Robust Stability:  System-Theoretic Approach
{'Code': '07010000', 'Directorate': {'Abbreviation': 'ENG', 'LongName': 'Directorate For Engineering'}, 'Division': {'Abbreviation': 'ECCS', 'LongName': 'Div Of Electrical, Commun & Cyber Sys'}}
{'SignBlockName': 'Radhakisan Baheti', 'PO_EMAI': None, 'PO_PHON': None}
This research concerns a system-theoretic approach to determine         the stability (assessed in terms of the strict Hurwitz property) of             interval polynomials (i.e. those having coefficient uncertainties               which vary independently over specified ranges) having real or complex          coefficients. The underlying procedure not only proves the recent               results of Kharitonov but, more importantly, offer potentialities for           generalization to the bivariate and, subsequently, the multivariate             cases for both continuous-time/space and discrete-time/space dynamical          systems.  This research is important because multidimensional feedback          systems have been proposed for various purposes such as iterative               image processing and image restoration.  Such image processing systems          that contain feedback loops are sometimes known to oscillate in space           and time and these undesirable oscillations can only be avoided if              proper stability conditions are imposed on the feedback systems,                especially subject to the practical requirement that the coefficients           of the characteristic polynomial are each bounded from above and below          instead of being known with certainty.  The first part of this                  research will be concerned with establishing conditions to guarantee            that the zero-set of multivariate interval polynomials belong to                commonly specified polydomains of interest.  Second, the scopes for             adapting the system-theoretic approach developed to handle the                  interval or "boxed" type of coefficient uncertainties to the case when          dependencies in the variation of the polynomial coefficient set are             allowed, will be investigated.  Finally, the counterpart of the                 results derived in the first and, possibly, the second phase of                 research which exist in the case of more general polydomains will be            investigated and research into the stability of robust matrix                   polynomials will be initiated. In summary, the aim of this research is          to develop a system-theoretic approach allowing the determination of            the stability of interval polynomials (i.e. those having coefficient            uncertainties which vary over specified ranges).  This research has             potential applications to image processing and restoration techniques.
{'FirstName': 'Nirmal', 'LastName': 'Bose', 'PI_MID_INIT': 'K', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Nirmal K Bose', 'EmailAddress': 'nkb1@psu.edu', 'NSF_ID': '000177635', 'StartDate': '08/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Pennsylvania State Univ University Park', 'CityName': 'UNIVERSITY PARK', 'ZipCode': '168021503', 'PhoneNumber': '8148651372', 'StreetAddress': '201 OLD MAIN', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Pennsylvania', 'StateCode': 'PA', 'CONGRESSDISTRICT': '15', 'CONGRESS_DISTRICT_ORG': 'PA15', 'ORG_UEI_NUM': 'NPM2J7MSCF61', 'ORG_LGL_BUS_NAME': 'THE PENNSYLVANIA STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1454', 'Text': 'SYSTEMS THEORY'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8703215.xml'}