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On a realization method for discrete-time linear systems
Affiliation:2. Universidad Simón Bolívar, Dpto. Procesos y Sistemas, Sartenejas, Baruta, Edo., Miranda, P.O. Box 80659, Caracas 1081A, Venezuela;3. Centro de Ingeniería de Sistemas, Instituto de Ingeniería (on leave from IVIC), P.O. Box 40200, Caracas 1040A, Venezuela;1. Faculty of Computers and Information, Cairo University, Egypt;2. Faculty of Computer Studies, Arab Open University, Egypt;3. Faculty of Computers and Information, Beni-Suef University, Egypt;4. Faculty of Mathematics and Computer Science, Babes-Bolyai University, Romania;1. Ministry of Education Key Laboratory of Silviculture and Conservation, Beijing Forestry University, Beijing, China;2. New Zealand Institute for Plant & Food Research Ltd, Fitzherbert Science Centre, Palmerston North, New Zealand;3. Forest, Rangeland and Fire Sciences, 875 Perimeter Dr., MS 1133, University of Idaho, Moscow, ID 83844-1133, USA;4. New Zealand Institute for Plant & Food Research Ltd, Private Bag, Christchurch, New Zealand;5. School of Ecology and Environment, Inner Mongolia University, Hohhot, China;6. State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research (IWHR), Beijing, China;7. Irrigation and Crop Ecophysiology Group, IRNAS-CSIC, Avenida Reina Mercedes, 10, 41080-Sevilla, Spain
Abstract:An algorithm to obtain the minimum state-space realization of a linear multivariable system, based on its parametric input-output model, is presented. A special canonic form for the state-space representation is used, which guarantees the uniqueness of the derived relationships between this representation and the input-output form.
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