{"title":"Analysis of Some Special Functions for a Problem of Optimization of Analog Circuits","authors":"Alexander Zemliak","doi":"10.37394/23201.2023.22.12","DOIUrl":"https://doi.org/10.37394/23201.2023.22.12","url":null,"abstract":"Further development of a generalized methodology for optimizing analog circuits is proposed. This methodology is based on the theory of optimal control. We have transformed the problem of minimizing the CPU time needed to optimize the circuit into the classical problem of minimizing the function in optimal control theory. In this case, we represent the process of optimizing the analog circuit as a controlled dynamic system. To analyze the properties of such a system, we propose to use the concept of the Lyapunov function of a dynamical system. The new special functions allow us to predict the CPU time for circuit optimization by analyzing the characteristics of the initial part of the process. It has been established that for any optimization strategy, there is a correlation between the behavior of these functions and the CPU time corresponding to these strategies.","PeriodicalId":485982,"journal":{"name":"WSEAS transactions on circuits","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136063309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Defects Detection in PCB Images by Clustering, Rotation and Distributed Cumulative Histogram","authors":"Roman Melnyk, Roman Kvit","doi":"10.37394/23201.2023.22.11","DOIUrl":"https://doi.org/10.37394/23201.2023.22.11","url":null,"abstract":"The K-means clustering of pixels intensity to segment the PCB image to a binary form, hierarchical clustering and separation of elements on the PCB image, flood-filling of chains for their comparison with the reference ones, three methods of determination of the turn angle for alignment of the board, subtraction formulas, algorithms to rotate the image to its normal position, algorithms to build the image of the distributed cumulative histogram are considered in this paper.","PeriodicalId":485982,"journal":{"name":"WSEAS transactions on circuits","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135351548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Maryna Belova, Volodymyr Denysenko, Svitlana Kartashova, Valerij Kotlyar, Stanislav Mikhailenko
{"title":"Analysis of the Structure of Chaotic Solutions of Differential Equations","authors":"Maryna Belova, Volodymyr Denysenko, Svitlana Kartashova, Valerij Kotlyar, Stanislav Mikhailenko","doi":"10.37394/23201.2023.22.10","DOIUrl":"https://doi.org/10.37394/23201.2023.22.10","url":null,"abstract":"This study deals with the relevant and important area of many fields of mathematics and physics - chaotic systems. Three modified systems of Chua differential equations were considered, and the chaotic structure of their solutions was compared with the structure of solutions of classical Lorentz and Rössler chaotic systems. The following methods were used to achieve the set goal: the Runge-Kutta method, building a phase portrait, determining Lyapunov exponents and noise level, and comparative analysis. A detailed analysis of the structure of chaotic solutions of various differential equations was carried out. It was established that the chaotic solution’s structure depends on the differential equation’s properties and the initial conditions. According to the obtained results, one of the modifications of the Chua system is significantly superior to classical chaotic systems and can be used as a chaos generator. Prospects for further research involve expanding the scope of the study and the generalization of the obtained results for a wider class of systems of differential equations.","PeriodicalId":485982,"journal":{"name":"WSEAS transactions on circuits","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135756281","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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