Mathematical Sciences: On the Existence of Optimal Solutionsfor Infinite Horizon Hereditary Control 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}
Infinite horizon optimal control problems arise naturally in the           study of models of economic growth.  These models consist of                    minimizing an integral functional with an infinite upper limit.  The            admissible pairs of control functions and state functions must satisfy          a differential equation, state constraints and control constraints.             Given the admissible pair, the functional need not be finite, and as a          consequence, the traditional concept of minimum becomes meaningless.            To circumvent this difficulty, a variety of weaker notions of                   optimality have been introduced.                                                     The investigator has established the existence of these weaker             notions of optimality under minimal convexity hypotheses for ordinary           differential equation constraints.  He now proposes to generalize               these results for the class of differential equations with delays               called hereditary differential systems.  The difficulties encountered           there are greater than in the case of ordinary differential equations,          but the models of this type may be more realistic for problems                  involving resource management and economics.                                         Research in optimal control problems has been an essential part            of control theory, optimization and calculus of variations.  Results            of such research are often interesting for people interested in                 trajectory optimization for space vehicles and for scientists                   interested in resource management.
{'FirstName': 'Dean', 'LastName': 'Carlson', 'PI_MID_INIT': 'A', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Dean A Carlson', 'EmailAddress': 'dcarlson@math.utoledo.edu', 'NSF_ID': '000225361', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Southern Illinois University at Carbondale', 'CityName': 'CARBONDALE', 'ZipCode': '629014302', 'PhoneNumber': '6184534540', 'StreetAddress': '900 S NORMAL AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '12', 'CONGRESS_DISTRICT_ORG': 'IL12', 'ORG_UEI_NUM': 'Y28BEBJ4MNU7', 'ORG_LGL_BUS_NAME': 'BOARD OF TRUSTEES OF SOUTHERN ILLINOIS UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8700706.xml'}