A method of integral manifold is applied to study of multitempo linear on fast variables systems. The use of this method permits us to solve a problem of decomposition of multirate controllable and observable systems. Local controllability and local observability of these systems is investigated. The application of the method is illustrated on example.
The article discusses topical issues and analyzes the problems related to the problem of packing blocks of different sizes in the metric of binary space to solve the problem of optimal placement of two-dimensional objects on the cutting map in order to minimize the cost of cutting them. To solve this kind of problems, it is necessary to resort to the practice of using bioinspired logic based on the behavior of a pack of gray wolves in nature. On this basis, a modified algorithm was developed that allows one to effectively solve the problem of two-dimensional packing, after which the corresponding experiments were carried out to prove its effectiveness. Based on the effectiveness of this method, a software product was developed and implemented using the developed architecture for finding a solution and promising technologies of augmented virtual reality, which allows the result of the algorithm to be displayed on actual smartphones. The main advantages of applying the principles of integration of virtual and augmented reality technologies are presented and described in detail, a detailed overview and analysis of the problems and prospects for solving packaging problems, their types are given. The relevance of research in this work is explained. After that, the main task of this work is explained, which can be formulated as: finding the optimal principle of filling a two-dimensional container with specified objects. Arguments are made that packing problems are not abstract, but many where applicable. Namely, specific examples of in which areas of industry these problems are applied and to whom the algorithms for their solution help. Each type of packaging problem is explained with examples, followed by an explanation of promising augmented and virtual reality technologies. The most important practically significant result of the research of the indicated problem is the developed software and instrumental design platform in the modern programming language Swift. Despite its recent popularity, this language has almost completely supplanted its main competitor Objective-C, and the ability to support plugins such as Vuforia makes it ideal for application development. The developed software product has a simple and intuitive interface, optimized as much as possible for the weakest devices, which allows you to effectively set the variables in the problem and quickly obtain a solution to the problem. The results of the experimental studies performed allow us to state with confidence about the effectiveness of the program, the obtained theoretical estimates of the time complexity and effectiveness of the proposed approaches and algorithms, including the genetic algorithm, which uses the new solution coding mechanism proposed in the work.
Статью рекомендовал к опубликованию д.т.н., профессор Н.И. Витиска.
The paper presents the results of the first version algorithm development for sea ice binary classification by SAR images. To create training, test, and validation samples, we have used 81 images acquired with the Sentinel-1 radar for the area of the Pechora Sea (the south-western part of the Barents Sea) for the 2019–2020 ice period. We conducted the preprocessing procedure for each image aimed at better image quality, noise removal, including gradient noise, and geospatial reference. The marking images was carried out semi-automatically using the K-means clustering algorithm. The result of clustering is a bitmap file with a class number assigned to each pixel. The raster was then vectorized and the expert manually divided the resulting vector polygons into water and ice classes. Validation images were monitored using a set of metrics with the following average result achieved: 0.86 (Jaccard), 0.14 (Binary Crossentropy), 0.90 (Precision), 0.95 (Recall). Expert analysis of binary classification errors has shown that they are typical for the periods when ice is being actively formed or destructed, which results in alternating small areas of ice and open water offshore.
A method of integral manifolds is applied to study of twotempo nonlinear systems. The use of this method permits us to solve a problem of decomposition of two-rate controllable and observable systems. Controllability, observability and stabilisability of these systems is investigated. The application of the method is illustrated on example.
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