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Analytical Solution of the Problem of Modal Control by Output via Reducing to Modal Observation with Fewer Inputs 通过减少输入到模态观测的输出模态控制问题的分析解决方案
IF 0.6 4区 计算机科学
Journal of Computer and Systems Sciences International Pub Date : 2024-08-18 DOI: 10.1134/s106423072470014x
N. E. Zubov, A. V. Lapin
{"title":"Analytical Solution of the Problem of Modal Control by Output via Reducing to Modal Observation with Fewer Inputs","authors":"N. E. Zubov, A. V. Lapin","doi":"10.1134/s106423072470014x","DOIUrl":"https://doi.org/10.1134/s106423072470014x","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>An effective analytical method is proposed to solve the problem of modal control by output for a wide class of linear time-invariant systems in which the sum of inputs and outputs can be not only greater than or equal to but also less than the dimension of a state vector. The method is based on reducing the modal control by output to modal observation with fewer inputs. At the same time, it is not necessary to additionally ensure the solvability of the equation connecting the matrix of observer matrix and the desired matrix of controller by output. The reduction is performed by constructing a generalized dual canonical form of control using the operations of the block transpose and the rank decomposition of matrices. The method significantly expands the class of systems for which an analytical solution exists compared to the previously proposed approaches, since it is not strictly tied to the control system’s dimension and also does not require mandatory zeroing of the column and obtaining a system with a scalar input. Based on the proposed method, a strict algorithm for the analytical solution of problems from the considered class is formed. A simple and convenient necessary condition of reducibility of modal control by output to modal observation with fewer inputs is also obtained, which allows evaluating the possibility of analytical solution of the original problem basing only on its formulation. Examples of various problems of modal control by output in which the sum of inputs and outputs is less than or equal to the dimension of a state vector are considered in symbolic form. A detailed analytical solution of the considered examples demonstrates the efficiency of the proposed approach practical application.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Interval Observers for Hybrid Continuous-Time Stationary Systems 混合连续时间静态系统的区间观测器
IF 0.6 4区 计算机科学
Journal of Computer and Systems Sciences International Pub Date : 2024-08-18 DOI: 10.1134/s1064230724700163
A. N. Zhirabok, A. V. Zuev, A. E. Shumsky
{"title":"Interval Observers for Hybrid Continuous-Time Stationary Systems","authors":"A. N. Zhirabok, A. V. Zuev, A. E. Shumsky","doi":"10.1134/s1064230724700163","DOIUrl":"https://doi.org/10.1134/s1064230724700163","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The problem of designing interval observers for hybrid continuous stationary systems under external disturbances and measurement noise is studied. It is assumed that the continuous dynamics of such a system is described by a linear or nonlinear differential equation of state with a linear output function. The values of the system’s parameters depend on the region reached by its state and are switched using a control system (CS) with a finite number of states. The relations that allow designing a hybrid interval observer of the minimal dimension that is guaranteed to estimate the set of admissible values of the prescribed linear vector function of the system’s states are derived. To solve the problem, pair algebra of partitions and linear algebra are used. The theoretical results are illustrated by an example.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200077","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stochastic Models For the Time Complexity of Computing Tasks: II. Description of Interaction With Databases 计算任务时间复杂性的随机模型：II.与数据库交互的描述
IF 0.6 4区 计算机科学
Journal of Computer and Systems Sciences International Pub Date : 2024-08-18 DOI: 10.1134/s1064230724700151
A. V. Borisov, A. V. Bosov, A. V. Ivanov
{"title":"Stochastic Models For the Time Complexity of Computing Tasks: II. Description of Interaction With Databases","authors":"A. V. Borisov, A. V. Bosov, A. V. Ivanov","doi":"10.1134/s1064230724700151","DOIUrl":"https://doi.org/10.1134/s1064230724700151","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This paper is the second part of a series studying the design of the mathematical models for the execution time of user tasks carried out on virtual computing nodes. It analyzes the quality of the proposed models that describe the processing time of the information stored in the databases (DBs). A prototype of the anonymization system of passengers’ personal data is used as a testbed for stress testing. Stochastic models are constructed describing two types of user tasks: the procedure for the anonymization of personal data and calculation of the sample’s statistical characteristics. This paper contains a detailed description of planning and performing stress testing for both models. The obtained mathematical models developed from real data demonstrate a fairly high quality.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Krotov Global Sequential Improvement Method as Applied to the Problem of Maximizing the Probability of Getting into the Given Area 克罗托夫全局顺序改进法在最大化进入给定区域概率问题中的应用
IF 0.6 4区 计算机科学
Journal of Computer and Systems Sciences International Pub Date : 2024-08-18 DOI: 10.1134/s1064230724700266
M. M. Khrustalev, K. A. Tsarkov
{"title":"Krotov Global Sequential Improvement Method as Applied to the Problem of Maximizing the Probability of Getting into the Given Area","authors":"M. M. Khrustalev, K. A. Tsarkov","doi":"10.1134/s1064230724700266","DOIUrl":"https://doi.org/10.1134/s1064230724700266","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>An iterative method of the global improvement of an arbitrarily given control in a nonlinear dynamical system, proposed by V.F. Krotov, is described in detail in this paper. Various variants for applying the Krotov method to a problem of stochastic probabilistic optimization are discussed.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Controlling the Motion of an Advanced Manned Spacecraft Using Jet Thrusters 利用喷气推进器控制先进载人航天器的运动
IF 0.6 4区 计算机科学
Journal of Computer and Systems Sciences International Pub Date : 2024-08-18 DOI: 10.1134/s1064230724700242
A. V. Sumarokov
{"title":"On Controlling the Motion of an Advanced Manned Spacecraft Using Jet Thrusters","authors":"A. V. Sumarokov","doi":"10.1134/s1064230724700242","DOIUrl":"https://doi.org/10.1134/s1064230724700242","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The motion control of the advanced manned transport spacecraft Orel (MTSC Orel) is considered. For maneuvering and angular stabilization, a propulsion system (PS) is used as an actuator. In order to ensure simultaneous control of the motion of the center of mass of the spacecraft (SC) and its stabilization with the help of engines at each moment of time, it is necessary to solve the problems of determining the required change in the speed of the SC, choosing the optimal configuration of the engines for controlling the angular motion of the SC and correcting its orbit, and predicting the motion parameters of the SC. Methods for solving these problems, applied in the development of the control system of the manned transport spacecraft Orel, are presented. The operability of the described algorithms is confirmed by the results of mathematical modeling on a ground test bench for onboard software.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200083","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Optimal Control Function Diagrams in the Problem of the Movement of a Platform with Oscillators 论带有振荡器的平台运动问题中的最优控制函数图
IF 0.6 4区 计算机科学
Journal of Computer and Systems Sciences International Pub Date : 2024-08-18 DOI: 10.1134/s1064230724700199
O. R. Kayumov
{"title":"On the Optimal Control Function Diagrams in the Problem of the Movement of a Platform with Oscillators","authors":"O. R. Kayumov","doi":"10.1134/s1064230724700199","DOIUrl":"https://doi.org/10.1134/s1064230724700199","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>We consider the problem of the time-optimal movement of a rigid body moving translationally along a horizontal straight line and carrying <i>n</i> linear oscillators. The only control force is applied to the platform and is limited in magnitude, and there is no friction. The system is transferred from a state of rest to a specified distance with vibration damping. The evolution of optimal control functions depending on the distance of the movement is investigated. A general approach to construct a visual diagram reflecting this evolution is proposed. To do this, a geometric interpretation of the necessary optimality conditions is used as properties of an auxiliary control curve in <i>n</i>-dimensional space. Numerical examples of constructing diagrams of the optimal control functions for a platform with three oscillators are given.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Game-Theoretic Approach to Managing the Composition and Structure of a Bearing-Only Measurement System in Conditions of a priori Uncertainty 在先验不确定性条件下管理轴承专用测量系统的组成和结构的博弈论方法
IF 0.6 4区 计算机科学
Journal of Computer and Systems Sciences International Pub Date : 2024-08-18 DOI: 10.1134/s1064230724700230
G. A. Ugolnickiy, E. N. Chepel
{"title":"Game-Theoretic Approach to Managing the Composition and Structure of a Bearing-Only Measurement System in Conditions of a priori Uncertainty","authors":"G. A. Ugolnickiy, E. N. Chepel","doi":"10.1134/s1064230724700230","DOIUrl":"https://doi.org/10.1134/s1064230724700230","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The problem of managing the composition and structure of a bearing-only measurement system (BOMS) in a game-theoretic formulation is considered. An approach for a cooperative search for the placement of BOMS points and a method for estimating the work-time indicator of the system are proposed. The search for the placement of BOMS points uses the toolkit of multiagent potential games. The criteria for selecting the placement of points and the type of potential function are determined. The management of the composition and structure of the BOMS is based on the results of the cluster-variation method (CVM). A structural and functional description of the simulation model is presented. The presented results of simulation modeling confirm the practical effectiveness of the proposed approaches.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Control of Video Buffering for Video Streams Decoded from Cyclic Structures 循环结构解码视频流的视频缓冲控制
IF 0.6 4区 计算机科学
Journal of Computer and Systems Sciences International Pub Date : 2024-08-18 DOI: 10.1134/s1064230724700229
M. Y. Zvyozdochkin, V. V. Mironov
{"title":"Control of Video Buffering for Video Streams Decoded from Cyclic Structures","authors":"M. Y. Zvyozdochkin, V. V. Mironov","doi":"10.1134/s1064230724700229","DOIUrl":"https://doi.org/10.1134/s1064230724700229","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This article formulates a problem to maintain time intervals between frames when extracting video frames from an input stream grouped in cyclic quasi-telemetric structures. The implementation of a software buffer or a set of video frame buffers is considered as a general approach to solve this problem. Several ways of implementing such buffers and controlling their in a system for processing and transmitting video information (VI) are proposed. Experimental research of these methods is conducted and recommendations on using them are proposed.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200082","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimation of Probabilities of Transitions of a Markov Binary Input Signal of a Nonlinear System 非线性系统马尔可夫二进制输入信号转换概率的估算
IF 0.6 4区 计算机科学
Journal of Computer and Systems Sciences International Pub Date : 2024-08-18 DOI: 10.1134/s1064230724700175
V. A. Boldinov, V. A. Bukhalev, A. A. Skrynnikov, I. F. Khismatov
{"title":"Estimation of Probabilities of Transitions of a Markov Binary Input Signal of a Nonlinear System","authors":"V. A. Boldinov, V. A. Bukhalev, A. A. Skrynnikov, I. F. Khismatov","doi":"10.1134/s1064230724700175","DOIUrl":"https://doi.org/10.1134/s1064230724700175","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The problem of estimating unknown probabilities of transitions of a random Markov binary input signal of a nonlinear one-dimensional discrete system based on estimating the expectation and variance of the output signal is considered. The defined expressions are built on the basis of considering equally probable transitions and the steady-state mode of the algorithm for assessing the state of the system, obtained by approximating the probability density of its output signal by the Pearson type I distribution. An example of a comparison of the theoretical calculations with the results of imitation mathematical modeling is given.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical Models for Management of Production and Financial Activities of an Enterprise 企业生产和财务活动管理数学模型
IF 0.6 4区 计算机科学
Journal of Computer and Systems Sciences International Pub Date : 2024-08-18 DOI: 10.1134/s1064230724700217
T. G. Apalkova, O. A. Kosorukov, A. V. Mishchenko, V. I. Tsurkov
{"title":"Mathematical Models for Management of Production and Financial Activities of an Enterprise","authors":"T. G. Apalkova, O. A. Kosorukov, A. V. Mishchenko, V. I. Tsurkov","doi":"10.1134/s1064230724700217","DOIUrl":"https://doi.org/10.1134/s1064230724700217","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This paper proposes optimization models for the production and financial activities of an enterprise, which make it possible to increase the efficiency of its functioning in the modern market environment. The novelty of the proposed tools is due to taking into account the peculiarities of the processes of consumption and storage of finished products (FPs), as well as lending and expansion of production. To implement the proposed models, the generalized reduced gradient method is used, built into the MS Excel toolkit (the Solver add-on). Problems of choosing a production program can also be solved using other methods of this add-on, including the simplex method.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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