{"title":"反向控制过程","authors":"Seiichi Iwamoto","doi":"10.5109/13135","DOIUrl":null,"url":null,"abstract":"A reversal operation for dynamic programming (DP) trans forms a (main) control process to a reversed control process. It is applied to the well known linear equation and quadratic criterion control process and to a terminal control process. Not solving the recursive equation directly, but merely applying the author's Reverse Theorem in DP, we can automatically obtain the solution of the recursive equation for reversed process.","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1980-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"REVERSED CONTROL PROCESSES\",\"authors\":\"Seiichi Iwamoto\",\"doi\":\"10.5109/13135\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A reversal operation for dynamic programming (DP) trans forms a (main) control process to a reversed control process. It is applied to the well known linear equation and quadratic criterion control process and to a terminal control process. Not solving the recursive equation directly, but merely applying the author's Reverse Theorem in DP, we can automatically obtain the solution of the recursive equation for reversed process.\",\"PeriodicalId\":287765,\"journal\":{\"name\":\"Bulletin of Mathematical Statistics\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1980-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of Mathematical Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5109/13135\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Mathematical Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5109/13135","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A reversal operation for dynamic programming (DP) trans forms a (main) control process to a reversed control process. It is applied to the well known linear equation and quadratic criterion control process and to a terminal control process. Not solving the recursive equation directly, but merely applying the author's Reverse Theorem in DP, we can automatically obtain the solution of the recursive equation for reversed process.
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