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On the stable exact model matching problem |
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| Authors: | A. I. G. Vardulakis N. Karcanias |
| Affiliation: | Department of Mathematics, Faculty of Sciences, Aristotelian University of Thessaloniki, Thessaloniki, Greece;Control Engineering Centre, School of Electrical Engineering and Applied Physics, The City University, Northampton Square, London EC1V 0HB, England |
| Abstract: | The stable exact model matching problem (SEMMP) is investigated. We state and prove a number of equivalent necessary and sufficient conditions for the existence of proper solutions to the exact model matching problem that are also Ω-stable, i.e. have no poles inside a symmetric ‘forbidden’ subset Ω of the finite complex plane . These results can be viewed as the counterpart of the results in [3] and [9] for the case of the ring of proper and Ω-stable rational functions. |
| Keywords: | Linear systems Multivariable systems Stable exact model matching Proper and stable inverses |
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