Design of optimal strategies in the problems of discrete system control by the probabilistic criterion
A modification was proposed for the relations of the method of dynamic programming in the problems of optimal stochastic control of the discrete systems by the probabilistic performance criterion. It enabled one to simplify the process of finding the optimal Markov strategy and obtain a suboptimal s...
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Veröffentlicht in: | Automation and remote control 2017-06, Vol.78 (6), p.1006-1027 |
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description | A modification was proposed for the relations of the method of dynamic programming in the problems of optimal stochastic control of the discrete systems by the probabilistic performance criterion. It enabled one to simplify the process of finding the optimal Markov strategy and obtain a suboptimal solution. Its efficiency was verified by the examples of maneuver optimization of the stationary satellite in the neighborhood of a geostationary orbit. An explicit form of the optimal control for the bilinear system with probabilistic terminal criterion was determined using the results obtained. |
doi_str_mv | 10.1134/S0005117917060042 |
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M. ; Kan, Yu. S.</creator><creatorcontrib>Azanov, V. M. ; Kan, Yu. S.</creatorcontrib><description>A modification was proposed for the relations of the method of dynamic programming in the problems of optimal stochastic control of the discrete systems by the probabilistic performance criterion. It enabled one to simplify the process of finding the optimal Markov strategy and obtain a suboptimal solution. Its efficiency was verified by the examples of maneuver optimization of the stationary satellite in the neighborhood of a geostationary orbit. 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M.</creatorcontrib><creatorcontrib>Kan, Yu. S.</creatorcontrib><title>Design of optimal strategies in the problems of discrete system control by the probabilistic criterion</title><title>Automation and remote control</title><addtitle>Autom Remote Control</addtitle><description>A modification was proposed for the relations of the method of dynamic programming in the problems of optimal stochastic control of the discrete systems by the probabilistic performance criterion. It enabled one to simplify the process of finding the optimal Markov strategy and obtain a suboptimal solution. Its efficiency was verified by the examples of maneuver optimization of the stationary satellite in the neighborhood of a geostationary orbit. 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S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-82f481ede823a0d327315a4be4ca04893e814ada1d8256e0cc558f5c22dc896c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>CAE) and Design</topic><topic>Calculus of Variations and Optimal Control; Optimization</topic><topic>Computer-Aided Engineering (CAD</topic><topic>Control</topic><topic>Control systems</topic><topic>Criteria</topic><topic>Design engineering</topic><topic>Discrete systems</topic><topic>Dynamic programming</topic><topic>Dynamical systems</topic><topic>Efficiency</topic><topic>Markov processes</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Mechanical Engineering</topic><topic>Mechatronics</topic><topic>Optimal control</topic><topic>Probabilistic methods</topic><topic>Probability theory</topic><topic>Robotics</topic><topic>Stochastic processes</topic><topic>Stochastic Systems</topic><topic>Systems Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Azanov, V. M.</creatorcontrib><creatorcontrib>Kan, Yu. S.</creatorcontrib><collection>CrossRef</collection><jtitle>Automation and remote control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Azanov, V. M.</au><au>Kan, Yu. S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Design of optimal strategies in the problems of discrete system control by the probabilistic criterion</atitle><jtitle>Automation and remote control</jtitle><stitle>Autom Remote Control</stitle><date>2017-06-01</date><risdate>2017</risdate><volume>78</volume><issue>6</issue><spage>1006</spage><epage>1027</epage><pages>1006-1027</pages><issn>0005-1179</issn><eissn>1608-3032</eissn><abstract>A modification was proposed for the relations of the method of dynamic programming in the problems of optimal stochastic control of the discrete systems by the probabilistic performance criterion. 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subjects | CAE) and Design Calculus of Variations and Optimal Control Optimization Computer-Aided Engineering (CAD Control Control systems Criteria Design engineering Discrete systems Dynamic programming Dynamical systems Efficiency Markov processes Mathematics Mathematics and Statistics Mechanical Engineering Mechatronics Optimal control Probabilistic methods Probability theory Robotics Stochastic processes Stochastic Systems Systems Theory |
title | Design of optimal strategies in the problems of discrete system control by the probabilistic criterion |
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