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1
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A realization problem for positive continuoustime systems with reduced numbers of delays

100%
Kaczorek T.
International Journal of Applied Mathematics and Computer Science
|
2006
|
tom 16
|
nr 3
325-331
EN
A realization problem for positive, continuous-time linear systems with reduced numbers of delays in state and in control is formulated and solved. Sufficient conditions for the existence of positive realizations with reduced numbers of delays of a given proper transfer function are established. A procedure for the computation of positive realizations with reduced numbers of delays is presented and illustrated by an example.
2
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Realization problem for positive multivariable discretetime linear systems with delays in the state vector and inputs

100%
Kaczorek T.
International Journal of Applied Mathematics and Computer Science
|
2006
|
tom 16
|
nr 2
169-174
EN
The realization problem for positive multivariable discrete-time systems with delays in the state and inputs is formulated and solved. Conditions for its solvability and the existence of a minimal positive realization are established. A procedure for the computation of a positive realization of a proper rational matrix is presented and illustrated with examples.
3
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Realization problem for a class of positive continuous-time systems with delays

100%
Kaczorek T.
International Journal of Applied Mathematics and Computer Science
|
2005
|
tom 15
|
nr 4
447-453
EN
The realization problem for a class of positive, continuous-time linear SISO systems with one delay is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for the computation of positive minimal realizations is presented and illustrated by an example.
4
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Minimal realization for positive multivariable linear systems with delay

100%
Kaczorek T., Busłowicz M.
International Journal of Applied Mathematics and Computer Science
|
2004
|
tom 14
|
nr 2
181-187
EN
The realization problem for positive multivariable discrete-time systems with one time delay is formulated and solved. Conditions for the solvability of the realization problem are established. A procedure for the computation of a minimal positive realization of a proper rational matrix is presented and illustrated by an example.
5
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Positive partial realization problem for linear discrete-time systems

86%
Kaczorek T.
International Journal of Applied Mathematics and Computer Science
|
2007
|
tom 17
|
nr 2
165-171
EN
A 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.
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