On the Dynamics and Global Stability Characteristics of Adaptive Systems

dc.contributor.authorAdomaitis, Raymond A.en_US
dc.contributor.authorFrouzakis, Christos E.en_US
dc.contributor.authorKevrekidis, Ioannis G.en_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T09:48:56Z
dc.date.available2007-05-23T09:48:56Z
dc.date.issued1991en_US
dc.description.abstractWe consider the dynamics of some representative adaptively- controlled systems and focus on situations where the desired operating point is locally, but not globally, stable. Perturbations which drive the system from the set point are quantified by computing the boundaries separating the basin of attraction of the set point from the basins of attraction of the other, undesirable attractors. The basins are found to sometimes consist of complicated, disconnected structures in phase space. This results from the nonunique reverse-time dynamics often exhibited by these systems and can be studied by considering the behavior of the reverse-time map along the basin boundaries. The effect of noninvertibility on the forward-time dynamical behavior is also explored.en_US
dc.format.extent882474 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/5146
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1991-100en_US
dc.subjectchemical process controlen_US
dc.subjectcomputational complexityen_US
dc.subjectadaptive controlen_US
dc.subjectnonlinear systemsen_US
dc.subjectstabilityen_US
dc.subjectChemical Process Systemsen_US
dc.titleOn the Dynamics and Global Stability Characteristics of Adaptive Systemsen_US
dc.typeTechnical Reporten_US

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