{"title":"离散时间系统的随机可达性:在飞机避碰中的应用","authors":"Oliver Watkins, J. Lygeros","doi":"10.1109/CDC.2003.1272482","DOIUrl":null,"url":null,"abstract":"Methods of approximating reachability probabilities and their possible application to the problem of conflict detection in air traffic control are presented. A general description of stochastic reachability for discrete time systems and an analytical formulation for their solution is given. We then outline the problem of separation assurance in air traffic control and the role of conflict detection within this. A randomized conflict detection algorithm is described in detail and its performance is compared with another conflict detection algorithm.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"47","resultStr":"{\"title\":\"Stochastic reachability for discrete time systems: an application to aircraft collision avoidance\",\"authors\":\"Oliver Watkins, J. Lygeros\",\"doi\":\"10.1109/CDC.2003.1272482\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Methods of approximating reachability probabilities and their possible application to the problem of conflict detection in air traffic control are presented. A general description of stochastic reachability for discrete time systems and an analytical formulation for their solution is given. We then outline the problem of separation assurance in air traffic control and the role of conflict detection within this. A randomized conflict detection algorithm is described in detail and its performance is compared with another conflict detection algorithm.\",\"PeriodicalId\":371853,\"journal\":{\"name\":\"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-12-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"47\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2003.1272482\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2003.1272482","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stochastic reachability for discrete time systems: an application to aircraft collision avoidance
Methods of approximating reachability probabilities and their possible application to the problem of conflict detection in air traffic control are presented. A general description of stochastic reachability for discrete time systems and an analytical formulation for their solution is given. We then outline the problem of separation assurance in air traffic control and the role of conflict detection within this. A randomized conflict detection algorithm is described in detail and its performance is compared with another conflict detection algorithm.