| 动态经济学数学建模及稳定化控制分析 |
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| 引用本文： | 蔡佐威,黄立宏.动态经济学数学建模及稳定化控制分析[J].经济数学,2018(2):30-36. |
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| 作者姓名： | 蔡佐威 黄立宏 |
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| 作者单位： | 湖南女子学院信息技术系;长沙理工大学数学与统计学院;湖南大学数学与计量经济学院 |
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| 摘 要： | 通过考虑需求函数和供给函数受到不连续因素的影响以及引进切换型的控制策略,建立由右端不连续微分方程刻画的非线性价格调整模型.利用微分包含理论和Lyapunov稳定性方法分析不连续价格调整模型的有限时间稳定化控制问题,并给出数值模拟实例进行验证说明.最后,结合动态经济学数学建模提出数学建模教学改革的几点建议.
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| 关 键 词： | 应用数学 有限时间稳定化 Lyapunov函数法 动态经济学 数学建模 |
The Mathematical Modeling and Stabilization Control Analysis of Dynamic Economics |
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| Zuowei Cai,Lihong Huang.The Mathematical Modeling and Stabilization Control Analysis of Dynamic Economics[J].Mathematics in Economics,2018(2):30-36. |
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| Authors: | Zuowei Cai Lihong Huang |
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| Abstract: | By considering the influence of discontinuous factors on demand function and supply function and introducing the control strategy of switching type, a nonlinear price adjustment model described by discontinuous differential equation is established. By using differential inclusion theory and Lyapunov stability method, the finite time stabilization control problem of the discontinuous price adjustment model is analyzed. Moreover, the numerical simulation examples are given to verify the results. Finally, combining the mathematical modeling of dynamic economics, several suggestions on the teaching reform of mathematical modeling is put forward. |
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| Keywords: | applied mathematics finite-time stabilization Lyapunov function method dynamic economics mathematical modeling |
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