Multidimensional Behavioral Complexes

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dc.contributor.authorBoquet, Grant Michaelen
dc.contributor.committeechairBall, Joseph A.en
dc.contributor.committeememberHaskell, Peter E.en
dc.contributor.committeememberLinnell, Peter A.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:32:48Zen
dc.date.adate2008-04-11en
dc.date.available2014-03-14T20:32:48Zen
dc.date.issued2008-03-19en
dc.date.rdate2008-04-11en
dc.date.sdate2008-03-23en
dc.description.abstractIn a preprint by J. Wood, V. Lomadze, and E. Rogers, chains and boundary maps were defined for 2-D discrete behavioral systems. The corresponding homology groups were studied and tied to trajectory properties. Indeed, the homology groups encapsulated the concepts of autonomy, controllability, and signal restriction. We shall present an extension of their work to n-D discrete behavioral systems. In particular, we shall streamline the construction of the chain groups, the boundary maps between chains, and the study of the resultant homology groups. While constructing this machinery, we shall point out intrinsic flaws in their approach that make extension of their results less systematic. Finishing remarks shall be made on using the homology groups to determine system properties and potentially classify forms of controllability.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-03232008-175232en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-03232008-175232/en
dc.identifier.urihttp://hdl.handle.net/10919/31528en
dc.publisherVirginia Techen
dc.relation.haspartmain.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectmultidimensional systems theoryen
dc.subjecthomologyen
dc.subjectBehavioral systems theoryen
dc.titleMultidimensional Behavioral Complexesen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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