Positive Realization Problem of 2D Continuous- Discrete Linear Systems

Author(s):  
Tadeusz Kaczorek ◽  
Łukasz Sajewski
Automatica ◽  
1976 ◽  
Vol 12 (4) ◽  
pp. 371-374
Author(s):  
H.W. Brewer ◽  
C.T. Leondes

2001 ◽  
pp. 207-272
Author(s):  
Branislav Kisačanin ◽  
Gyan C. Agarwal

Author(s):  
Mikołaj Busłowicz ◽  
Andrzej Ruszewski

Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systemsAsymptotic stability of models of 2D continuous-discrete linear systems is considered. Computer methods for investigation of the asymptotic stability of the Roesser type model are given. The methods require computation of eigenvalue-loci of complex matrices or evaluation of complex functions. The effectiveness of the stability tests is demonstrated on numerical examples.


Optimization ◽  
2000 ◽  
Vol 48 (2) ◽  
pp. 271-289 ◽  
Author(s):  
M Rachik ◽  
E Labriji ◽  
A Abkari ◽  
J Bouyaghroumni

2010 ◽  
Vol 20 (3) ◽  
pp. 267-285 ◽  
Author(s):  
Tadeusz Kaczorek ◽  
Łukasz Sajewski

Computation of positive realization of MIMO hybrid linear systems in the form of second Fornasini-Marchesini modelThe realization problem for positive multi-input and multi-output (MIMO) linear hybrid systems with the form of second Fornasini-Marchesini model is formulated and a method based on the state variable diagram for finding a positive realization of a given proper transfer matrix is proposed. Sufficient conditions for the existence of the positive realization of a given proper transfer matrix are established. A procedure for computation of a positive realization is proposed and illustrated by a numerical example.


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