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2 2007

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Positive realization of 2d general model

Kaczorek T.

Logistyka

2007

nr 3

CD-CD

The positive realization problem for two dimensional (2D) general model is addressed. Sufficient conditions for the existence of a positive realization of a given strictly proper transfer matrix are established. Procedures for computation of a positive realization of a given strictly proper transfer matrix is proposed and illustrated by examples.

State variable diagram methods for determination of positive realizations of 2D systems with delays

Kaczorek T.

Journal of Automation Mobile Robotics and Intelligent Systems

2007

Vol. 1, No. 2

5-12

Realization problem for positive singie-input single-output systems with delays in stale vector and inputs described by the 2D general model is addressed. Sufficient condition for the existence of o positive reaiization are established and a procedurę for finding a positive reaiization for o given proper transfer function is proposed. The procedure is illustrated by a numerical examp!e.