Research Initiation:  Structural Properties of Nonlinear    Systems with Applications to Their Control
{'Code': '07010000', 'Directorate': {'Abbreviation': 'ENG', 'LongName': 'Directorate For Engineering'}, 'Division': {'Abbreviation': 'ECCS', 'LongName': 'Div Of Electrical, Commun & Cyber Sys'}}
{'SignBlockName': 'Kristen M. Biggar, N-BioS', 'PO_EMAI': None, 'PO_PHON': None}
System models are based on physical principles, laws, and simplifying           assumptions.  These models often possess specific structural                    characteristics which could be exploited when the system is analyzed.           Two of these characteristics are considered in this research.  The              first concerns the study of systems which possess symmetries.  The              classical notion of symmetry in Hamiltonian systems is extended to              systems with inputs, which are of interest to control engineers.  This          research will provide further information on the structure of systems           with symmetries and will make direct use of this in resolving certain           optimization problems.  The second topic deals with a geometric basis           for the study of discrete time systems and focuses on the study of              invariant distributions for such a class of systems.  These                     distributions are closely linked to the classical notion of a subsystem         and induce local decompositions of the system.  As such, they give a            powerful tool for the study of various decoupling problems in nonlinear         discrete time systems.  Geometric methods are applied consistently to           obtain structural information about nonlinear systems, as characterized         by the presence of symmetries or invariant distributions.  This                 information is then used to resolve certain control problems in both            the continuous and discrete time domains.
{'FirstName': 'Jessy', 'LastName': 'Grizzle', 'PI_MID_INIT': 'W', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Jessy W Grizzle', 'EmailAddress': 'grizzle@umich.edu', 'NSF_ID': '000396941', 'StartDate': '05/01/1985', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Illinois at Urbana-Champaign', 'CityName': 'URBANA', 'ZipCode': '618013620', 'PhoneNumber': '2173332187', 'StreetAddress': '506 S WRIGHT ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '13', 'CONGRESS_DISTRICT_ORG': 'IL13', 'ORG_UEI_NUM': 'Y8CWNJRCNN91', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF ILLINOIS', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '145400', 'Text': 'SYSTEMS THEORY'}
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