| 非线性经济增长模型的最优控制问题 |
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| 引用本文： | 孔凡亮,陈星.非线性经济增长模型的最优控制问题[J].数学的实践与认识,2021(3):192-199. |
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| 作者姓名： | 孔凡亮 陈星 |
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| 作者单位： | 新疆工程学院数理学院 |
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| 基金项目： | 国家自然科学基金(11661077);新疆维吾尔自治区天山英才工程培养项目(2018xgytsyc2-5);新疆工程学院科研育人项目(2019xgy672112)。 |
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| 摘 要： | 研究了带有中性技术进步生产函数边界条件的非线性经济增长模型的最优控制问题.利用Banach空间不动点原理,得到了系统解的存在唯一性,利用Gronwall不等式得到了系统解关于控制序列的连续依赖性,借助于法锥和共轭系统,得到了控制问题最优解存在的必要条件.
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| 关 键 词： | 经济增长模型 最优控制 不动点定理 法锥 共轭系统 |
Optimal Control of Nonlinear Economic Growth Model |
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| KONG Fan-liang,CHEN Xing.Optimal Control of Nonlinear Economic Growth Model[J].Mathematics in Practice and Theory,2021(3):192-199. |
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| Authors: | KONG Fan-liang CHEN Xing |
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| Institution: | (School of Mathematics and Physics,Xinjiang Institute of Engineering,Urumqi 830091,China) |
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| Abstract: | The optimal control problem of nonlinear economic growth model with boundary condition of neutral production function is studied.The existence and uniqueness of the solution are obtained by using the fixed point principle of Banach space,the continuous dependence of the system solution on the control sequence is obtained by using the Gronwall inequality,by means of normal cone and adjoint system,the necessary condition for the existence of the optimal solution of the optimal control problem is obtained. |
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| Keywords: | economic growth model optimal control fixed point theorem normal cone adjoint system |
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