The weak stochastic realization problem for discrete-time counting processes

1984 ◽  
pp. 436-444
Author(s):  
J. H. van Schuppen
Keyword(s):  
Discrete Time ◽  
Counting Processes ◽  
Realization Problem ◽  
Stochastic Realization

scholarly journals Positive Partial Realization Problem for Linear Discrete-Time Systems

2007 ◽  
Vol 17 (2) ◽  
pp. 165-171 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Impulse Response ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Finite Sequence ◽  
Realization Problem ◽  
Numerical Examples ◽  
Discrete Time Systems ◽  
Time Systems

Positive Partial Realization Problem for Linear Discrete-Time SystemsA partial realization problem for positive linear discrete-time systems is addressed. Sufficient conditions for the existence of its solution are established. A procedure for the computation of a positive partial realization for a given finite sequence of the values of the impulse response is proposed. The procedure is illustrated by four numerical examples.

On the nonlinear stochastic realization problem

1989 ◽  
Vol 26 (2) ◽  
pp. 65-79 ◽  
Author(s):  
T. J. S. Tayor ◽  
M. Pavon
Keyword(s):  
Realization Problem ◽  
Stochastic Realization

scholarly journals A new approach to the realization problem for fractional discrete-time linear systems

2016 ◽  
Vol 64 (1) ◽  
pp. 9-14 ◽  
Author(s):  
T. Kaczorek
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Transfer Matrices ◽  
Realization Problem ◽  
New Approach ◽  
Numerical Examples ◽  
Time Linear

Abstract A new approach to the realization problem for fractional discrete-time linear systems is proposed. A procedure for computation of fractional realizations of given transfer matrices is presented and illustrated by numerical examples.

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