{"title":"用时滞积分方程描述的连续多维动力系统的灵敏度系数和灵敏度泛函","authors":"A. Rouban","doi":"10.1109/APEIE.2000.913105","DOIUrl":null,"url":null,"abstract":"The variational method of calculation of sensitivity coefficients (components of vector gradient from quality function to constant parameters) and sensitivity functionals (connecting first variation of quality function with variations of variable parameters) for multivariate nonlinear dynamic systems, described by continuous Volterra integral equations of the second order with delay time, is developed. The basis of calculation is the decision of corresponding integral conjugate equations for Lagrange multipliers in reverse order (on time).","PeriodicalId":184476,"journal":{"name":"2000 5th International Conference on Actual Problems of Electronic Instrument Engineering Proceedings. APEIE-2000. Devoted to the 50th Anniversary of Novosibirsk State Technical University. Vol.1 (Cat","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Coefficients and functionals of sensitivity for continuous many-dimensional dynamic systems described by integral equations with delay time\",\"authors\":\"A. Rouban\",\"doi\":\"10.1109/APEIE.2000.913105\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The variational method of calculation of sensitivity coefficients (components of vector gradient from quality function to constant parameters) and sensitivity functionals (connecting first variation of quality function with variations of variable parameters) for multivariate nonlinear dynamic systems, described by continuous Volterra integral equations of the second order with delay time, is developed. The basis of calculation is the decision of corresponding integral conjugate equations for Lagrange multipliers in reverse order (on time).\",\"PeriodicalId\":184476,\"journal\":{\"name\":\"2000 5th International Conference on Actual Problems of Electronic Instrument Engineering Proceedings. APEIE-2000. Devoted to the 50th Anniversary of Novosibirsk State Technical University. Vol.1 (Cat\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2000 5th International Conference on Actual Problems of Electronic Instrument Engineering Proceedings. APEIE-2000. Devoted to the 50th Anniversary of Novosibirsk State Technical University. Vol.1 (Cat\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APEIE.2000.913105\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2000 5th International Conference on Actual Problems of Electronic Instrument Engineering Proceedings. APEIE-2000. Devoted to the 50th Anniversary of Novosibirsk State Technical University. Vol.1 (Cat","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APEIE.2000.913105","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Coefficients and functionals of sensitivity for continuous many-dimensional dynamic systems described by integral equations with delay time
The variational method of calculation of sensitivity coefficients (components of vector gradient from quality function to constant parameters) and sensitivity functionals (connecting first variation of quality function with variations of variable parameters) for multivariate nonlinear dynamic systems, described by continuous Volterra integral equations of the second order with delay time, is developed. The basis of calculation is the decision of corresponding integral conjugate equations for Lagrange multipliers in reverse order (on time).