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Existence and determination of the set of Metzler matrices for given stable polynomials

100%

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2012

tom 22

nr 2

389-399

The problem of the existence and determination of the set of Metzler matrices for given stable polynomials is formulated and solved. Necessary and sufficient conditions are established for the existence of the set of Metzler matrices for given stable polynomials. A procedure for finding the set of Metzler matrices for given stable polynomials is proposed and illustrated with numerical examples.

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

86%

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.

2 2012

Wyniki wyszukiwania

Existence and determination of the set of Metzler matrices for given stable polynomials

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