. 04008
Author(s):  
Andrey Degtyaryov ◽  
Vera Miryanova
Keyword(s):  
Linear Systems ◽  
Information Transfer ◽  
Transfer System ◽  
Two Dimensional ◽  
Orthogonal Functions ◽  
Prototype Filter ◽  
Interchannel Interference ◽  
Low Pass ◽  
Impulse Characteristics ◽  
Coordinate Basis

The article deals with analysis of the causes of intersymbol interference and interchannel interference. It is indicated that physically unrealizable orthogonal bases are used to describe systems and signals. The considered interference occurs due to the loss of orthogonality by the coordinate signals of the bases. Known methods for obtaining systems of orthogonal functions do not allow the formation of a coordinate basis corresponding to physically feasible systems and signals. It is proposed to use equidistant biased impulse characteristics of physically realizable linear systems as basic signals. An orthogonalization method based on determining the weight of orthogonality is described. It is shown that the resulting basis is quasi-orthogonal. It is determined that the conversion of the standart low-pass prototype filter into the filters of channel-forming equipment does not change the conditions of orthogonality. Structural schemes of a modulator and a demodulator of two-dimensional signals are proposed, based on the developed method of orthogonalization.

Prescribed-time output feedback for linear systems in controllable canonical form

Automatica ◽  
2019 ◽  
Vol 107 ◽  
pp. 77-85 ◽  
Author(s):  
John Holloway ◽  
Miroslav Krstic
Keyword(s):  
Linear Systems ◽  
Canonical Form ◽  
Output Feedback

Prescribed-Time Observers for Linear Systems in Observer Canonical Form

2019 ◽  
Vol 64 (9) ◽  
pp. 3905-3912 ◽  
Author(s):  
John Holloway ◽  
Miroslav Krstic
Keyword(s):  
Linear Systems ◽  
Canonical Form

On the Kronecker Canonical Form of Mixed Matrix Pencils

2011 ◽  
Vol 32 (1) ◽  
pp. 44-71 ◽  
Author(s):  
Satoru Iwata ◽  
Mizuyo Takamatsu
Keyword(s):  
Canonical Form ◽  
Mixed Matrix ◽  
Matrix Pencils ◽  
Kronecker Canonical Form
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