| 利用变量变换构造耗散系统Lagrange函数 |
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| 引用本文： | 丁光涛.利用变量变换构造耗散系统Lagrange函数[J].动力学与控制学报,2012,10(3):199-201. |
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| 作者姓名： | 丁光涛 |
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| 作者单位： | 安徽师范大学物理与电子信息学院,芜湖 241000 |
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| 摘 要： | 提出变系数耗散系统变分法逆问题的一种间接解法.首先利用坐标和时间变量变换将系统运动微分方程化为自伴随方程,计算得到Lagrange函数后,再变换为原来变量以得到给定方程的Lagrange函数.给出两个例子以说明所得结果的应用.
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| 关 键 词： | 逆问题 耗散系统 自伴随性 Lagrange函数 |
| 收稿时间： | 2011/9/22 0:00:00 |
| 修稿时间： | 2011/12/20 0:00:00 |
The construction of lagrangians for dissipative like systems by using the transformations of variables |
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| Ding Guangtao.The construction of lagrangians for dissipative like systems by using the transformations of variables[J].Journal of Dynamics and Control,2012,10(3):199-201. |
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| Authors: | Ding Guangtao |
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| Affiliation: | Ding Guangtao ( The College of Physics and Electronic Information,Anhui Normal University, Wuhu 241000, China) |
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| Abstract: | An indirect approach to the construction of Langrangians for dissipative-like systems was presented. First, the differential equations of motion were transformed into the self-adjoint equations with transforming the coordinates and time variables. Secondly, a Lagrangian can be computed from the self-adjoint equations of mo- tion. Lastly, the Lagrangian of the given equations was obtained by the inverse transformation of the coordinates and time variables. Two examples were given to illustrate the applications of the results. |
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| Keywords: | inverse problem dissipative system self-adjointness Lagrangian |
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