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RISK-SENSITIVE LQR PROBLEMS WITH EXPONENTIAL NOISE

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dc.contributor.author Shortanbaiuly, Olzhas
dc.date.accessioned 2024-06-07T10:57:24Z
dc.date.available 2024-06-07T10:57:24Z
dc.date.issued 2024-04-26
dc.identifier.citation Shortanbaiuly, O. (2024). Risk-sensitive LQR problems with exponential noise. Nazarbayev University School of Sciences and Humanities en_US
dc.identifier.uri http://nur.nu.edu.kz/handle/123456789/7791
dc.description.abstract This thesis is about optimal control of Markov Decision Processes and solving risk-sensitive cost minimization and reward maximization problems, specifically, the Linear Quadratic Regulator (LQR) problem with Average-Value-at-Risk criteria. The problem is solved for different risk levels, different random noises (theoretical and sampled), and using different methods: analytical and approximate dynamic programming. The obtained results were analyzed and discussed for the presence of certain patterns and trends. The results show that approximate dynamic programming is a very accurate method for solving risk-sensitive LQR problems with exponential noise. en_US
dc.language.iso en en_US
dc.publisher Nazarbayev University School of Sciences and Humanities en_US
dc.rights Attribution-NonCommercial-ShareAlike 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/us/ *
dc.subject LQR problem en_US
dc.subject Markov Decision Process en_US
dc.subject Average-Value-at-Risk en_US
dc.subject Approximate Dynamic Programming en_US
dc.subject Exponential Distribution en_US
dc.subject Type of access: Open Access en_US
dc.title RISK-SENSITIVE LQR PROBLEMS WITH EXPONENTIAL NOISE en_US
dc.type Master's thesis en_US
workflow.import.source science


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Attribution-NonCommercial-ShareAlike 3.0 United States Except where otherwise noted, this item's license is described as Attribution-NonCommercial-ShareAlike 3.0 United States