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On the synthesis of general systems

dc.contributor.authorWeintraub, Roy E.
dc.contributor.authorMakridakis, Spyros
dc.date.accessioned2015-12-08T13:28:10Z
dc.date.available2015-12-08T13:28:10Z
dc.date.issued1971
dc.identifier.issn0072-0798
dc.identifier.urihttp://hdl.handle.net/11728/6404
dc.description.abstractIn Part I, we extended the work of Ashby [1,2] to develop an analytical framework for determining the relation betweén system size and system stability. It was established that, for linear dynamic systems, as the number of state variables increased, the probability that the system would be stable decreased exponentially. For particular classes of systems, with entries (of the matrices) randomly sampled from a universe of entries described by a distribution, the probability of stability of a system of size z could be explicitly obtained; that is, we could make statements like "x% of the matrices representing a system S with characteristics [Aklk e I will be stable matrices."en_UK
dc.language.isoenen_UK
dc.publisherSociety for General Systems Researchen_UK
dc.relation.ispartofseriesGeneral Systems;vol. 16
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en_UK
dc.source.urihttp://www.researchgate.net/profile/Spyros_Makridakis/publication/266601047_On_the_synthesis_of_general_systems._I_The_probability_of_stability/links/54b917d00cf28faced626cfd.pdfen_UK
dc.subjectStability lossen_UK
dc.subjectSystem sizeen_UK
dc.subjectEconomic theoryen_UK
dc.subjectOptimal system sizeen_UK
dc.titleOn the synthesis of general systemsen_UK
dc.title.alternativepart IIen_UK
dc.title.alternativeOptimal system sizeen_UK
dc.typeArticleen_UK


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