N. Smirnov, T. Smirnova, M. Smirnova, M. N. Smirnov
{"title":"差分动态投入产出模型","authors":"N. Smirnov, T. Smirnova, M. Smirnova, M. N. Smirnov","doi":"10.21638/11701/spbu10.2023.105","DOIUrl":null,"url":null,"abstract":"In this work, the object of study is the economy of the region. To describe it, a regular method for constructing difference input - output dynamic models is proposed. This approach involves modeling not only the sphere of production, but also the sphere of consumption. To do this, the vector of phase variables includes the gross domestic product. The variability of the model consists in the ability to take into account various macroeconomic parameters depending on the ultimate goals of analysis and control of macroeconomic trends. It is shown that the dynamics of the economy with direct investment in various sectors of the economy is described by linear controlled difference systems. If there is a need to take into account other macroeconomic parameters that increase the sensitivity of the model to managerial influences, then this leads to nonlinear difference systems of various types. In the final part of the article, a scenario approach for the development of investment projects is described. This approach is based on the principles of constructing program controls and stabilizing the corresponding program movements of a controlled difference system.","PeriodicalId":43738,"journal":{"name":"Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya","volume":"73 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Difference dynamic input-output models\",\"authors\":\"N. Smirnov, T. Smirnova, M. Smirnova, M. N. Smirnov\",\"doi\":\"10.21638/11701/spbu10.2023.105\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, the object of study is the economy of the region. To describe it, a regular method for constructing difference input - output dynamic models is proposed. This approach involves modeling not only the sphere of production, but also the sphere of consumption. To do this, the vector of phase variables includes the gross domestic product. The variability of the model consists in the ability to take into account various macroeconomic parameters depending on the ultimate goals of analysis and control of macroeconomic trends. It is shown that the dynamics of the economy with direct investment in various sectors of the economy is described by linear controlled difference systems. If there is a need to take into account other macroeconomic parameters that increase the sensitivity of the model to managerial influences, then this leads to nonlinear difference systems of various types. In the final part of the article, a scenario approach for the development of investment projects is described. This approach is based on the principles of constructing program controls and stabilizing the corresponding program movements of a controlled difference system.\",\"PeriodicalId\":43738,\"journal\":{\"name\":\"Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya\",\"volume\":\"73 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21638/11701/spbu10.2023.105\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21638/11701/spbu10.2023.105","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
In this work, the object of study is the economy of the region. To describe it, a regular method for constructing difference input - output dynamic models is proposed. This approach involves modeling not only the sphere of production, but also the sphere of consumption. To do this, the vector of phase variables includes the gross domestic product. The variability of the model consists in the ability to take into account various macroeconomic parameters depending on the ultimate goals of analysis and control of macroeconomic trends. It is shown that the dynamics of the economy with direct investment in various sectors of the economy is described by linear controlled difference systems. If there is a need to take into account other macroeconomic parameters that increase the sensitivity of the model to managerial influences, then this leads to nonlinear difference systems of various types. In the final part of the article, a scenario approach for the development of investment projects is described. This approach is based on the principles of constructing program controls and stabilizing the corresponding program movements of a controlled difference system.
期刊介绍:
The journal is the prime outlet for the findings of scientists from the Faculty of applied mathematics and control processes of St. Petersburg State University. It publishes original contributions in all areas of applied mathematics, computer science and control. Vestnik St. Petersburg University: Applied Mathematics. Computer Science. Control Processes features articles that cover the major areas of applied mathematics, computer science and control.