{"title":"Static decentralized team problems: Sufficient conditions, algorithms, and the exponential cost criterion","authors":"J. Krainak, J. Speyer, S. Marcus","doi":"10.1109/CDC.1980.271991","DOIUrl":null,"url":null,"abstract":"The stationary conditions of Radner are shown under relaxed conditions to be sufficient for the global optimum of the static team problem with convex cost. This extension of Radner's theorem establishes the global optimality of the optimal affine laws for the exponential of a quadratic performance index. A formulation of the team problem as a constrained parameter optimization problem simplifies the derivation of the necessary conditions for optimal affine team laws. The solution of this constrained problem expresses the optimal decentralized team control law as an explicit projection of the optimal centralized law for both the quadratic and the exponential of a quadratic performance indices.","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1980.271991","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The stationary conditions of Radner are shown under relaxed conditions to be sufficient for the global optimum of the static team problem with convex cost. This extension of Radner's theorem establishes the global optimality of the optimal affine laws for the exponential of a quadratic performance index. A formulation of the team problem as a constrained parameter optimization problem simplifies the derivation of the necessary conditions for optimal affine team laws. The solution of this constrained problem expresses the optimal decentralized team control law as an explicit projection of the optimal centralized law for both the quadratic and the exponential of a quadratic performance indices.