{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3817"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3817","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Condições de otimalidade para sistemas discretos no tempo com controle limitado pelo Estado","abstract":"Study of discrete optimal control problems in which the control is restricted by the state of the system. Initially, a rigorous self contained developnent of necessary and sufficient conditions is given through dynamic programming. This is followed by a developnent of the discrete maximum principle, presented in the manner of Cannon, Cullum and Polak. [6]. Examples are given to show that the maximurn principle usually does not hold in the case of state constrained controls and an \"inclusion hypotheses\" is given, demonstrating a class of problems where the usual maximum principle is valid. The Fritz John Theorem is then applied to obtain necessary conditions for problems with oonstraints of the form R(x,u) ≤ 0 and a modified maximurn principle is defined for this class. It is shown that linear positive systems of a type frequently encountered in economic systems satisfy the modified maximum principle. A number of detailed examples are given throug out the text.","abstract_html":"Study of discrete optimal control problems in which the control is restricted by the state of the system. Initially, a rigorous self contained developnent of necessary and sufficient conditions is given through dynamic programming. This is followed by a developnent of the discrete maximum principle, presented in the manner of Cannon, Cullum and Polak. [6]. Examples are given to show that the maximurn principle usually does not hold in the case of state constrained controls and an "inclusion hypotheses" is given, demonstrating a class of problems where the usual maximum principle is valid. The Fritz John Theorem is then applied to obtain necessary conditions for problems with oonstraints of the form R(x,u) ≤ 0 and a modified maximurn principle is defined for this class. It is shown that linear positive systems of a type frequently encountered in economic systems satisfy the modified maximum principle. A number of detailed examples are given throug out the text.","abstract_has_math":false,"creators":["Stockert, Etzel Ritter Von"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Leake, Richard Jeffrey"],"committee_chairs":[],"committee_members":[],"year":1973,"date_issued":"1973-03","date_published":"1973-03","updated_at":"2026-07-24T01:16:10Z","subjects":["Sistemas de controle","Equações diferenciais parciais","Teoria do controle","Otimização matemática"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3817","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Leake, Richard Jeffrey"]},{"key":"dc:creator","label":"Author","values":["Stockert, Etzel Ritter Von"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-04-03T16:33:27Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:05:25Z"]},{"key":"dc:date.issued","label":"Date","values":["1973-03"]},{"key":"dc:publisher","label":"Institution","values":["Universidade Federal do Rio de Janeiro"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"]},{"key":"dc:type","label":"Dc Type","values":["Dissertação"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Sistemas de controle","Equações diferenciais parciais","Teoria do controle","Otimização matemática"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["por"]},{"key":"dc:rights","label":"Dc Rights","values":["Acesso Aberto"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11422/3817"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Study of discrete optimal control problems in which the control is restricted by the state of the system. Initially, a rigorous self contained developnent of necessary and sufficient conditions is given through dynamic programming. This is followed by a developnent of the discrete maximum principle, presented in the manner of Cannon, Cullum and Polak. [6]. Examples are given to show that the maximurn principle usually does not hold in the case of state constrained controls and an \"inclusion hypotheses\" is given, demonstrating a class of problems where the usual maximum principle is valid. The Fritz John Theorem is then applied to obtain necessary conditions for problems with oonstraints of the form R(x,u) ≤ 0 and a modified maximurn principle is defined for this class. It is shown that linear positive systems of a type frequently encountered in economic systems satisfy the modified maximum principle. A number of detailed examples are given throug out the text."]},{"key":"dc:title","label":"Title","values":["Condições de otimalidade para sistemas discretos no tempo com controle limitado pelo Estado"]}]}],"canonical_facts":{"dc:contributor.advisor":["Leake, Richard Jeffrey"],"dc:creator":["Stockert, Etzel Ritter Von"],"dc:date.accessioned":["2018-04-03T16:33:27Z"],"dc:date.available":["2026-05-16T03:05:25Z"],"dc:date.issued":["1973-03"],"dc:description.abstract":["Study of discrete optimal control problems in which the control is restricted by the state of the system. Initially, a rigorous self contained developnent of necessary and sufficient conditions is given through dynamic programming. This is followed by a developnent of the discrete maximum principle, presented in the manner of Cannon, Cullum and Polak. [6]. Examples are given to show that the maximurn principle usually does not hold in the case of state constrained controls and an \"inclusion hypotheses\" is given, demonstrating a class of problems where the usual maximum principle is valid. The Fritz John Theorem is then applied to obtain necessary conditions for problems with oonstraints of the form R(x,u) ≤ 0 and a modified maximurn principle is defined for this class. It is shown that linear positive systems of a type frequently encountered in economic systems satisfy the modified maximum principle. A number of detailed examples are given throug out the text."],"dc:identifier.uri":["http://hdl.handle.net/11422/3817"],"dc:language":["por"],"dc:publisher":["Universidade Federal do Rio de Janeiro"],"dc:publisher.department":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"],"dc:rights":["Acesso Aberto"],"dc:subject":["Sistemas de controle","Equações diferenciais parciais","Teoria do controle","Otimização matemática"],"dc:title":["Condições de otimalidade para sistemas discretos no tempo com controle limitado pelo Estado"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:10Z"}