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Decoupling zeros of positive continuous-time linear systems

Kaczorek T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2013

Vol. 61, nr 3

557--562

Necessary and sufficient conditions for the reachability and observability of the positive continuous-time linear systems are established. Definitions of the input-decoupling zeros, output-decoupling zeros and input-output decoupling zeros are proposed. Some properties of the decoupling zeros are discussed.

Decoupling zeros of positive electrical circuits

Kaczorek T.

Archives of Electrical Engineering

2013

Vol. 62, nr 4

553--568

Necessary and sufficient conditions for the reachability and observability of the positive electrical circuits composed of resistors, coils, condensators and voltage sources are established. Definitions of the input-decoupling zeros, output-decoupling zeros and input-output decoupling zeros of the positive electrical circuits are proposed. Some properties of the decoupling zeros of positive electrical circuits are discussed.

On some characterization of invariant and decoupling zeros of singular systems

Tokarzewski J.

Archives of Control Sciences

1998

Vol. 7, no. 3/4

145-159

In this paper a geometric characterization of invariant and decoupling zeros of a generalized state-space model described by the matrix 5-tuple (E,A,B,C,D), where E is singular but the pencil sE-A is regular, is presented. These zeros are characterized as invariant zeros of an appropriate linear system S(A,B,C,D). Several numerical examples are included to illustrate the proposed results as well as to discuss different definitions of zeros.