{"id":{"repo_id":"twu","oai_identifier":"oai:twu-ir.tdl.org:11274/10220"},"canonical_url":"https://search.dev.ndltd.org/etd/twu/oai:twu-ir.tdl.org:11274/10220","repository":{"repo_id":"twu","name":"Texas Woman's University","base_url":"https://twu-ir.tdl.org/server/oai/request"},"display":{"title":"Optimal control of a biological waste-water treatment plant","abstract":"In this paper a mathematical model of a biological waste cleaning plant is created and investigated. The model is described by a nonlinear system of two differential equations with one bounded control. An optimal control problem of minimizing concentration of contaminated water at terminal time T is stated and solved. Optimal solutions are obtained analytically with the use of Pontryagin&apos;s Maximum Principle.","abstract_html":"In this paper a mathematical model of a biological waste cleaning plant is created and investigated. 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