G2TT
来源类型Book Section
DOI10.1007/978-3-319-12577-0_18
Optimal control problems on optimization of resources productivity.
Usova AA; Tarasyev AM; Mityushev, V.; (Eds.), M.V. Ruzhansky
发表日期2015
出处Current Trends in Analysis and Its Applications (Proceedings of the 9th ISAAC Congress, Kraksw 2013). Eds. Mityushev, V. & (Eds.), M.V. Ruzhansky , Basel: Birkhauser. ISBN 978-3-319-12576-3 DOI: 10.1007/978-3-319-12577-0_18 .
出版年2015
语种英语
摘要The paper is devoted to the optimal control problem which is based on the model of optimization of resources productivity. Model analysis is implemented within the framework of Pontryagin maximum principle for the problems with infinite time horizon. Qualitative analysis of the Hamiltonian system allows to formulate necessary and sufficient conditions of existence of a steady state in terms of the model parameters. Under these conditions and an assumption on the saddle character of the steady state, we construct a nonlinear regulator which allows to approximate optimal trajectories by the solutions of the stabilized Hamiltonian system at a vicinity of the steady state. Finally, comparative analysis of results of numerical simulations is carried out.
主题Advanced Systems Analysis (ASA)
URLhttp://pure.iiasa.ac.at/id/eprint/11604/
来源智库International Institute for Applied Systems Analysis (Austria)
引用统计
资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/134428
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GB/T 7714
Usova AA,Tarasyev AM,Mityushev, V.,et al. Optimal control problems on optimization of resources productivity.. 2015.
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