{"title":"电路设计准最优算法的结构研究","authors":"A. Zemliak","doi":"10.37394/23201.2022.21.18","DOIUrl":null,"url":null,"abstract":"The formulation of the process of analog system design has been done on the basis of the control theory application as the problem of a special functional minimization. This approach generalizes the design process and produces the different design trajectories inside the same optimization procedure. Numerical examples show that the potential computer time gain of the optimal design strategy with respect to the traditional design strategy increases when the size and the complexity of the system increase. Some properties of an additional acceleration effect of the design process were analyzed. The special selection of the optimization process start point provides the acceleration effect with a great probability. The positions of the optimal switch points of the control vector were found on the basis of the analysis of the special Lyapunov function of the design process. The combination of the acceleration effect with the start point preliminary selection and the optimal switch points of the control vector serve as the principal ideas to the time-optimal design algorithm construction.","PeriodicalId":376260,"journal":{"name":"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS","volume":"142 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Structure of a Quasi-Optimal Algorithm for Circuit Designing\",\"authors\":\"A. Zemliak\",\"doi\":\"10.37394/23201.2022.21.18\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The formulation of the process of analog system design has been done on the basis of the control theory application as the problem of a special functional minimization. This approach generalizes the design process and produces the different design trajectories inside the same optimization procedure. Numerical examples show that the potential computer time gain of the optimal design strategy with respect to the traditional design strategy increases when the size and the complexity of the system increase. Some properties of an additional acceleration effect of the design process were analyzed. The special selection of the optimization process start point provides the acceleration effect with a great probability. The positions of the optimal switch points of the control vector were found on the basis of the analysis of the special Lyapunov function of the design process. The combination of the acceleration effect with the start point preliminary selection and the optimal switch points of the control vector serve as the principal ideas to the time-optimal design algorithm construction.\",\"PeriodicalId\":376260,\"journal\":{\"name\":\"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS\",\"volume\":\"142 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-07-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/23201.2022.21.18\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23201.2022.21.18","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Structure of a Quasi-Optimal Algorithm for Circuit Designing
The formulation of the process of analog system design has been done on the basis of the control theory application as the problem of a special functional minimization. This approach generalizes the design process and produces the different design trajectories inside the same optimization procedure. Numerical examples show that the potential computer time gain of the optimal design strategy with respect to the traditional design strategy increases when the size and the complexity of the system increase. Some properties of an additional acceleration effect of the design process were analyzed. The special selection of the optimization process start point provides the acceleration effect with a great probability. The positions of the optimal switch points of the control vector were found on the basis of the analysis of the special Lyapunov function of the design process. The combination of the acceleration effect with the start point preliminary selection and the optimal switch points of the control vector serve as the principal ideas to the time-optimal design algorithm construction.