POLISH ACADEMY of SCIENCES
TECHNICAL SCIENCES
Biocybernetics, Bioengineering and Biotechnology
| BULLETIN
of the
POLISH ACADEMY of SCIENCES TECHNICAL SCIENCES |
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| Volume
53, Issue 3, September 2005
Biocybernetics, Bioengineering and Biotechnology |
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| Aims&Scope, Subscription | Editors | Authors' guide | Vol 53-3 | mirror: http://fluid.ippt.gov.pl/~bulletin/ |
| pp 293 - 298 |
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Positive minimal realizations for singular discrete-time systems with delays in state and delays in control |
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| T. KACZOREK |
| 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 that 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 non-negative and of the polynomial d(z) are non-positive except the leading one, which should be positive. A procedure for computation of the positive (minimal) realization of the transfer function is proposed and illustrated by an example. |
| Keywords: |
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positive (minimal) realization, singular discrete-time systems, systems with delays, control |
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| Aims&Scope, Subscription | Editors | Authors' guide | Vol 53-3 |
| Copyright
- Bulletin of the Polish Academy of Sciences: Technical Sciences
4 July 2005, site prepared by KZ |
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