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Equivalence and reduction of delay-differential systems

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Boudellioua M. S.

International Journal of Applied Mathematics and Computer Science

2007

tom 17

nr 1

15-22

A new direct method is presented which reduces a given high-order representation of a control system with delays to a first-order form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann's strict system equivalence. This type of system equivalence leaves the transfer function and other relevant structural properties of the original system invariant.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Boudellioua M. S.

1 2007

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Equivalence and reduction of delay-differential systems