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2 Kaczorek T.

2 2007

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Determination of Singular Positive Realization of Improper Transfer Matrices of 2D Linear Systems

Kaczorek T.

Journal of Applied Computer Science

2007

Vol. 15, nr 2

83-104

A new method for determination of singular positive realization of given improper transfer matrices of 2D linear systems is proposed. Necessary and sufficient conditions for the positivity of 2D singular models are established. It is shown that there exists a singular positive realization of a given improper transfer matrix. The procedure is illustrated by a numerical example.

Computation of realizations composed of dynamic and static parts of improper transfer matrices

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2007

Vol. 17, no 1

23-25

The problem of computing minimal realizations of a singular system decomposed into a standard dynamical system and a static system of a given improper transfer matrix is formulated and solved. A new notion of the minimal dynamical-static realization is introduced. It is shown that there always exists a minimal dynamical-static realization of a given improper transfer matrix. A procedure for the computation of a minimal dynamical-static realization for a given improper transfer matrix is proposed and illustrated by a numerical example.