{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/69406"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/69406","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Simultaneous Design of Communication Strategies and Control Policies in Stochastic Systems","abstract":"We consider the problem of simultaneously designing communication strategies and control policies in decentralized stochastic systems. Such problems are difficult to solve, mainly because of the nonclassical nature of their information structure. We have identified classes of such problems with linear dynamics, quadratic loss functionals and Gaussian statistics for which the optimality of linear strategies can be established. The general approach used consists of first finding a lower bond on the cost, and then constructing joint strategies that attain this lower bound. For some instances of the cases where linear strategies fail to provide globally optimal solutions, explicit nonlinear strategies are obtained that demonstrate the inferiority of linear designs. The problems studied in this thesis can be viewed as important prototype problems, which are essential building blocks for a general theory of multistage distributed decision making under nonclassical information, and possibly partial statistical description. We have obtained some fundamental results for two-stage stochastic teams, and have made contributions towards the development of a general theory of multistage (finite and infinite horizon) stochastic control and team problems with nonclassical information, in which the control (decision) variable affects not only the state trajectory but also the quality of information that is available to the decision makers.","abstract_html":"We consider the problem of simultaneously designing communication strategies and control policies in decentralized stochastic systems. Such problems are difficult to solve, mainly because of the nonclassical nature of their information structure. We have identified classes of such problems with linear dynamics, quadratic loss functionals and Gaussian statistics for which the optimality of linear strategies can be established. The general approach used consists of first finding a lower bond on the cost, and then constructing joint strategies that attain this lower bound. For some instances of the cases where linear strategies fail to provide globally optimal solutions, explicit nonlinear strategies are obtained that demonstrate the inferiority of linear designs. The problems studied in this thesis can be viewed as important prototype problems, which are essential building blocks for a general theory of multistage distributed decision making under nonclassical information, and possibly partial statistical description. We have obtained some fundamental results for two-stage stochastic teams, and have made contributions towards the development of a general theory of multistage (finite and infinite horizon) stochastic control and team problems with nonclassical information, in which the control (decision) variable affects not only the state trajectory but also the quality of information that is available to the decision makers.","abstract_has_math":false,"creators":["Bansal, Rajesh C."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Basar, Tamer"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-15T19:05:37Z","date_published":"2014-12-15T19:05:37Z","updated_at":"2026-07-22T22:26:00Z","subjects":["Engineering, Electronics and Electrical"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8908617"],"render_values":[{"text":"(UMI)AAI8908617","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/69406","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Basar, Tamer"]},{"key":"dc:creator","label":"Author","values":["Bansal, Rajesh C."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-15T19:05:37Z","10000-01-01","1988"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Engineering, Electronics and Electrical"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/69406","(UMI)AAI8908617"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We consider the problem of simultaneously designing communication strategies and control policies in decentralized stochastic systems. Such problems are difficult to solve, mainly because of the nonclassical nature of their information structure. We have identified classes of such problems with linear dynamics, quadratic loss functionals and Gaussian statistics for which the optimality of linear strategies can be established. The general approach used consists of first finding a lower bond on the cost, and then constructing joint strategies that attain this lower bound. For some instances of the cases where linear strategies fail to provide globally optimal solutions, explicit nonlinear strategies are obtained that demonstrate the inferiority of linear designs. The problems studied in this thesis can be viewed as important prototype problems, which are essential building blocks for a general theory of multistage distributed decision making under nonclassical information, and possibly partial statistical description. We have obtained some fundamental results for two-stage stochastic teams, and have made contributions towards the development of a general theory of multistage (finite and infinite horizon) stochastic control and team problems with nonclassical information, in which the control (decision) variable affects not only the state trajectory but also the quality of information that is available to the decision makers.","Made available in DSpace on 2014-12-15T19:05:37Z (GMT). No. of bitstreams: 1 8908617.pdf: 5318876 bytes, checksum: f75b6686471ad6d03680cba4e61e9e25 (MD5) Previous issue date: 1988","Embargo set by: Seth Robbins for item 69572 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","216 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1988."]},{"key":"dc:title","label":"Title","values":["Simultaneous Design of Communication Strategies and Control Policies in Stochastic Systems"]}]}],"canonical_facts":{"dc:contributor":["Basar, Tamer"],"dc:creator":["Bansal, Rajesh C."],"dc:date":["2014-12-15T19:05:37Z","10000-01-01","1988"],"dc:description":["We consider the problem of simultaneously designing communication strategies and control policies in decentralized stochastic systems. Such problems are difficult to solve, mainly because of the nonclassical nature of their information structure. We have identified classes of such problems with linear dynamics, quadratic loss functionals and Gaussian statistics for which the optimality of linear strategies can be established. The general approach used consists of first finding a lower bond on the cost, and then constructing joint strategies that attain this lower bound. For some instances of the cases where linear strategies fail to provide globally optimal solutions, explicit nonlinear strategies are obtained that demonstrate the inferiority of linear designs. The problems studied in this thesis can be viewed as important prototype problems, which are essential building blocks for a general theory of multistage distributed decision making under nonclassical information, and possibly partial statistical description. We have obtained some fundamental results for two-stage stochastic teams, and have made contributions towards the development of a general theory of multistage (finite and infinite horizon) stochastic control and team problems with nonclassical information, in which the control (decision) variable affects not only the state trajectory but also the quality of information that is available to the decision makers.","Made available in DSpace on 2014-12-15T19:05:37Z (GMT). No. of bitstreams: 1 8908617.pdf: 5318876 bytes, checksum: f75b6686471ad6d03680cba4e61e9e25 (MD5) Previous issue date: 1988","Embargo set by: Seth Robbins for item 69572 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","216 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1988."],"dc:identifier":["http://hdl.handle.net/2142/69406","(UMI)AAI8908617"],"dc:subject":["Engineering, Electronics and Electrical"],"dc:title":["Simultaneous Design of Communication Strategies and Control Policies in Stochastic Systems"],"dc:type":["text"],"thesis:degree_discipline":["Electrical Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:00Z"}