Optimal control problems on optimization of resources productivity

Usova AA & Tarasyev AM (2015). Optimal control problems on optimization of resources productivity. In: 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.

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Abstract

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.

Item Type: Book Section
Research Programs: Advanced Systems Analysis (ASA)
Bibliographic Reference: In: V. Mityushev and M.V. Ruzhansky (Eds.); Current Trends in Analysis and Its Applications (Proceedings of the 9th ISAAC Congress, Kraksw 2013); Birkhauser, Basel, Switzerland pp.133-142 (2015)
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Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:53
Last Modified: 17 Feb 2016 12:37
URI: http://pure.iiasa.ac.at/11604

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