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Positive stable realizations of fractional continuous-time linear systems

100%

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2011

tom 21

nr 4

697-702

Conditions for the existence of positive stable realizations with system Metzler matrices for fractional continuous-time linear systems are established. A procedure based on the Gilbert method for computation of positive stable realizations of proper transfer matrices is proposed. It is shown that linear minimum-phase systems with real negative poles and zeros always have positive stable realizations.

A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays

100%

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2012

tom 22

nr 4

897-905

A new modified state variable diagram method is proposed for determination of positive realizations of linear continuoustime systems with delays in state and input vectors. Using the method, it is possible to find a positive realization with reduced numbers of delays for a given transfer matrix. Sufficient conditions for the existence of positive realizations of given proper transfer matrices are established. The proposed method is demonstrated on numerical examples.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

2 Kaczorek T.

1 2012

1 2011

Wyniki wyszukiwania

Positive stable realizations of fractional continuous-time linear systems

A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays