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Positive minimal realizations for singular discrete-time systems with delays in state and delays in control

Kaczorek T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2005

Vol. 53, nr 3

293-298

The positive (minimal) realization problem for a class of singular discrete-time linear single-input, single-output systems with delays in state and delays in control is addressed. Solvability conditions for the positive (minimal) realization problem are established. It is shown lat there exists a positive (minimal) realization of an improper transfer function T( z) = n( z) / d( z) if the coefficients of polynomial n( z) are on-negative and of the polynomial d( z) are non-positive except the leading one, which should be positive. A procedure for computation of le positive (minimal) realization of the transfer function is proposed and illustrated by an example.