Stability and optimal exploitation over an infinite time horizon of interacting populations

IF 2 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods Pub Date : 2007-10-29 DOI:10.1002/OCA.4660030303

A. Haurie

引用次数: 1

Abstract

Models of optimal control of two-species ecological systems are considered on an infinite time horizon. Conditions are obtained under which the optimal exploitation of the system is stabilizing. Thus, a stationary state toward which all optimal trajectories must converge is defined. This extends to this class of models, the co-called turnpike property of optimal economic growth models.

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在相互作用的种群的无限时间范围内的稳定性和最佳开发

研究了无限时间范围内两物种生态系统的最优控制模型。得到了系统最优开发稳定的条件。因此，定义了一个所有最优轨迹必须收敛的稳态。这延伸到这类模型，称为最优经济增长模型的收费公路性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Optimal Control Applications & Methods 工程技术-应用数学

CiteScore

3.90

自引率

11.10%

发文量

108

审稿时长

3 months

期刊介绍： Optimal Control Applications & Methods provides a forum for papers on the full range of optimal and optimization based control theory and related control design methods. The aim is to encourage new developments in control theory and design methodologies that will lead to real advances in control applications. Papers are also encouraged on the development, comparison and testing of computational algorithms for solving optimal control and optimization problems. The scope also includes papers on optimal estimation and filtering methods which have control related applications. Finally, it will provide a focus for interesting optimal control design studies and report real applications experience covering problems in implementation and robustness.