Mathematical Sciences: T+H*H Operators in Linear-Quadratic  and H-Infinity Problems
{'Code': '03040100', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
This project focuses on some issues arising in the                          mathematical theory of control problems for linear systems.                      The central theme of this project is an operator of the form                   T + H*H where T is Toeplitz and H is Hankel. The motivation is                  two-fold. First, as previously shown by the principal                           investigator, the linear quadratic optimal control problem has a                T + H*H operator that reveals a lot of structure not identifiable               by conventional means. Secondly, as shown by the investigator,                  the H - infinity design problem alsdo involves a T + H*H                        operator, the largest eigenvalue of which provides the so called                achievable feedback performance, a critical parameter. As such,                 this operator reveals a strange connection between the linear                   quadratic problem and H - infinity problems. This connection will               be investigated along with its spectral and computational                       aspects.                                                                            This research is part of a larger effort conducted in this                  country by theoretical engineers and mathematicians to develop a                unified design methodology for linear control systems with                      robustness requirements on the design. This research combines                   fileds such as systems engineering and operator theory in                       mathematics.
{'FirstName': 'Edmond', 'LastName': 'Jonckheere', 'PI_MID_INIT': 'A', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Edmond A Jonckheere', 'EmailAddress': 'jonckhee@usc.edu', 'NSF_ID': '000455799', 'StartDate': '08/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Southern California', 'CityName': 'LOS ANGELES', 'ZipCode': '90033', 'PhoneNumber': '2137407762', 'StreetAddress': '3720 S FLOWER ST FL 3', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '34', 'CONGRESS_DISTRICT_ORG': 'CA34', 'ORG_UEI_NUM': 'G88KLJR3KYT5', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF SOUTHERN CALIFORNIA', 'ORG_PRNT_UEI_NUM': None}
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[{'Code': '126600', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '145400', 'Text': 'SYSTEMS THEORY'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8703954.xml'}