Estimation of Probabilities of Transitions of a Markov Binary Input Signal of a Nonlinear System

IF 0.5 4区 计算机科学 Q4 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE 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":null,"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":"42 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computer and Systems Sciences International","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1134/s1064230724700175","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
引用次数: 0

Abstract

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.

Abstract Image

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
非线性系统马尔可夫二进制输入信号转换概率的估算
摘要 本研究考虑了在估计输出信号的期望值和方差的基础上估计非线性一维离散系统的随机马尔可夫二进制输入信号的未知转换概率问题。所定义的表达式建立在考虑等概率转换和评估系统状态算法的稳态模式的基础上,该算法通过皮尔逊 I 型分布近似其输出信号的概率密度获得。文中举例说明了理论计算与模仿数学建模结果的比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Journal of Computer and Systems Sciences International
Journal of Computer and Systems Sciences International 工程技术-计算机:控制论
CiteScore
1.50
自引率
33.30%
发文量
68
审稿时长
6-12 weeks
期刊介绍: Journal of Computer and System Sciences International is a journal published in collaboration with the Russian Academy of Sciences. It covers all areas of control theory and systems. The journal features papers on the theory and methods of control, as well as papers devoted to the study, design, modeling, development, and application of new control systems. The journal publishes papers that reflect contemporary research and development in the field of control. Particular attention is given to applications of computer methods and technologies to control theory and control engineering. The journal publishes proceedings of international scientific conferences in the form of collections of regular journal articles and reviews by top experts on topical problems of modern studies in control theory.
期刊最新文献
Interval Observers for Hybrid Continuous-Time Stationary Systems Krotov Global Sequential Improvement Method as Applied to the Problem of Maximizing the Probability of Getting into the Given Area On the Optimal Control Function Diagrams in the Problem of the Movement of a Platform with Oscillators Mathematical Models for Management of Production and Financial Activities of an Enterprise Game-Theoretic Approach to Managing the Composition and Structure of a Bearing-Only Measurement System in Conditions of a priori Uncertainty
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1