全球智库信息集成服务系统(G2TT): Optimal trajectory construction by integration of Hamiltonian dynamics in models of economic growth uder resource constraints.

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来源类型	Article
规范类型	其他
	Optimal trajectory construction by integration of Hamiltonian dynamics in models of economic growth uder resource constraints.
	Tarasyev AM; Usova AA; Russkikh OV; Wang W
发表日期	2014
出处	Proceedings of the Institute of Mathematics and Mechanics UrB RAS 20 (4): 258-276.
出版年	2014
语种	英语
摘要	The paper is devoted to an optimal control problem based on a model of optimization of natural resource productivity. The analysis of the problem is conducted with the use of Pontryagin's maximum principle adjusted to problems with infinite time horizon. Properties of the Hamiltonian function are investigated. Based on methods for resolving singularities a special change of variables is suggested, which allows to simplify essentially the solution of the problem by means of analyzing steady states and corresponding Jacobian matrices of the Hamiltonian system. An important property of the change of variables is the possibility of an adequate and meaningful economic interpretation of the new variables. The existence of steady states of the Hamiltonian dynamics in the domain of transient control regime is studied, and a stable manifold is constructed for finding boundary conditions of integration of the Hamiltonian system in backward time. On the basis of the implemented analysis, an algorithm is proposed for constructing optimal trajectories under resource constraints. The analysis of the algorithm provides estimates for its convergence time and for its error with respect to the utility functional of the control problem based on the properties of the Hamiltonian system and constraints of the model. The asymptotic behavior of optimal trajectories is studied with the use of the implemented research. The operation of the algorithm is illustrated by graphical results.
主题	Advanced Systems Analysis (ASA)
关键词	optimal control, models of economic growth, Pontryagin's maximum principle, integration of Hamiltonian dynamics
URL	http://pure.iiasa.ac.at/id/eprint/10796/
来源智库	International Institute for Applied Systems Analysis (Austria)
资源类型	智库出版物
条目标识符	http://119.78.100.153/handle/2XGU8XDN/129954
推荐引用方式 GB/T 7714	Tarasyev AM,Usova AA,Russkikh OV,et al. Optimal trajectory construction by integration of Hamiltonian dynamics in models of economic growth uder resource constraints.. 2014.